Question
Download Solution PDFA shopkeeper allows a discount of 10% on the printed price of his goods and thus gains 20%. What is the ratio between the cost price and the printed price of the item?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
Discount = 10%
Profit = 20%
Calculation :
By going through ratio method,
Here we have to make the SP same So,
Ratio = 15 : 20 = 3 : 4
∴ The correct answer is 3 : 4.
Alternate MethodCalculation:
Let the Marked price be 100
Discount of 10% on the printed price of his goods,
SP = 100 - (100 × 10%) = Rs. 90 then,
Gains 20% then CP is,
CP = {100/(100 + Profit %)} × SP.
CP = {100/(100 + 20%)} × 90
CP = 100/120 × 90 = Rs. 75
The ratio between CP and MP
⇒ 75 : 100 = 3 : 4
∴ The ratio between the cost price and the printed price is 3 : 4
Last updated on Jul 17, 2025
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