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Question 8 of 12 · Ratio & Proportion
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NIMCET 2011

Mr. X left his entire estate to his wife, his daughter, his son and the cook. His daughter and son got half the estate, sharing in the ratio of 4 to 3. His wife got twice as much as the son. If the cook received a bequest of Rs. 500, then the entire estate was

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Answer: Option D — Rs. 7000

Detailed Solution

1

Daughter and son share in the ratio : daughter , son .

2

Wife son .

3

Cook , so .

✓ Check

Daughter Rs. 2000, son Rs. 1500, wife Rs. 3000 and cook Rs. 500 add up to Rs. 7000.

⚠ Common trap

Option (A) Rs. 3500 is only the children's half of the estate.

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Ratio & Proportion — Preparation

This question tests your understanding of Ratio & Proportion, a key topic in the Quantitative Aptitude section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.

A ratio compares two quantities of the same kind, and a proportion states that two ratios are equal. This topic covers simplifying and combining ratios, dividing an amount in a given ratio, mean, third and fourth proportionals, and word problems on ages, incomes and expenditures, coins, and mixtures. The ratio method is one of the most useful tools in aptitude. Once quantities are written as multiples of a common factor (such as 3x and 5x), many lengthy problems reduce to a single equation. Ratio thinking also speeds up questions on partnership, time and work, speed and distance, and mixtures and alligation. Practise the ratio and proportion questions below. Each comes with a clear step-by-step solution showing how to set up the ratio and solve it quickly.

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