A man purchased an old typewriter at Rs.19200, and spent some amount on its…
2023
A man purchased an old typewriter at Rs.19200, and spent some amount on its repair. He sold it for Rs.24150 and earned a profit of 15%. Find the amount he spends on the repair of the old typewriter.
- A.
Rs.1200
- B.
Rs.1800
- C.
Rs.2100
- D.
Rs.4567
Attempted by 7 students.
Show answer & explanation
Correct answer: B
Solution: Let the repair cost be x.
Total cost price = 19200 + x.
Given a 15% profit, selling price = total cost × 115/100. So (19200 + x) × 115/100 = 24150.
Solve for total cost: 19200 + x = 24150 × 100/115 = 21000.
Therefore x = 21000 − 19200 = 1800.
Check: Profit = 24150 − 21000 = 3150, and (3150/21000) × 100 = 15%, which matches the given profit percentage.
Answer: Rs.1800