Question
A vendor offers a 15% discount on the marked price of a
gadget. Even after the discount, he makes a profit of 45%. If the profit amounts to Rs. 1,350, what is the marked price (in Rs.) of the gadget?Solution
ATQ,
Let the cost price of the gadget be Rs. '100x'
ATQ:
'100x' Ă— 0.45 = 1,350
Or, 45x = 1,350
Or, x = (1350/45) = 30
So, the cost price of the gadget = 100x = 100 Ă— 30 = Rs. 3,000
So, the selling price of the gadget = 3,000 + 1,350 = Rs. 4,350
Required marked price of the gadget = 4350 Ă· 0.85 = Rs. 5,117.65
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