| A sum of Rs. 210 was taken as a loan. This is to be paid back in two equal instalments. If the rate of interest is 10% compounded annually, then the value of each instalment is |
A) Rs. 127
B) Rs. 121
C) Rs. 210
D) Rs. 25
Correct Answer: B
Solution :
| Let each instalment = Rs. x |
| Then, according to the question, |
| \[\frac{x}{\left( 1+\frac{10}{100} \right)}+\frac{x}{{{\left( 1+\frac{10}{100} \right)}^{2}}}=210\] |
| \[\Rightarrow \]\[\frac{x}{11}+\frac{x}{{{\left( \frac{11}{10} \right)}^{2}}}=210\]\[\Rightarrow \]\[\frac{10x}{11}+\frac{100x}{121}=210\] |
| \[\Rightarrow \]\[\frac{110x+100x}{121}=210\]\[\Rightarrow \]\[\frac{210x}{121}=210\] |
| \[\Rightarrow \] \[x=\frac{210\times 121}{210}=\text{Rs}\text{. 121}\] |
You need to login to perform this action.
You will be redirected in
3 sec
