GATE 2022 MN – Question 2

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively.

If R gets ₹ 1000 more than S, what is the share of Q (in ₹)?

500
1000
1500
2000

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Show answer and explanation

Correct answer: (D) 2000

Explanation

Let the common monetary value of one ratio part be k. R receives 4k and S receives 3k, so their difference is k=₹1000. Q receives 2k=₹2000. Thus option D. The full distribution is P₹5000, Q₹2000, R₹4000 and S₹3000, which satisfies both the ratio and the given ₹1000 difference.

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