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Percentage — formula, example and practice

The base chapter for profit-loss, interest and data interpretation.

Content type: original worked example. Not labelled as a previous-year question.

Timed GK/quant mock Shortcuts CBSE Class 10 Maths 150 questions

Formula

x% of N = (x/100) × N · N is what % of M = (N/M) × 100

Percentage is a number written as parts per hundred. Almost every SSC arithmetic chapter (profit-loss, interest, DI) is a percentage in disguise.

What you should learn here

Students search “percentage questions for SSC GD” because this chapter is short to learn and long to master. The paper does not ask you to recite “per hundred”. It asks you to survive two successive changes, a population-growth sentence, or a DI table that only prints percentages.

Start from one identity: a% of b equals b% of a. That single swap saves time in mental arithmetic. Then learn the multiplier: an increase of r% is ×(100+r)/100; a decrease is ×(100−r)/100. Chain them in the same order the question states.

For “A is what percent of B”, write (A/B)×100 and simplify the fraction before multiplying. For “A is what percent more than B”, the base is B, not A — that mix-up is the most common mark loss in GD and MTS.

Worked example

Question. A number is first increased by 20% and then decreased by 20%. What is the net change?

Solution. Net multiplier = 1.20 × 0.80 = 0.96. Net change is a 4% decrease. Shortcut: successive +x% and −x% always gives −(x²/100)% .

Common mistake. Adding +20 and −20 as zero. Successive percentages multiply; they do not cancel.

When to use the shortcut. Use the multiplier method (1 ± r/100) whenever two or more changes happen in a row.

Related chapters and tests

Simplification Profit and Loss Ratio and Proportion Average All formulas SSC GD mocks SSC CGL mocks

150 important Percentage questions

Original arithmetic practice for this page. Not labelled as previous-year SSC/railway items. Tap an option to mark it. Open “Answer” for the working.

Q. 1प्रतिशत

Find 5% of 80.

Answer / solution

Correct option: D

5% of 80 = 80×5/100 = 4.

Q. 2प्रतिशत

A number 250 is increased by 15%. The new value is

Answer / solution

Correct option: B

New = 250×(100+15)/100 = 287.

Q. 3प्रतिशत

A number 480 is decreased by 15%. The new value is

Answer / solution

Correct option: C

New = 480×(100−15)/100 = 408.

Q. 4प्रतिशत

32 is what percent of 140?

Answer / solution

Correct option: B

(32/140)×100 = 22%.

Q. 5प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 6प्रतिशत

If a quantity is 25% more than 130, it equals

Answer / solution

Correct option: B

130 + 25% of 130 = 162.

Q. 7प्रतिशत

Find 35% of 200.

Answer / solution

Correct option: A

35% of 200 = 200×35/100 = 70.

Q. 8प्रतिशत

A number 550 is increased by 45%. The new value is

Answer / solution

Correct option: C

New = 550×(100+45)/100 = 797.

Q. 9प्रतिशत

A number 720 is decreased by 45%. The new value is

Answer / solution

Correct option: D

New = 720×(100−45)/100 = 396.

Q. 10प्रतिशत

56 is what percent of 260?

Answer / solution

Correct option: D

(56/260)×100 = 21%.

Q. 11प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 12प्रतिशत

If a quantity is 25% more than 110, it equals

Answer / solution

Correct option: A

110 + 25% of 110 = 137.

Q. 13प्रतिशत

Find 65% of 320.

Answer / solution

Correct option: D

65% of 320 = 320×65/100 = 208.

Q. 14प्रतिशत

A number 250 is increased by 35%. The new value is

Answer / solution

Correct option: C

New = 250×(100+35)/100 = 337.

Q. 15प्रतिशत

A number 560 is decreased by 25%. The new value is

Answer / solution

Correct option: B

New = 560×(100−25)/100 = 420.

Q. 16प्रतिशत

80 is what percent of 180?

Answer / solution

Correct option: C

(80/180)×100 = 44%.

Q. 17प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 18प्रतिशत

If a quantity is 25% more than 90, it equals

Answer / solution

Correct option: B

90 + 25% of 90 = 112.

Q. 19प्रतिशत

Find 20% of 440.

Answer / solution

Correct option: A

20% of 440 = 440×20/100 = 88.

Q. 20प्रतिशत

A number 550 is increased by 25%. The new value is

Answer / solution

Correct option: A

New = 550×(100+25)/100 = 687.

Q. 21प्रतिशत

A number 400 is decreased by 5%. The new value is

Answer / solution

Correct option: A

New = 400×(100−5)/100 = 380.

Q. 22प्रतिशत

24 is what percent of 100?

Answer / solution

Correct option: C

(24/100)×100 = 24%.

Q. 23प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 24प्रतिशत

If a quantity is 25% more than 150, it equals

Answer / solution

Correct option: C

150 + 25% of 150 = 187.

Q. 25प्रतिशत

Find 50% of 160.

Answer / solution

Correct option: B

50% of 160 = 160×50/100 = 80.

Q. 26प्रतिशत

A number 250 is increased by 15%. The new value is

Answer / solution

Correct option: B

New = 250×(100+15)/100 = 287.

Q. 27प्रतिशत

A number 640 is decreased by 35%. The new value is

Answer / solution

Correct option: A

New = 640×(100−35)/100 = 416.

Q. 28प्रतिशत

48 is what percent of 220?

Answer / solution

Correct option: B

(48/220)×100 = 21%.

Q. 29प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 30प्रतिशत

If a quantity is 25% more than 130, it equals

Answer / solution

Correct option: B

130 + 25% of 130 = 162.

Q. 31प्रतिशत

Find 5% of 280.

Answer / solution

Correct option: A

5% of 280 = 280×5/100 = 14.

Q. 32प्रतिशत

A number 550 is increased by 45%. The new value is

Answer / solution

Correct option: C

New = 550×(100+45)/100 = 797.

Q. 33प्रतिशत

A number 480 is decreased by 15%. The new value is

Answer / solution

Correct option: C

New = 480×(100−15)/100 = 408.

Q. 34प्रतिशत

72 is what percent of 140?

Answer / solution

Correct option: D

(72/140)×100 = 51%.

Q. 35प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 36प्रतिशत

If a quantity is 25% more than 110, it equals

Answer / solution

Correct option: A

110 + 25% of 110 = 137.

Q. 37प्रतिशत

Find 35% of 400.

Answer / solution

Correct option: A

35% of 400 = 400×35/100 = 140.

Q. 38प्रतिशत

A number 250 is increased by 35%. The new value is

Answer / solution

Correct option: C

New = 250×(100+35)/100 = 337.

Q. 39प्रतिशत

A number 720 is decreased by 45%. The new value is

Answer / solution

Correct option: D

New = 720×(100−45)/100 = 396.

Q. 40प्रतिशत

96 is what percent of 260?

Answer / solution

Correct option: B

(96/260)×100 = 36%.

Q. 41प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 42प्रतिशत

If a quantity is 25% more than 90, it equals

Answer / solution

Correct option: B

90 + 25% of 90 = 112.

Q. 43प्रतिशत

Find 65% of 120.

Answer / solution

Correct option: C

65% of 120 = 120×65/100 = 78.

Q. 44प्रतिशत

A number 550 is increased by 25%. The new value is

Answer / solution

Correct option: A

New = 550×(100+25)/100 = 687.

Q. 45प्रतिशत

A number 560 is decreased by 25%. The new value is

Answer / solution

Correct option: B

New = 560×(100−25)/100 = 420.

Q. 46प्रतिशत

40 is what percent of 180?

Answer / solution

Correct option: A

(40/180)×100 = 22%.

Q. 47प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 48प्रतिशत

If a quantity is 25% more than 150, it equals

Answer / solution

Correct option: C

150 + 25% of 150 = 187.

Q. 49प्रतिशत

Find 20% of 240.

Answer / solution

Correct option: A

20% of 240 = 240×20/100 = 48.

Q. 50प्रतिशत

A number 250 is increased by 15%. The new value is

Answer / solution

Correct option: B

New = 250×(100+15)/100 = 287.

Q. 51प्रतिशत

A number 400 is decreased by 5%. The new value is

Answer / solution

Correct option: A

New = 400×(100−5)/100 = 380.

Q. 52प्रतिशत

64 is what percent of 100?

Answer / solution

Correct option: A

(64/100)×100 = 64%.

Q. 53प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 54प्रतिशत

If a quantity is 25% more than 130, it equals

Answer / solution

Correct option: B

130 + 25% of 130 = 162.

Q. 55प्रतिशत

Find 50% of 360.

Answer / solution

Correct option: A

50% of 360 = 360×50/100 = 180.

Q. 56प्रतिशत

A number 550 is increased by 45%. The new value is

Answer / solution

Correct option: C

New = 550×(100+45)/100 = 797.

Q. 57प्रतिशत

A number 640 is decreased by 35%. The new value is

Answer / solution

Correct option: A

New = 640×(100−35)/100 = 416.

Q. 58प्रतिशत

88 is what percent of 220?

Answer / solution

Correct option: D

(88/220)×100 = 40%.

Q. 59प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 60प्रतिशत

If a quantity is 25% more than 110, it equals

Answer / solution

Correct option: A

110 + 25% of 110 = 137.

Q. 61प्रतिशत

Find 5% of 80.

Answer / solution

Correct option: D

5% of 80 = 80×5/100 = 4.

Q. 62प्रतिशत

A number 250 is increased by 35%. The new value is

Answer / solution

Correct option: C

New = 250×(100+35)/100 = 337.

Q. 63प्रतिशत

A number 480 is decreased by 15%. The new value is

Answer / solution

Correct option: C

New = 480×(100−15)/100 = 408.

Q. 64प्रतिशत

32 is what percent of 140?

Answer / solution

Correct option: B

(32/140)×100 = 22%.

Q. 65प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 66प्रतिशत

If a quantity is 25% more than 90, it equals

Answer / solution

Correct option: B

90 + 25% of 90 = 112.

Q. 67प्रतिशत

Find 35% of 200.

Answer / solution

Correct option: A

35% of 200 = 200×35/100 = 70.

Q. 68प्रतिशत

A number 550 is increased by 25%. The new value is

Answer / solution

Correct option: A

New = 550×(100+25)/100 = 687.

Q. 69प्रतिशत

A number 720 is decreased by 45%. The new value is

Answer / solution

Correct option: D

New = 720×(100−45)/100 = 396.

Q. 70प्रतिशत

56 is what percent of 260?

Answer / solution

Correct option: D

(56/260)×100 = 21%.

Q. 71प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 72प्रतिशत

If a quantity is 25% more than 150, it equals

Answer / solution

Correct option: C

150 + 25% of 150 = 187.

Q. 73प्रतिशत

Find 65% of 320.

Answer / solution

Correct option: D

65% of 320 = 320×65/100 = 208.

Q. 74प्रतिशत

A number 250 is increased by 15%. The new value is

Answer / solution

Correct option: B

New = 250×(100+15)/100 = 287.

Q. 75प्रतिशत

A number 560 is decreased by 25%. The new value is

Answer / solution

Correct option: B

New = 560×(100−25)/100 = 420.

Q. 76प्रतिशत

80 is what percent of 180?

Answer / solution

Correct option: C

(80/180)×100 = 44%.

Q. 77प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 78प्रतिशत

If a quantity is 25% more than 130, it equals

Answer / solution

Correct option: B

130 + 25% of 130 = 162.

Q. 79प्रतिशत

Find 20% of 440.

Answer / solution

Correct option: A

20% of 440 = 440×20/100 = 88.

Q. 80प्रतिशत

A number 550 is increased by 45%. The new value is

Answer / solution

Correct option: C

New = 550×(100+45)/100 = 797.

Q. 81प्रतिशत

A number 400 is decreased by 5%. The new value is

Answer / solution

Correct option: A

New = 400×(100−5)/100 = 380.

Q. 82प्रतिशत

24 is what percent of 100?

Answer / solution

Correct option: C

(24/100)×100 = 24%.

Q. 83प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 84प्रतिशत

If a quantity is 25% more than 110, it equals

Answer / solution

Correct option: A

110 + 25% of 110 = 137.

Q. 85प्रतिशत

Find 50% of 160.

Answer / solution

Correct option: B

50% of 160 = 160×50/100 = 80.

Q. 86प्रतिशत

A number 250 is increased by 35%. The new value is

Answer / solution

Correct option: C

New = 250×(100+35)/100 = 337.

Q. 87प्रतिशत

A number 640 is decreased by 35%. The new value is

Answer / solution

Correct option: A

New = 640×(100−35)/100 = 416.

Q. 88प्रतिशत

48 is what percent of 220?

Answer / solution

Correct option: B

(48/220)×100 = 21%.

Q. 89प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 90प्रतिशत

If a quantity is 25% more than 90, it equals

Answer / solution

Correct option: B

90 + 25% of 90 = 112.

Q. 91प्रतिशत

Find 5% of 280.

Answer / solution

Correct option: A

5% of 280 = 280×5/100 = 14.

Q. 92प्रतिशत

A number 550 is increased by 25%. The new value is

Answer / solution

Correct option: A

New = 550×(100+25)/100 = 687.

Q. 93प्रतिशत

A number 480 is decreased by 15%. The new value is

Answer / solution

Correct option: C

New = 480×(100−15)/100 = 408.

Q. 94प्रतिशत

72 is what percent of 140?

Answer / solution

Correct option: D

(72/140)×100 = 51%.

Q. 95प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 96प्रतिशत

If a quantity is 25% more than 150, it equals

Answer / solution

Correct option: C

150 + 25% of 150 = 187.

Q. 97प्रतिशत

Find 35% of 400.

Answer / solution

Correct option: A

35% of 400 = 400×35/100 = 140.

Q. 98प्रतिशत

A number 250 is increased by 15%. The new value is

Answer / solution

Correct option: B

New = 250×(100+15)/100 = 287.

Q. 99प्रतिशत

A number 720 is decreased by 45%. The new value is

Answer / solution

Correct option: D

New = 720×(100−45)/100 = 396.

Q. 100प्रतिशत

96 is what percent of 260?

Answer / solution

Correct option: B

(96/260)×100 = 36%.

Q. 101प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 102प्रतिशत

If a quantity is 25% more than 130, it equals

Answer / solution

Correct option: B

130 + 25% of 130 = 162.

Q. 103प्रतिशत

Find 65% of 120.

Answer / solution

Correct option: C

65% of 120 = 120×65/100 = 78.

Q. 104प्रतिशत

A number 550 is increased by 45%. The new value is

Answer / solution

Correct option: C

New = 550×(100+45)/100 = 797.

Q. 105प्रतिशत

A number 560 is decreased by 25%. The new value is

Answer / solution

Correct option: B

New = 560×(100−25)/100 = 420.

Q. 106प्रतिशत

40 is what percent of 180?

Answer / solution

Correct option: A

(40/180)×100 = 22%.

Q. 107प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 108प्रतिशत

If a quantity is 25% more than 110, it equals

Answer / solution

Correct option: A

110 + 25% of 110 = 137.

Q. 109प्रतिशत

Find 20% of 240.

Answer / solution

Correct option: A

20% of 240 = 240×20/100 = 48.

Q. 110प्रतिशत

A number 250 is increased by 35%. The new value is

Answer / solution

Correct option: C

New = 250×(100+35)/100 = 337.

Q. 111प्रतिशत

A number 400 is decreased by 5%. The new value is

Answer / solution

Correct option: A

New = 400×(100−5)/100 = 380.

Q. 112प्रतिशत

64 is what percent of 100?

Answer / solution

Correct option: A

(64/100)×100 = 64%.

Q. 113प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 114प्रतिशत

If a quantity is 25% more than 90, it equals

Answer / solution

Correct option: B

90 + 25% of 90 = 112.

Q. 115प्रतिशत

Find 50% of 360.

Answer / solution

Correct option: A

50% of 360 = 360×50/100 = 180.

Q. 116प्रतिशत

A number 550 is increased by 25%. The new value is

Answer / solution

Correct option: A

New = 550×(100+25)/100 = 687.

Q. 117प्रतिशत

A number 640 is decreased by 35%. The new value is

Answer / solution

Correct option: A

New = 640×(100−35)/100 = 416.

Q. 118प्रतिशत

88 is what percent of 220?

Answer / solution

Correct option: D

(88/220)×100 = 40%.

Q. 119प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 120प्रतिशत

If a quantity is 25% more than 150, it equals

Answer / solution

Correct option: C

150 + 25% of 150 = 187.

Q. 121प्रतिशत

Find 5% of 80.

Answer / solution

Correct option: D

5% of 80 = 80×5/100 = 4.

Q. 122प्रतिशत

A number 250 is increased by 15%. The new value is

Answer / solution

Correct option: B

New = 250×(100+15)/100 = 287.

Q. 123प्रतिशत

A number 480 is decreased by 15%. The new value is

Answer / solution

Correct option: C

New = 480×(100−15)/100 = 408.

Q. 124प्रतिशत

32 is what percent of 140?

Answer / solution

Correct option: B

(32/140)×100 = 22%.

Q. 125प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 126प्रतिशत

If a quantity is 25% more than 130, it equals

Answer / solution

Correct option: B

130 + 25% of 130 = 162.

Q. 127प्रतिशत

Find 35% of 200.

Answer / solution

Correct option: A

35% of 200 = 200×35/100 = 70.

Q. 128प्रतिशत

A number 550 is increased by 45%. The new value is

Answer / solution

Correct option: C

New = 550×(100+45)/100 = 797.

Q. 129प्रतिशत

A number 720 is decreased by 45%. The new value is

Answer / solution

Correct option: D

New = 720×(100−45)/100 = 396.

Q. 130प्रतिशत

56 is what percent of 260?

Answer / solution

Correct option: D

(56/260)×100 = 21%.

Q. 131प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 132प्रतिशत

If a quantity is 25% more than 110, it equals

Answer / solution

Correct option: A

110 + 25% of 110 = 137.

Q. 133प्रतिशत

Find 65% of 320.

Answer / solution

Correct option: D

65% of 320 = 320×65/100 = 208.

Q. 134प्रतिशत

A number 250 is increased by 35%. The new value is

Answer / solution

Correct option: C

New = 250×(100+35)/100 = 337.

Q. 135प्रतिशत

A number 560 is decreased by 25%. The new value is

Answer / solution

Correct option: B

New = 560×(100−25)/100 = 420.

Q. 136प्रतिशत

80 is what percent of 180?

Answer / solution

Correct option: C

(80/180)×100 = 44%.

Q. 137प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 138प्रतिशत

If a quantity is 25% more than 90, it equals

Answer / solution

Correct option: B

90 + 25% of 90 = 112.

Q. 139प्रतिशत

Find 20% of 440.

Answer / solution

Correct option: A

20% of 440 = 440×20/100 = 88.

Q. 140प्रतिशत

A number 550 is increased by 25%. The new value is

Answer / solution

Correct option: A

New = 550×(100+25)/100 = 687.

Q. 141प्रतिशत

A number 400 is decreased by 5%. The new value is

Answer / solution

Correct option: A

New = 400×(100−5)/100 = 380.

Q. 142प्रतिशत

24 is what percent of 100?

Answer / solution

Correct option: C

(24/100)×100 = 24%.

Q. 143प्रतिशत

A value rises 30% and then 30%. Net % increase is

Answer / solution

Correct option: B

Net = x+y+xy/100 = 30+30+(900)/100 = 69%.

Q. 144प्रतिशत

If a quantity is 25% more than 150, it equals

Answer / solution

Correct option: C

150 + 25% of 150 = 187.

Q. 145प्रतिशत

Find 50% of 160.

Answer / solution

Correct option: B

50% of 160 = 160×50/100 = 80.

Q. 146प्रतिशत

A number 250 is increased by 15%. The new value is

Answer / solution

Correct option: B

New = 250×(100+15)/100 = 287.

Q. 147प्रतिशत

A number 640 is decreased by 35%. The new value is

Answer / solution

Correct option: A

New = 640×(100−35)/100 = 416.

Q. 148प्रतिशत

48 is what percent of 220?

Answer / solution

Correct option: B

(48/220)×100 = 21%.

Q. 149प्रतिशत

A value rises 10% and then 30%. Net % increase is

Answer / solution

Correct option: C

Net = x+y+xy/100 = 10+30+(300)/100 = 43%.

Q. 150प्रतिशत

If a quantity is 25% more than 130, it equals

Answer / solution

Correct option: B

130 + 25% of 130 = 162.

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