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The compound interest on a certain sum of money at a certain rate per annum for two years is ₹ 2,050, and the simple interest on the same amount of money at the same rate for 3 years is ₹ 3,000. Then the sum of money is
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- ₹ 20,000
- ₹ 18,000
- ₹ 21,000
- ₹ 25, 000
Correct Option: A
Given in question , S.I. for 3 years = ₹ 3000
| S.I. for 2 years = | × 2 = ₹ 2000 | |
| 3 |
∴ Difference = C.I. – S.I. = 2050 – 2000 = ₹ 50
| S.I. = | |
| 100 |
| ⇒ 3000 = | |
| 100 |
| ⇒ PR = | = ₹ 100000 | |
| 3 |
| ∴ Difference = | |
| 10000 |
| ⇒ 50 = | |
| 10000 × P2 |
| ⇒ P = | = ₹ 20000 | |
| 50 |
