Divide ₹60 in the ratio 2:3. The first part is
Answer / solution
Correct option: A
First = 2/(5)×60 = 24.
⚖️ SSC, Railway, Police
Ratio and Proportion — formula, example and practice
Partnership, mixture and map-scale questions sit on this chapter.
Content type: original worked example. Not labelled as a previous-year question.
Timed GK/quant mock Shortcuts CBSE Class 10 Maths 150 questions
Formula
a : b = a/b · If a/b = c/d then ad = bc (cross multiply)
A ratio compares two quantities of the same kind. Proportion says two ratios are equal.
What you should learn here
Partnership and mixture sit on ratio. If capitals or times differ, multiply first: share ∝ capital × months.
Map questions (“1 cm : 2 km”) are ratio plus unit conversion. Convert both sides to the same unit before cross-multiplying.
Worked example
Question. Divide ₹ 840 in the ratio 3 : 4.
Solution. Parts = 7. First share = 840 × 3/7 = 360; second = 480.
Common mistake. Adding a third quantity into a two-term ratio without writing the compound ratio (a:b and b:c → a:b:c).
When to use the shortcut. Convert every sentence into parts before you introduce rupees or litres.
Related chapters and tests
Profit and Loss Average Percentage All formulas SSC GD mocks SSC CGL mocks
150 important Ratio and Proportion 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.
Score: 0 / 0
Divide ₹90 in the ratio 3:5. The second part is
Answer / solution
Correct option: C
Second = 5/(8)×90 = 56.
If 6:8::10:k, then k is
Answer / solution
Correct option: D
k = 8×10/6 = 13.
If A:B = 5:9 and A = 15, then B is
Answer / solution
Correct option: C
B = 9×3 = 27.
Divide ₹180 in the ratio 6:7. The first part is
Answer / solution
Correct option: C
First = 6/(13)×180 = 83.
Divide ₹210 in the ratio 2:4. The second part is
Answer / solution
Correct option: B
Second = 4/(6)×210 = 140.
If 4:7::10:k, then k is
Answer / solution
Correct option: D
k = 7×10/4 = 17.
If A:B = 4:8 and A = 12, then B is
Answer / solution
Correct option: B
B = 8×3 = 24.
Divide ₹60 in the ratio 5:6. The first part is
Answer / solution
Correct option: B
First = 5/(11)×60 = 27.
Divide ₹90 in the ratio 6:8. The second part is
Answer / solution
Correct option: C
Second = 8/(14)×90 = 51.
If 8:6::10:k, then k is
Answer / solution
Correct option: B
k = 6×10/8 = 7.
If A:B = 3:7 and A = 9, then B is
Answer / solution
Correct option: A
B = 7×3 = 21.
Divide ₹180 in the ratio 4:5. The first part is
Answer / solution
Correct option: C
First = 4/(9)×180 = 80.
Divide ₹210 in the ratio 5:7. The second part is
Answer / solution
Correct option: C
Second = 7/(12)×210 = 122.
If 6:10::10:k, then k is
Answer / solution
Correct option: B
k = 10×10/6 = 16.
If A:B = 2:6 and A = 6, then B is
Answer / solution
Correct option: C
B = 6×3 = 18.
Divide ₹60 in the ratio 3:4. The first part is
Answer / solution
Correct option: B
First = 3/(7)×60 = 25.
Divide ₹90 in the ratio 4:6. The second part is
Answer / solution
Correct option: B
Second = 6/(10)×90 = 54.
If 4:9::10:k, then k is
Answer / solution
Correct option: A
k = 9×10/4 = 22.
If A:B = 6:10 and A = 18, then B is
Answer / solution
Correct option: C
B = 10×3 = 30.
Divide ₹180 in the ratio 2:3. The first part is
Answer / solution
Correct option: B
First = 2/(5)×180 = 72.
Divide ₹210 in the ratio 3:5. The second part is
Answer / solution
Correct option: D
Second = 5/(8)×210 = 131.
If 8:8::10:k, then k is
Answer / solution
Correct option: C
k = 8×10/8 = 10.
If A:B = 5:9 and A = 15, then B is
Answer / solution
Correct option: C
B = 9×3 = 27.
Divide ₹60 in the ratio 6:7. The first part is
Answer / solution
Correct option: D
First = 6/(13)×60 = 27.
Divide ₹90 in the ratio 2:4. The second part is
Answer / solution
Correct option: A
Second = 4/(6)×90 = 60.
If 6:7::10:k, then k is
Answer / solution
Correct option: D
k = 7×10/6 = 11.
If A:B = 4:8 and A = 12, then B is
Answer / solution
Correct option: B
B = 8×3 = 24.
Divide ₹180 in the ratio 5:6. The first part is
Answer / solution
Correct option: A
First = 5/(11)×180 = 81.
Divide ₹210 in the ratio 6:8. The second part is
Answer / solution
Correct option: D
Second = 8/(14)×210 = 120.
If 4:6::10:k, then k is
Answer / solution
Correct option: A
k = 6×10/4 = 15.
If A:B = 3:7 and A = 9, then B is
Answer / solution
Correct option: A
B = 7×3 = 21.
Divide ₹60 in the ratio 4:5. The first part is
Answer / solution
Correct option: D
First = 4/(9)×60 = 26.
Divide ₹90 in the ratio 5:7. The second part is
Answer / solution
Correct option: D
Second = 7/(12)×90 = 52.
If 8:10::10:k, then k is
Answer / solution
Correct option: B
k = 10×10/8 = 12.
If A:B = 2:6 and A = 6, then B is
Answer / solution
Correct option: C
B = 6×3 = 18.
Divide ₹180 in the ratio 3:4. The first part is
Answer / solution
Correct option: A
First = 3/(7)×180 = 77.
Divide ₹210 in the ratio 4:6. The second part is
Answer / solution
Correct option: A
Second = 6/(10)×210 = 126.
If 6:9::10:k, then k is
Answer / solution
Correct option: A
k = 9×10/6 = 15.
If A:B = 6:10 and A = 18, then B is
Answer / solution
Correct option: C
B = 10×3 = 30.
Divide ₹60 in the ratio 2:3. The first part is
Answer / solution
Correct option: A
First = 2/(5)×60 = 24.
Divide ₹90 in the ratio 3:5. The second part is
Answer / solution
Correct option: C
Second = 5/(8)×90 = 56.
If 4:8::10:k, then k is
Answer / solution
Correct option: D
k = 8×10/4 = 20.
If A:B = 5:9 and A = 15, then B is
Answer / solution
Correct option: C
B = 9×3 = 27.
Divide ₹180 in the ratio 6:7. The first part is
Answer / solution
Correct option: C
First = 6/(13)×180 = 83.
Divide ₹210 in the ratio 2:4. The second part is
Answer / solution
Correct option: B
Second = 4/(6)×210 = 140.
If 8:7::10:k, then k is
Answer / solution
Correct option: C
k = 7×10/8 = 8.
If A:B = 4:8 and A = 12, then B is
Answer / solution
Correct option: B
B = 8×3 = 24.
Divide ₹60 in the ratio 5:6. The first part is
Answer / solution
Correct option: B
First = 5/(11)×60 = 27.
Divide ₹90 in the ratio 6:8. The second part is
Answer / solution
Correct option: C
Second = 8/(14)×90 = 51.
If 6:6::10:k, then k is
Answer / solution
Correct option: A
k = 6×10/6 = 10.
If A:B = 3:7 and A = 9, then B is
Answer / solution
Correct option: A
B = 7×3 = 21.
Divide ₹180 in the ratio 4:5. The first part is
Answer / solution
Correct option: C
First = 4/(9)×180 = 80.
Divide ₹210 in the ratio 5:7. The second part is
Answer / solution
Correct option: C
Second = 7/(12)×210 = 122.
If 4:10::10:k, then k is
Answer / solution
Correct option: C
k = 10×10/4 = 25.
If A:B = 2:6 and A = 6, then B is
Answer / solution
Correct option: C
B = 6×3 = 18.
Divide ₹60 in the ratio 3:4. The first part is
Answer / solution
Correct option: B
First = 3/(7)×60 = 25.
Divide ₹90 in the ratio 4:6. The second part is
Answer / solution
Correct option: B
Second = 6/(10)×90 = 54.
If 8:9::10:k, then k is
Answer / solution
Correct option: B
k = 9×10/8 = 11.
If A:B = 6:10 and A = 18, then B is
Answer / solution
Correct option: C
B = 10×3 = 30.
Divide ₹180 in the ratio 2:3. The first part is
Answer / solution
Correct option: B
First = 2/(5)×180 = 72.
Divide ₹210 in the ratio 3:5. The second part is
Answer / solution
Correct option: D
Second = 5/(8)×210 = 131.
If 6:8::10:k, then k is
Answer / solution
Correct option: D
k = 8×10/6 = 13.
If A:B = 5:9 and A = 15, then B is
Answer / solution
Correct option: C
B = 9×3 = 27.
Divide ₹60 in the ratio 6:7. The first part is
Answer / solution
Correct option: D
First = 6/(13)×60 = 27.
Divide ₹90 in the ratio 2:4. The second part is
Answer / solution
Correct option: A
Second = 4/(6)×90 = 60.
If 4:7::10:k, then k is
Answer / solution
Correct option: D
k = 7×10/4 = 17.
If A:B = 4:8 and A = 12, then B is
Answer / solution
Correct option: B
B = 8×3 = 24.
Divide ₹180 in the ratio 5:6. The first part is
Answer / solution
Correct option: A
First = 5/(11)×180 = 81.
Divide ₹210 in the ratio 6:8. The second part is
Answer / solution
Correct option: D
Second = 8/(14)×210 = 120.
If 8:6::10:k, then k is
Answer / solution
Correct option: B
k = 6×10/8 = 7.
If A:B = 3:7 and A = 9, then B is
Answer / solution
Correct option: A
B = 7×3 = 21.
Divide ₹60 in the ratio 4:5. The first part is
Answer / solution
Correct option: D
First = 4/(9)×60 = 26.
Divide ₹90 in the ratio 5:7. The second part is
Answer / solution
Correct option: D
Second = 7/(12)×90 = 52.
If 6:10::10:k, then k is
Answer / solution
Correct option: B
k = 10×10/6 = 16.
If A:B = 2:6 and A = 6, then B is
Answer / solution
Correct option: C
B = 6×3 = 18.
Divide ₹180 in the ratio 3:4. The first part is
Answer / solution
Correct option: A
First = 3/(7)×180 = 77.
Divide ₹210 in the ratio 4:6. The second part is
Answer / solution
Correct option: A
Second = 6/(10)×210 = 126.
If 4:9::10:k, then k is
Answer / solution
Correct option: A
k = 9×10/4 = 22.
If A:B = 6:10 and A = 18, then B is
Answer / solution
Correct option: C
B = 10×3 = 30.
Divide ₹60 in the ratio 2:3. The first part is
Answer / solution
Correct option: A
First = 2/(5)×60 = 24.
Divide ₹90 in the ratio 3:5. The second part is
Answer / solution
Correct option: C
Second = 5/(8)×90 = 56.
If 8:8::10:k, then k is
Answer / solution
Correct option: C
k = 8×10/8 = 10.
If A:B = 5:9 and A = 15, then B is
Answer / solution
Correct option: C
B = 9×3 = 27.
Divide ₹180 in the ratio 6:7. The first part is
Answer / solution
Correct option: C
First = 6/(13)×180 = 83.
Divide ₹210 in the ratio 2:4. The second part is
Answer / solution
Correct option: B
Second = 4/(6)×210 = 140.
If 6:7::10:k, then k is
Answer / solution
Correct option: D
k = 7×10/6 = 11.
If A:B = 4:8 and A = 12, then B is
Answer / solution
Correct option: B
B = 8×3 = 24.
Divide ₹60 in the ratio 5:6. The first part is
Answer / solution
Correct option: B
First = 5/(11)×60 = 27.
Divide ₹90 in the ratio 6:8. The second part is
Answer / solution
Correct option: C
Second = 8/(14)×90 = 51.
If 4:6::10:k, then k is
Answer / solution
Correct option: A
k = 6×10/4 = 15.
If A:B = 3:7 and A = 9, then B is
Answer / solution
Correct option: A
B = 7×3 = 21.
Divide ₹180 in the ratio 4:5. The first part is
Answer / solution
Correct option: C
First = 4/(9)×180 = 80.
Divide ₹210 in the ratio 5:7. The second part is
Answer / solution
Correct option: C
Second = 7/(12)×210 = 122.
If 8:10::10:k, then k is
Answer / solution
Correct option: B
k = 10×10/8 = 12.
If A:B = 2:6 and A = 6, then B is
Answer / solution
Correct option: C
B = 6×3 = 18.
Divide ₹60 in the ratio 3:4. The first part is
Answer / solution
Correct option: B
First = 3/(7)×60 = 25.
Divide ₹90 in the ratio 4:6. The second part is
Answer / solution
Correct option: B
Second = 6/(10)×90 = 54.
If 6:9::10:k, then k is
Answer / solution
Correct option: A
k = 9×10/6 = 15.
If A:B = 6:10 and A = 18, then B is
Answer / solution
Correct option: C
B = 10×3 = 30.
Divide ₹180 in the ratio 2:3. The first part is
Answer / solution
Correct option: B
First = 2/(5)×180 = 72.
Divide ₹210 in the ratio 3:5. The second part is
Answer / solution
Correct option: D
Second = 5/(8)×210 = 131.
If 4:8::10:k, then k is
Answer / solution
Correct option: D
k = 8×10/4 = 20.
If A:B = 5:9 and A = 15, then B is
Answer / solution
Correct option: C
B = 9×3 = 27.
Divide ₹60 in the ratio 6:7. The first part is
Answer / solution
Correct option: D
First = 6/(13)×60 = 27.
Divide ₹90 in the ratio 2:4. The second part is
Answer / solution
Correct option: A
Second = 4/(6)×90 = 60.
If 8:7::10:k, then k is
Answer / solution
Correct option: C
k = 7×10/8 = 8.
If A:B = 4:8 and A = 12, then B is
Answer / solution
Correct option: B
B = 8×3 = 24.
Divide ₹180 in the ratio 5:6. The first part is
Answer / solution
Correct option: A
First = 5/(11)×180 = 81.
Divide ₹210 in the ratio 6:8. The second part is
Answer / solution
Correct option: D
Second = 8/(14)×210 = 120.
If 6:6::10:k, then k is
Answer / solution
Correct option: A
k = 6×10/6 = 10.
If A:B = 3:7 and A = 9, then B is
Answer / solution
Correct option: A
B = 7×3 = 21.
Divide ₹60 in the ratio 4:5. The first part is
Answer / solution
Correct option: D
First = 4/(9)×60 = 26.
Divide ₹90 in the ratio 5:7. The second part is
Answer / solution
Correct option: D
Second = 7/(12)×90 = 52.
If 4:10::10:k, then k is
Answer / solution
Correct option: C
k = 10×10/4 = 25.
If A:B = 2:6 and A = 6, then B is
Answer / solution
Correct option: C
B = 6×3 = 18.
Divide ₹180 in the ratio 3:4. The first part is
Answer / solution
Correct option: A
First = 3/(7)×180 = 77.
Divide ₹210 in the ratio 4:6. The second part is
Answer / solution
Correct option: A
Second = 6/(10)×210 = 126.
If 8:9::10:k, then k is
Answer / solution
Correct option: B
k = 9×10/8 = 11.
If A:B = 6:10 and A = 18, then B is
Answer / solution
Correct option: C
B = 10×3 = 30.
Divide ₹60 in the ratio 2:3. The first part is
Answer / solution
Correct option: A
First = 2/(5)×60 = 24.
Divide ₹90 in the ratio 3:5. The second part is
Answer / solution
Correct option: C
Second = 5/(8)×90 = 56.
If 6:8::10:k, then k is
Answer / solution
Correct option: D
k = 8×10/6 = 13.
If A:B = 5:9 and A = 15, then B is
Answer / solution
Correct option: C
B = 9×3 = 27.
Divide ₹180 in the ratio 6:7. The first part is
Answer / solution
Correct option: C
First = 6/(13)×180 = 83.
Divide ₹210 in the ratio 2:4. The second part is
Answer / solution
Correct option: B
Second = 4/(6)×210 = 140.
If 4:7::10:k, then k is
Answer / solution
Correct option: D
k = 7×10/4 = 17.
If A:B = 4:8 and A = 12, then B is
Answer / solution
Correct option: B
B = 8×3 = 24.
Divide ₹60 in the ratio 5:6. The first part is
Answer / solution
Correct option: B
First = 5/(11)×60 = 27.
Divide ₹90 in the ratio 6:8. The second part is
Answer / solution
Correct option: C
Second = 8/(14)×90 = 51.
If 8:6::10:k, then k is
Answer / solution
Correct option: B
k = 6×10/8 = 7.
If A:B = 3:7 and A = 9, then B is
Answer / solution
Correct option: A
B = 7×3 = 21.
Divide ₹180 in the ratio 4:5. The first part is
Answer / solution
Correct option: C
First = 4/(9)×180 = 80.
Divide ₹210 in the ratio 5:7. The second part is
Answer / solution
Correct option: C
Second = 7/(12)×210 = 122.
If 6:10::10:k, then k is
Answer / solution
Correct option: B
k = 10×10/6 = 16.
If A:B = 2:6 and A = 6, then B is
Answer / solution
Correct option: C
B = 6×3 = 18.
Divide ₹60 in the ratio 3:4. The first part is
Answer / solution
Correct option: B
First = 3/(7)×60 = 25.
Divide ₹90 in the ratio 4:6. The second part is
Answer / solution
Correct option: B
Second = 6/(10)×90 = 54.
If 4:9::10:k, then k is
Answer / solution
Correct option: A
k = 9×10/4 = 22.
If A:B = 6:10 and A = 18, then B is
Answer / solution
Correct option: C
B = 10×3 = 30.
Divide ₹180 in the ratio 2:3. The first part is
Answer / solution
Correct option: B
First = 2/(5)×180 = 72.
Divide ₹210 in the ratio 3:5. The second part is
Answer / solution
Correct option: D
Second = 5/(8)×210 = 131.
If 8:8::10:k, then k is
Answer / solution
Correct option: C
k = 8×10/8 = 10.
If A:B = 5:9 and A = 15, then B is
Answer / solution
Correct option: C
B = 9×3 = 27.
Divide ₹60 in the ratio 6:7. The first part is
Answer / solution
Correct option: D
First = 6/(13)×60 = 27.
Divide ₹90 in the ratio 2:4. The second part is
Answer / solution
Correct option: A
Second = 4/(6)×90 = 60.
If 6:7::10:k, then k is
Answer / solution
Correct option: D
k = 7×10/6 = 11.
If A:B = 4:8 and A = 12, then B is
Answer / solution
Correct option: B
B = 8×3 = 24.
Divide ₹180 in the ratio 5:6. The first part is
Answer / solution
Correct option: A
First = 5/(11)×180 = 81.
Divide ₹210 in the ratio 6:8. The second part is
Answer / solution
Correct option: D
Second = 8/(14)×210 = 120.
FAQs
Are these previous-year SSC questions?
No year or shift is claimed on these pages. Each maths section has 150 original practice MCQs. When a verified source database exists, a question will show exam + year; until then it is practice.
Where are Class 10 board formulas?
The CBSE formula sheet at /cbse/class-10/mathematics/formulas/ stays the canonical board list. This maths hub links to it instead of copying every line.
Do you publish tricks that are only sometimes true?
Every shortcut page states when the trick must not be used. A speed trick that fails on close options is not published as if it were a theorem.
