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Ram deposited a certain sum of money in a company at 12% per annum simple interest for 4 years and deposited equal amount in fixed deposit in a bank for 5 years at 15% per annum simple interest. If the difference in the interest from two sources is ₹1350, then the sum deposited in each case is :
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- ₹3000
- ₹4000
- ₹5000
- ₹6500
- ₹3000
Correct Option: C
Let amount invested in each company be Rs. p.
SI = | |
100 |
According to the question,
- | = 1350 | ||
100 | 100 |
⇒ | - | = 1350 | ||
100 | 100 |
⇒ 27p /100 = 1350
⇒ p = | = 5000 | |
27 |
Second method to solve this question :
Here, P1 = Rs. P, R1 = 12%, T1 = 4 years , P2 = Rs. P, R2 = 15%, T2 = 5 years , S.I. = Rs. 1350
SI = | |
100 |
1350 = | |
100 |
135000 = 75 P – 48P
135000 = 75 P
⇒ P = Rs. 5000