| Shashi had a sum of money. Two-third of the total money he invested in scheme A for 6 yr and rest of the money he invested in scheme B for 2 yr. Scheme A offers simple interest at a rate of 12% per annum and scheme B offers compound interest (compounded annually) at the rate of 10% per annum. If the total sum obtained from both the schemes is Rs. 2805, what was the total amount invested by him in scheme A and scheme B together? |
| [IBPS (SO) IT 2014] |
A) Rs. 1500
B) Rs. 5100
C) Rs. 1000
D) Rs. 2000
E) Rs. 1464
Correct Answer: B
Solution :
| Let Shashi had sum of Rs. P. |
| Then, |
| \[\frac{2}{3}P\times \frac{12\times 6}{100}+\frac{1}{3}P{{\left( 1+\frac{10}{100} \right)}^{2}}-\frac{1}{3}p=2805\] |
| \[\Rightarrow \] \[\frac{48P}{100}+\frac{1}{3}P\left( \frac{121}{100} \right)-\frac{1}{3}P=2805\] |
| \[\Rightarrow \] \[\frac{48P}{100}+\frac{121P-100P}{300}=2805\] \[\Rightarrow \] \[\frac{144P+21P}{300}=2805\] |
| \[\Rightarrow \] \[\Rightarrow \]\[\Rightarrow \]\[P=\frac{2805\times 300}{165}\] |
| \[\Rightarrow \] \[P=17\times 300\]\[\Rightarrow \]\[P=Rs.\,\,5100\] |
You need to login to perform this action.
You will be redirected in
3 sec
