Question

Simple interest on a certain sum of money for $3$ years at $8$% per annum is half the compound interest on $Rs.4000$ for $2$ years at $10$% per annum. The sum placed on simple interest is:

• A. $Rs.1550$
• B. $Rs.1650$
• C. $Rs.1750$
• D. $Rs.2000$

Answer 1

The correct option is C $Rs.1750$

$C.I.=Rs.[4000\times {(1+\frac{10}{100})}^2-4000]$
$=Rs.(4000\times \frac{11}{10}\times \frac{11}{10}-4000)$
$=Rs.840$.
$\therefore Sum=Rs.\left(\frac{420\times 100}{3\times 8}\right)=Rs.1750$.