A) Rs 1353
B) Rs 1240
C) Rs 1200
D) Rs 1323
Correct Answer: D
Solution :
Suppose the amounts deposited in the name of A and B be Rs x and Rs (2523 - x) then'\[x{{\left( 1+\frac{5}{100} \right)}^{3}}=(2523-x){{\left( 1+\frac{5}{100} \right)}^{5}}\] or \[x\times {{\left( \frac{21}{20} \right)}^{3}}=(2523-x){{\left( \frac{21}{20} \right)}^{5}}\] or \[\frac{x}{2523-x}={{\left( \frac{21}{20} \right)}^{5-3}}={{\left( \frac{21}{20} \right)}^{2}}=\frac{441}{400}\] or \[400x=441\times 2523-441x\] or \[841x=441\times 2523\] \[\therefore \,\,\,\,\,\,x=\frac{441\times 2523}{841}=\]
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