Suyash bought an almirah for a certain sum of money. He spent 10% of the cost…
2025
Suyash bought an almirah for a certain sum of money. He spent 10% of the cost price on its repairs and sold it, earning a profit of ₹1100, which amounted to a profit of 25%. What amount did he spend on the repairs?
- A.
₹ 440
- B.
₹ 380
- C.
₹ 500
- D.
₹ 400
Attempted by 4 students.
Show answer & explanation
Correct answer: D
When an additional cost such as repairs is incurred before resale, the profit and profit percentage are always calculated on the TOTAL cost incurred, i.e., Total Cost = Purchase Price + Repair Cost, and Profit % = (Profit ÷ Total Cost) × 100.
Let the purchase price of the almirah be ₹C.
Repair expense = 10% of C = 0.1C, so the total cost incurred = C + 0.1C = 1.1C.
The profit of ₹1100 represents a profit of 25% on this total cost, so 25% of 1.1C = 1100.
0.275C = 1100, so C = 1100 ÷ 0.275 = ₹4000.
Repair expense = 10% of ₹4000 = ₹400.
Check: total cost = 1.1 × 4000 = ₹4400; selling price = 4400 + 1100 = ₹5500; profit % = (1100 ÷ 4400) × 100 = 25%, which matches the given condition. So, the amount spent on repairs is ₹400.