CAT 2019 Question Paper | Quants Slot 1

CAT Questions

Ratio and Proportion in its various avatars has been present in all CAT previous years paper. Here in CAT 2019, is a very simple ratio proportion question. As part of CAT Preparation, practice a lot of these questions to ensure you can maintain your speed and accuracy under pressure in the exam.

Question 23 : 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?

1. 7000
2. 6000
3. 6350
4. 7250

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Video Explanation

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Explanatory Answer

We know, Interest income Amount invested
And Interest income Interest rate
Therefore, Interest income must be in the ratio of the product of their Amount invested and Interest rate.
So, Ratios of Interest incomes of Amala, Bimala and Gouri = 18: 20: 20
Bina's Interest income exceeds Amala by 250 Rs.
So, 20 x - 18 x = 250
2x = 250
So, Total Interest income = 250 x (9 + 10 + 10) = 7250 Rs.
Total Interest Income = Rs. 7250

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The question is "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? "

Hence, the answer is 7250

Choice D is the correct answer.