A) Rs. 32800
B) Rs. 32400
C) Rs. 32200
D) Rs. 32000
Correct Answer: A
Solution :
| [a] Let the sum borrowed was Rs. x. Then, according to the question, \[17640={{P}_{1}}{{\left( 1+\frac{5}{100} \right)}^{1}}\] (\[\therefore \]Each instalment = Rs. 17640) \[\Rightarrow \] \[17640={{P}_{1}}\left( \frac{21}{20} \right)\] \[\therefore \] \[{{P}_{1}}=\frac{17640\times 20}{21}=\text{Rs}\text{.}\,\,16800\] and\[17640={{P}_{2}}{{\left( 1+\frac{5}{100} \right)}^{2}}\]\[\Rightarrow \]\[17640={{P}_{2}}\left( \frac{441}{400} \right)\] \[\therefore \] \[{{P}_{2}}=\frac{17640\times 400}{441}=\text{Rs}\text{.}\,\,16000\] \[\therefore \] Required amount \[=16800+16000=\text{Rs}.\,\,32800\] |
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