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Interest Income Ratio Calculation

CAT 2019 Slot 1 · Quantitative Ability · Easy · Ratios and proportions

This is an easy Quantitative Ability question from the CAT 2019 Slot 1 paper. It tests Ratios and proportions. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Amala, Bina, and Gouri invest money in the ratio 3:4:53 : 4 : 5 in fixed deposits having respective annual interest rates in the ratio 6:5:46 : 5 : 4. What is their total interest income (in Rs) after a year, if Bina's interest income exceeds Amala's by Rs 250?

  1. A.

    7000

  2. B.

    6000

  3. C.

    6350

  4. D.

    7250

Answer

D

Explanation

Ratio of interest incomes =(3×6):(4×5):(5×4)=18:20:20=9:10:10= (3 \times 6) : (4 \times 5) : (5 \times 4) = 18 : 20 : 20 = 9 : 10 : 10. Bina's interest - Amala's interest =10x−9x=x=250= 10x - 9x = x = 250. Total interest income =(9+10+10)x=29x=29×250=7250= (9 + 10 + 10)x = 29x = 29 \times 250 = 7250.

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