a sum of rs 10 is lent to be returned in..., Simple Interest, General Mathematics

Question:A Sum of Rs. `10` is lent to be returned in `11` monthly instalments of  Rs. `1` each interest begin simple. The rate of interest is :

A `9 1/11%` 
B `10%` 
C `11%` 
D `21 9/11%`

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+ AnswerD

+ ExplanationRs. `10` + S.I.on Rs. `10`for `11` months

`= Rs. 11` + S.I. on Re 1. for `110` months

`= Rs. 11` + S.I. on Re. `11` + S.I. on Re` 1`for `55` months

S.I. on Re `1` for `55` months = Re `1`.

:. Rate`= ((100 xx 12)/(1 xx 55))%`

`= 21 9/11%`

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