Question
A dealer grants a 35% discount on the marked price of a
furniture item. After giving the discount, he gains a profit of 30%. If his profit is Rs. 900, what is the marked price (in Rs.) of the furniture item?Solution
ATQ,
Let the cost price of the furniture be Rs. '100x'
ATQ:
'100x' × 0.3 = 900
Or, 30x = 900
Or, x = (900/30) = 30
So, the cost price of the furniture = 100x = 100 × 30 = Rs. 3,000
So, the selling price of the furniture = 3,000 + 900 = Rs. 3,900
Required marked price of the furniture = 3900 ÷ 0.65 = Rs. 6,000
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