A) Rs. 5000
B) Rs. 6500
C) Rs. 7000
D) Rs. 9200
Correct Answer: C
Solution :
[c] \[r=5%,\]\[{{A}_{1}}=\text{Rs}.\,\,3150,\] \[{{A}_{2}}=\text{Rs}.\,4410\] Now, \[{{A}_{1}}={{P}_{1}}{{\left( 1+\frac{r}{100} \right)}^{t}}\] \[\Rightarrow \] \[3150={{P}_{1}}{{\left( 1+\frac{5}{100} \right)}^{1}}\] \[\Rightarrow \] \[3150={{P}_{1}}\times \frac{21}{20}\] \[\Rightarrow \] \[{{P}_{1}}=\frac{3150\times 20}{21}\]\[\Rightarrow \]\[{{P}_{1}}=\text{Rs}.\,\,3000\] Now, \[{{A}_{2}}={{P}_{2}}{{\left( 1+\frac{r}{100} \right)}^{t}}\] \[\Rightarrow \] \[4410={{P}_{2}}{{\left( 1+\frac{5}{10} \right)}^{2}}\] \[\Rightarrow \] \[4410={{P}_{2}}\times {{\left( \frac{21}{20} \right)}^{2}}\] \[\Rightarrow \] \[{{P}_{2}}=\frac{4410\times 400}{441}\]\[\Rightarrow {{P}_{2}}=\text{Rs}\text{.}\,\,4000\] \[\therefore \] Total sum \[={{P}_{1}}+{{P}_{2}}\] \[=3000+4000=\text{Rs}\text{.}\,\,7000\] |
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