Question

The simple interest on a certain sum for 14 months at 6 percent per annum is Rs.25 more than the simple interest on the same sum for 8 months at 8 percent. The sum borrowed is -

• A. $Rs.1,500$
• B. $Rs.1,700$
• C. $Rs.2,000$
• D. $Rs.2,500.$

Answer 1

The correct option is A $Rs.1,500$

$25=\frac{P\times 6\times 14}{100\times 12}-\frac{P\times 8\times 8}{100\times 12}$

$⟹25=\frac{84P-64P}{1200}$

$⟹20P=25\times 1200$

$⟹P=\frac{25\times 1200}{20}$

$⟹P=Rs1500$

$\therefore$ Sum borrowed $=Rs1500$