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 \[=8-5=3\,yr\] Simple interest will be \[1620-1350=Rs.\,270\] \[\therefore \] \[r=\frac{({{A}_{2}}-{{A}_{1}})\times 100}{{{A}_{1}}{{t}_{2}}-{{A}_{2}}{{t}_{1}}}\] \[=\frac{(1620-1350)\times 100}{(1350\times 8-1620\times 5)}\] \[=\frac{270\times 200}{10800-8100}=\frac{27000}{2700}\] \[\Rightarrow \] \[r=10%\] \[\therefore \] \[P=\frac{SI\times 100}{r\times T}=\frac{270\times 100}{10\times 3}=Rs.\,900\]
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