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A man borrows ₹ 21000 at 10% compound interest. How much he has to pay annually at the end of each year, to settle his loan in two years ?
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- ₹ 12000
- ₹ 12100
- ₹ 12200
- ₹ 12300
Correct Option: B
If each instalment be y, then
| ∴Present worth of first instalment = | = | |||
| [ 1 + ( 11 / 100 ) ] | 11 |
| Present worth of second instalment = | = | |||
| [ 1 + ( 11 / 100 ) ]² | 121 |
| ∴ | y + | y = 21000 | ||
| 11 | 121 |
| ⇒ | = 21000 | |
| 121 |
⇒ 210y = 21000 × 121
| ⇒ y = | = ₹ 12100 | |
| 210 |
Second Method to solve this question :
Here, n = 2 , P = ₹ 21000 , r = 10%
| Each annual instalment = | |||||||
![]() | ![]() | + | ![]() | ![]() | 2 | ||
| 100 + r | 100 + r | ||||||
| Each annual instalment = | |||||||
| + | ![]() | ![]() | 2 | ||||
| 110 | 110 | ||||||
| Each annual instalment = | |||||||
| + | |||||||
| 110 | 12100 | ||||||
| Each annual instalment = | |||||||
| + | |||||||
| 11 | 121 | ||||||
| Each annual instalment = | × 121 | |
| 110 + 100 |
| Each annual instalment = | × 121 = 12100 | |
| 210 |

