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
Correct Answer: Option: 2
Ratio of their incomes = 3:4:5
Ratio of their interests = 6:5:4
Therefore, the ratio of their interest income = $\left( 3\times 6 \right):\left( 4\times 5 \right):\left( 5\times 4 \right)=18:20:20$
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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