A) 6 yr and 3 months
B) 7 yr and 9 months
C) 8 yr and 3 months
D) 9 yr and 6 months
Correct Answer: B
Solution :
Let initial amount be Rs. P, then \[A=Rs.\,3P\]and \[T=15\,yr\] and 6 months \[=\frac{31}{2}\,yr\] \[\therefore \] \[SI=A-P=Rs.\,2P\] \[\Rightarrow \] \[P\times \frac{31}{2}\times \frac{R}{100}=2P\] \[\Rightarrow \] \[R=\frac{2\times 2\times 100}{31}\] Let amount doubled in \[{{T}_{1}}\,yr\] Now, \[SI=2P-P=Rs.\,P\] \[\Rightarrow \] \[P=\frac{P\times 2\times 2\times 100\times {{T}_{1}}}{100\times 31}\] \[\Rightarrow \] \[{{T}_{1}}=\frac{31}{4}=7\,yr\] and 9 months
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