Ratio and Proportion: Dividing a Sum of Money Quiz — 5 Free Questions

📖 Read the passage, then answer the questions below

A sum of Rs. 72,000 is to be divided among three cousins, Aarav, Bhumi, and Chetan, in the ratio 4:5:9. Separately, a second, smaller sum of Rs. 36,000 is to be divided among the same three cousins, but this time in the ratio of their ages, which are 12 years, 15 years, and 21 years respectively.

The family wants to compare how each cousin's share changes between the two different sums and the two different rules used to divide them, before deciding whether to use the same ratio for any future sums the family divides among the three cousins.

Question 1

What is the combined total of both sums, Rs. 72,000 and Rs. 36,000?

Question 2

What is Chetan's combined share across both sums?

Question 3

What is Chetan's share of the first sum?

Question 4

What is the value of one part in the second division, using the simplified ratio 4:5:7?

Question 5

What is the simplified ratio of the cousins' ages?

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About Ratio and Proportion: Dividing a Sum of Money

CLAT's Quantitative Techniques section pairs a short data-rich scenario with several straightforward numeric questions -- here, ratio and proportion applied to a single invented family scenario, so every answer can be worked out from the figures given, without any outside knowledge.

This quiz is built around two sums of money divided among the same three cousins, once by a stated ratio and once by their ages, fully worked out up front. Every question below is answered using those same figures -- nothing new is introduced question to question.

The twenty-four questions move through the kind of angles CLAT actually tests: individual shares under each division, combined shares, ratios and differences between cousins, percentages of each sum, and a multi-statement combination question.

Only five of the twenty-four questions are shown on any single attempt, so replaying this quiz brings a genuinely different mix of angles on the same two sums rather than the same five memorised by rote.