Multiple choice

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 M anali.

  1. Rs. $10000$
  2. Rs. $12000$
  3. Rs. $9000$
  4. Rs. $8000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the sum be P. Interest earned by Manali = 0.10P. Interest paid by Manali = 0.05P. Profit = 0.10P - 0.05P = 0.05P = 450. P = 450 / 0.05 = 9000.

AI explanation

Manali's profit is the difference between the interest she receives from Niki and the interest she pays to Sania, calculated using the simple interest formula SI = (P * R * T) / 100. Setting up the equation for a one-year period gives 450 = (P * 10 * 1) / 100 - (P * 5 * 1) / 100, which simplifies to 450 = 0.10P - 0.05P. Solving 450 = 0.05P yields P = 9000, meaning Sania lent Rs 9000 to Manali.

Keep practicing — related questions