Question

Sania lent some money to Manali at $5$% p.a. simple interest. Manali lent the whole amount to Niki on the same day at $10$% p.a. In this transaction, after a year Manali earned a profit of Rs $450$. Find the sum of money lent by Sania to Manali.

• A. Rs. $10000$
• B. Rs. $12000$
• C. Rs. $9000$
• D. Rs. $8000$

Answer 1

The correct option is C Rs. $9000$

Principle$=P$, Time$=1$ year

Rate lent to Manali$=5$%

Rate lent to Niki$=10$%

Interest Manali pays$=\frac{PRT}{100}=\frac{P\times 5\times 1}{100}$ $=\frac{P}{20}$

Interest Manali gets$=\frac{P\times 10\times 1}{100}=\frac{P}{10}$

She makes $450$ profit

$\Rightarrow \frac{P}{10}-\frac{P}{20}=450$

$P=450\times 20=9000$

$\therefore$ Sania lent Rs.$9000$