Question

What sum will amount to Rs. $65934$ in $2$ years C.I., if the rates are $10$ per cent and $11$ per cent for the successive years?

• A. $54000$
• B. $55000$
• C. $56000$
• D. $57000$

Answer 1

The correct option is A $54000$

$\Rightarrow$ Here, $A=Rs.65934,R_1=10\%,R_2=11\%$

$\Rightarrow$ $A=P(1+\frac{R_1}{100}{)}^T\times (1+\frac{R_2}{100}{)}^T$

$\Rightarrow$ $65934=P\times (1+\frac{10}{100}{)}^1\times (1+\frac{11}{100}{)}^1$

$\Rightarrow$ $65934=P\times \frac{11}{10}\times \frac{111}{100}$

$\Rightarrow$ $65934=P\times \frac{1221}{1000}$

$\Rightarrow$ $P=54\times 1000$

$\therefore$ $P=Rs.54000.$