A) Rs. 8000
B) Rs. 12000
C) Rs. 6000
D) Rs. 10000
Correct Answer: A
Solution :
[a] Here, P = Rs. 20000, SI = Rs. 800, T = 1 yr New, average rate at which the amount was invested \[=\frac{SI\times 100}{P\times T}=\frac{800\times 100}{20000\times 1}=4%\] Now, using the rule of allegation \[\frac{8}{3}:4\] \[\therefore \] Sum lent at 8% \[=\frac{\frac{8}{3}\times 20000}{\frac{8}{3}+4}=\frac{\frac{8}{3}}{\frac{8+12}{3}}\times 20000\] \[=\frac{8}{3}\times \frac{3}{20}\times 20000=\text{Rs}.\,\,800\] |
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