Question
A shopkeeper gives a 25% discount on the marked price of an
item. In this transaction, he earns a profit of 50%. If the profit earned by the shopkeeper is Rs. 1,500, then what is the marked price (in Rs.) of the item?Solution
ATQ,
Let the cost price of the item be Rs. '100x'
ATQ:
'100x' Ă— 0.5 = 1,500
Or, 50x = 1,500
Or, x = (1500/50) = 30
So, the cost price of the item = 100x = 100 Ă— 30 = Rs. 3,000
So, the selling price of the item = 3,000 + 1,500 = Rs. 4,500
Required marked price of the item = 4500 Ă· 0.75 = Rs. 6,000
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