Amala, Bina, and Gouri invest money in the ratio 3 : 4 : 5 in fixed deposits having respective annual interest rates in the ratio 6 : 5 : 4. What is their total interest income (in Rs) after a year, if Bina’s interest income exceeds Amala’s by Rs 250?
CAT / SNAP QUANT QUESTION
Amala, Bina, and Gouri invest money in the ratio 3 : 4 : 5 in fixed deposits having respective annual interest rates in the ratio 6 : 5 : 4. What is their total interest income (in Rs) after a year, if Bina’s interest income exceeds Amala’s by Rs 250?
6350
7250
7000
6000
Answer and Explanation
Ratio of their incomes = 3:4:5
Ratio of their interests = 6:5:4
Therefore, the ratio of their interest income = (3×6):(4×5):(5×4)=18:20:20(3×6):(4×5):(5×4)=18:20:20
Let the interest incomes of Amala, Bina, and Gouri be 18x, 20x, and 20x respectively.
Given,
Bina’s interest income exceeds Amala’s by Rs 250
Therefore, 20x-18x=2x=250
Or x = 125.
Total interest incomes = 18x+20x+20x=58x = 58×125 =7250
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