# CAT 2019 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Quants Questions | Question 11

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Question 11 : A person invested a total amount of Rs 15 lakh. A part of it was invested in a fixed deposit earning 6% annual interest, and the remaining amount was invested in two other deposits in the ratio 2 : 1, earning annual interest at the rates of 4% and 3%, respectively. If the total annual interest income is Rs 76000 then the amount (in Rs lakh) invested in the fixed deposit was [TITA]

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#### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! Let Rs x be invested in FD.
So, Remaining amount = Rs. 15 Lakhs - x, which is invested in the ratio 2 : 1
So, each investment would have (15-x) and (15-x) investments respectively
So, Total annual interest income = 6% of x + 4% of (15-x) + 3% of (15-x) = 76000
Rewriting Rs. 76000 as Rs. 0.76 Lakhs,
6% of x + 4% of (15-x) + 3% of (15-x) = 0.76
Multiply both sides by 100,
6x + (15-x) + 2(15-x) = 76
6x + (15-x) = 76
165 + 18x -11x = 228
7x = 63
x = 9 (or) Rs. 9 Lakhs

The question is "A person invested a total amount of Rs 15 lakh. A part of it was invested in a fixed deposit earning 6% annual interest, and the remaining amount was invested in two other deposits in the ratio 2 : 1, earning annual interest at the rates of 4% and 3%, respectively. If the total annual interest income is Rs 76000 then the amount (in Rs lakh) invested in the fixed deposit was [TITA] "

##### Hence, the answer is 9

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