A) Rs. 700
B) Rs. 800
C) Rs. 900
D) Rs. 1000
Correct Answer: C
Solution :
| Let \[{{A}_{1}}\]= Rs. 1350, \[{{A}_{2}}\]= Rs. 1620 |
| \[{{t}_{1}}\]= 5 yr and \[{{t}_{2}}\] =8 yr |
| Let principal amount be Rs. P. |
| \[\therefore \]In time \[=8-5=3yr\] |
| Simple interest will be |
| \[1620-1350\]= Rs. 270 |
| \[\therefore \] \[r=\frac{({{A}_{2}}-{{A}_{1}})\times 100}{{{A}_{1}}{{t}_{2}}-{{A}_{2}}{{t}_{1}}}\] |
| \[=\frac{(1620-1350)\times 100}{(1350\times 8-1620\times 5)}\] |
| \[=\frac{270\times 100}{10800-8100}=\frac{27000}{2700}\Rightarrow r=10%\] |
| \[\therefore \] \[P=\frac{SI\times 100}{r\times T}=\frac{270\times 100}{10\times 3}\]= Rs. 900 |
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