Question
Rohan bought a gadget and sold it to Aman at a profit of
30%. If he had purchased it for Rs. 1,500 less and sold it for Rs. 750 more, his profit would have been 45%. If the gadget is marked Rs. 3,500 above its actual cost and sold after a discount of 10%, what is the profit made?Solution
ATQ,
Let the original cost price of gadget be Rs. 100m.
We have, 1.30 × 100m = Rs. 130m
ATQ:
(130m + 750) = 1.45 × (100m - 1,500)
→ 130m + 750 = 145m - 2,175
→ 15m = 2,925
→ m = 195
Original cost price = 195 × 100 = Rs. 19,500
Marked price = 19,500 + 3,500 = Rs. 23,000
Selling price after 10% discount = 0.90 × 23,000 = Rs. 20,700
Profit = 20,700 - 19,500 = Rs. 1,200
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