Practice Questions
Concept Explanation
To divide amount M in ratio a : b : c, total parts = a + b + c.
Share of first part = M × a/(a+b+c).
Difference between shares = (difference in parts)/(total parts) × M.
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Q1 EasyDivide Rs. 900 in the ratio 2 : 3. What is the larger share?ExplanationLarger share = 900 × 3/5 = Rs. 540.
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Q2 EasyDivide Rs. 560 between A and B in the ratio 5 : 3. How much does A get?ExplanationA gets 560 × 5/8 = Rs. 350.
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Q3 EasyThree partners share Rs. 1,800 in the ratio 2 : 3 : 4. What is the largest share?ExplanationLargest = 1800 × 4/9 = Rs. 800.
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Q4 MediumRs. 1200 is divided among A, B and C such that A gets as much as B and C together, and B gets as much as C. What is A's share?ExplanationB = C and A = B + C = 2B. Total = A+B+C = 4B = 1200 → B = 300. A = Rs. 600.
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Q5 MediumA sum of money is divided among A, B, C and D in the ratio 3 : 4 : 5 : 6. If C gets Rs. 800 more than A, what is D's share?ExplanationC − A = 2 parts = Rs. 800 → 1 part = 400. D gets 6 parts = Rs. 2400.
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Q6 MediumRs. 1,200 is divided in the ratio 3 : 4 : 5. What is the smallest share?ExplanationSmallest = 1200 × 3/12 = Rs. 300.
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Q7 MediumRs. 2,400 is split in the ratio 1 : 2 : 3. What is the middle share?ExplanationMiddle share = 2400 × 2/6 = Rs. 800.
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Q8 MediumWhen Rs. 770 is divided in the ratio 4 : 7, what is the difference between the shares?ExplanationDifference = 770 × 3/11 = Rs. 210.
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Q9 MediumRs. 1,020 is split in the ratio 5 : 12. What is the smaller share?ExplanationSmaller share = 1020 × 5/17 = Rs. 300.
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Q10 HardA sum of Rs. 312 was divided among 100 boys and girls in such a way that each boy gets Rs. 3.60 and each girl Rs. 2.40. The number of girls is:ExplanationLet girls = g and boys = 100 − g. Then 3.60(100 − g) + 2.40g = 312 → 360 − 1.2g = 312 → g = 40.
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Q11 HardA and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?Explanation(4/15)A = (2/5)B → A/B = (2/5)×(15/4) = 3/2. A:B = 3:2. B = 1210 × 2/5 = Rs. 484.
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Q12 HardAn amount of Rs. 735 was divided between A, B and C. If each of them had received Rs. 25 less, their shares would have been in the ratio 1 : 3 : 2. The money received by C was:ExplanationAfter reducing Rs. 25 each, remaining = 735 − 75 = 660. C's reduced share = 660 × 2/6 = 220. Actual amount received by C = 220 + 25 = Rs. 245.
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Q13 HardDivide Rs. 1870 into three parts so that half of the first part, one-third of the second part and one-sixth of the third part are equal. What is the third part?ExplanationLet each equal part be k. Then first = 2k, second = 3k, third = 6k. Sum = 11k = 1870 → k = 170. Third = 6k = Rs. 1020.
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Q14 HardRs. 900 is divided in the ratio 2 : 3 : 4. What is the difference between the largest and the smallest share?ExplanationDifference = 900 × (4 − 2)/9 = Rs. 200.
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DS1 Easy
In a campus finance drill, what is the larger share when an amount is divided?
Statement IRs. 800 is divided in the ratio 3 : 5.
Statement IIThe difference between the two shares is Rs. 200.
ExplanationEach alone gives larger share = Rs. 500. -
DS2 Medium
What is the total amount that was divided?
Statement ITwo shares are in the ratio 4 : 7.
Statement IIThe larger share is Rs. 420.
ExplanationTogether: 7/11 × M = 420 → M = Rs. 660. Both statements are needed.
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DS3 Medium
What is the first share of the amount?
Statement IThe total amount is Rs. 1,500.
Statement IIThe amount is divided in the ratio 2 : 3 : 5.
ExplanationTogether: first share = 1500 × 2/10 = Rs. 300. -
DS4 Hard
What is the difference between the two shares?
Statement IAn amount of Rs. 660 is divided in the ratio 5 : 6.
Statement IIThe smaller share is Rs. 300.
ExplanationEach statement alone gives difference = Rs. 60.