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Marked price of an article is Rs. 7500. It is purchased at a discount of 12%. If Rs. 250 are spent on its repairs, then to gain 20% profit what should be the selling price (in Rs.)?
- A7940
- B7760
- C8220
- D8480
Answer not set
Discussion 1
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CCommunity
Marked price = M.P = Rs. 7500
After discount of 12%
Purchase price = (1 - 0.12) × 7500 = Rs. 6600
After spending Rs. 250 on repair
Cost price = C.P = Rs. (6600 + 250) = Rs. 6850
To gain a profit of 20%
∴ Selling price = (1 + 0.20) × C.P = 1.2 × 6850 = Rs. 8220
Shortcut method:
Selling price = (1 + profit percent/100) × {(1 - discount percent/100) × marked price + repair cost}
∴ Selling price = 1.2 × {(1 - 0.12) × 7500 + 250} = Rs. 8220
After discount of 12%
Purchase price = (1 - 0.12) × 7500 = Rs. 6600
After spending Rs. 250 on repair
Cost price = C.P = Rs. (6600 + 250) = Rs. 6850
To gain a profit of 20%
∴ Selling price = (1 + 0.20) × C.P = 1.2 × 6850 = Rs. 8220
Shortcut method:
Selling price = (1 + profit percent/100) × {(1 - discount percent/100) × marked price + repair cost}
∴ Selling price = 1.2 × {(1 - 0.12) × 7500 + 250} = Rs. 8220