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A loan of ₹ 12,300 at 5% per annum compound interest, is to be repaid in two equal annual
instalments at the end of every year. Find the amount of each instalment.
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- ₹ 6,651
- ₹ 6,615
- ₹ 6,516
- ₹ 6,156
Correct Option: B
Given that , Loan = ₹ 12,300 , r = 5% per annum
Let each instalment be y.
| ∴ | + | = 12300 | ||||||||||
![]() | ||||||||||||
| 1 + | ![]() | ![]() | 1 + | ![]() | 2 | |||||||
| 100 | 100 | |||||||||||
| ⇒ | + | ![]() | ![]() | 2 | y = 12300 | ||
| 21 | 21 |
| ⇒ | ![]() | 1 + | ![]() | = 12300 | ||
| 21 | 21 |
| ⇒ | × | × y = 12300 | ||
| 21 | 21 |
| ⇒ y = | = ₹ 6615 | |
| 20 × 41 |


