Find 5% of 80.
Answer / solution
Correct option: D
5% of 80 = 80×5/100 = 4.
% Every SSC and banking paper
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
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.
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.
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.
Simplification Profit and Loss Ratio and Proportion Average All formulas SSC GD mocks SSC CGL mocks
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.
Correct option: D
5% of 80 = 80×5/100 = 4.
Correct option: B
New = 250×(100+15)/100 = 287.
Correct option: C
New = 480×(100−15)/100 = 408.
Correct option: B
(32/140)×100 = 22%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
130 + 25% of 130 = 162.
Correct option: A
35% of 200 = 200×35/100 = 70.
Correct option: C
New = 550×(100+45)/100 = 797.
Correct option: D
New = 720×(100−45)/100 = 396.
Correct option: D
(56/260)×100 = 21%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: A
110 + 25% of 110 = 137.
Correct option: D
65% of 320 = 320×65/100 = 208.
Correct option: C
New = 250×(100+35)/100 = 337.
Correct option: B
New = 560×(100−25)/100 = 420.
Correct option: C
(80/180)×100 = 44%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
90 + 25% of 90 = 112.
Correct option: A
20% of 440 = 440×20/100 = 88.
Correct option: A
New = 550×(100+25)/100 = 687.
Correct option: A
New = 400×(100−5)/100 = 380.
Correct option: C
(24/100)×100 = 24%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: C
150 + 25% of 150 = 187.
Correct option: B
50% of 160 = 160×50/100 = 80.
Correct option: B
New = 250×(100+15)/100 = 287.
Correct option: A
New = 640×(100−35)/100 = 416.
Correct option: B
(48/220)×100 = 21%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
130 + 25% of 130 = 162.
Correct option: A
5% of 280 = 280×5/100 = 14.
Correct option: C
New = 550×(100+45)/100 = 797.
Correct option: C
New = 480×(100−15)/100 = 408.
Correct option: D
(72/140)×100 = 51%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: A
110 + 25% of 110 = 137.
Correct option: A
35% of 400 = 400×35/100 = 140.
Correct option: C
New = 250×(100+35)/100 = 337.
Correct option: D
New = 720×(100−45)/100 = 396.
Correct option: B
(96/260)×100 = 36%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
90 + 25% of 90 = 112.
Correct option: C
65% of 120 = 120×65/100 = 78.
Correct option: A
New = 550×(100+25)/100 = 687.
Correct option: B
New = 560×(100−25)/100 = 420.
Correct option: A
(40/180)×100 = 22%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: C
150 + 25% of 150 = 187.
Correct option: A
20% of 240 = 240×20/100 = 48.
Correct option: B
New = 250×(100+15)/100 = 287.
Correct option: A
New = 400×(100−5)/100 = 380.
Correct option: A
(64/100)×100 = 64%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
130 + 25% of 130 = 162.
Correct option: A
50% of 360 = 360×50/100 = 180.
Correct option: C
New = 550×(100+45)/100 = 797.
Correct option: A
New = 640×(100−35)/100 = 416.
Correct option: D
(88/220)×100 = 40%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: A
110 + 25% of 110 = 137.
Correct option: D
5% of 80 = 80×5/100 = 4.
Correct option: C
New = 250×(100+35)/100 = 337.
Correct option: C
New = 480×(100−15)/100 = 408.
Correct option: B
(32/140)×100 = 22%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
90 + 25% of 90 = 112.
Correct option: A
35% of 200 = 200×35/100 = 70.
Correct option: A
New = 550×(100+25)/100 = 687.
Correct option: D
New = 720×(100−45)/100 = 396.
Correct option: D
(56/260)×100 = 21%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: C
150 + 25% of 150 = 187.
Correct option: D
65% of 320 = 320×65/100 = 208.
Correct option: B
New = 250×(100+15)/100 = 287.
Correct option: B
New = 560×(100−25)/100 = 420.
Correct option: C
(80/180)×100 = 44%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
130 + 25% of 130 = 162.
Correct option: A
20% of 440 = 440×20/100 = 88.
Correct option: C
New = 550×(100+45)/100 = 797.
Correct option: A
New = 400×(100−5)/100 = 380.
Correct option: C
(24/100)×100 = 24%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: A
110 + 25% of 110 = 137.
Correct option: B
50% of 160 = 160×50/100 = 80.
Correct option: C
New = 250×(100+35)/100 = 337.
Correct option: A
New = 640×(100−35)/100 = 416.
Correct option: B
(48/220)×100 = 21%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
90 + 25% of 90 = 112.
Correct option: A
5% of 280 = 280×5/100 = 14.
Correct option: A
New = 550×(100+25)/100 = 687.
Correct option: C
New = 480×(100−15)/100 = 408.
Correct option: D
(72/140)×100 = 51%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: C
150 + 25% of 150 = 187.
Correct option: A
35% of 400 = 400×35/100 = 140.
Correct option: B
New = 250×(100+15)/100 = 287.
Correct option: D
New = 720×(100−45)/100 = 396.
Correct option: B
(96/260)×100 = 36%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
130 + 25% of 130 = 162.
Correct option: C
65% of 120 = 120×65/100 = 78.
Correct option: C
New = 550×(100+45)/100 = 797.
Correct option: B
New = 560×(100−25)/100 = 420.
Correct option: A
(40/180)×100 = 22%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: A
110 + 25% of 110 = 137.
Correct option: A
20% of 240 = 240×20/100 = 48.
Correct option: C
New = 250×(100+35)/100 = 337.
Correct option: A
New = 400×(100−5)/100 = 380.
Correct option: A
(64/100)×100 = 64%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
90 + 25% of 90 = 112.
Correct option: A
50% of 360 = 360×50/100 = 180.
Correct option: A
New = 550×(100+25)/100 = 687.
Correct option: A
New = 640×(100−35)/100 = 416.
Correct option: D
(88/220)×100 = 40%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: C
150 + 25% of 150 = 187.
Correct option: D
5% of 80 = 80×5/100 = 4.
Correct option: B
New = 250×(100+15)/100 = 287.
Correct option: C
New = 480×(100−15)/100 = 408.
Correct option: B
(32/140)×100 = 22%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
130 + 25% of 130 = 162.
Correct option: A
35% of 200 = 200×35/100 = 70.
Correct option: C
New = 550×(100+45)/100 = 797.
Correct option: D
New = 720×(100−45)/100 = 396.
Correct option: D
(56/260)×100 = 21%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: A
110 + 25% of 110 = 137.
Correct option: D
65% of 320 = 320×65/100 = 208.
Correct option: C
New = 250×(100+35)/100 = 337.
Correct option: B
New = 560×(100−25)/100 = 420.
Correct option: C
(80/180)×100 = 44%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
90 + 25% of 90 = 112.
Correct option: A
20% of 440 = 440×20/100 = 88.
Correct option: A
New = 550×(100+25)/100 = 687.
Correct option: A
New = 400×(100−5)/100 = 380.
Correct option: C
(24/100)×100 = 24%.
Correct option: B
Net = x+y+xy/100 = 30+30+(900)/100 = 69%.
Correct option: C
150 + 25% of 150 = 187.
Correct option: B
50% of 160 = 160×50/100 = 80.
Correct option: B
New = 250×(100+15)/100 = 287.
Correct option: A
New = 640×(100−35)/100 = 416.
Correct option: B
(48/220)×100 = 21%.
Correct option: C
Net = x+y+xy/100 = 10+30+(300)/100 = 43%.
Correct option: B
130 + 25% of 130 = 162.
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