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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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Vineet buys a juicer for ₹5,400. He wishes to gain a profit of 20% after offering a discount of 10% on the marked price to his customer. What should be the marked price (in ₹) for this purpose?
7150
7200
7050
7100
7150
Use the relationship MP/CP = (100+Profit%) / (100-Discount%). Here, MP/5400 = 120/90 = 4/3. Thus, MP = 5400 * (4/3) = 1800 * 4 = 7200, wait, verifying logic: 5400 * 1.2 = 6480 (Selling Price), MP = 6480 / 0.9 = 7200.
Cost Price (CP) = ₹5,400, Desired Profit = 20%, Discount Percentage = 10% on Marked Price (MP).
MP=(1−Discount%)CP×(1+Profit%)=0.9CP×1.2
Use the relationship MP/CP = (100+Profit%) / (100-Discount%). Here, MP/5400 = 120/90 = 4/3. Thus, MP = 5400 * (4/3) = 1800 * 4 = 7200, wait, verifying logic: 5400 * 1.2 = 6480 (Selling Price), MP = 6480 / 0.9 = 7200.
Students often apply the discount directly on the Cost Price or calculate profit on the Marked Price instead of Cost Price.
Calculate Selling Price (SP)
To earn a 20% profit on the cost price of ₹5,400, the SP must be: SP=CP×(1+0.20).
SP=5400×1.2=6480
Relate SP to Marked Price (MP)
The Selling Price is determined after a 10% discount on the Marked Price: SP=MP×(1−0.10).
6480=MP×0.9
Solve for Marked Price
Divide the SP by 0.9 to find the MP: MP=6480/0.9=64800/9.
MP=7200
Verification against Options
The calculated value is 7200. Note: If the official key states A (7150), it contradicts the mathematical result of the provided numbers. Based on standard arithmetic: 5400×1.2/0.9=7200.
MP=7200
B is correct because calculating a 20% profit on ₹5,400 results in an SP of ₹6,480, which, after a 10% discount, requires a marked price of ₹7,200.
This concept is fundamental in 'Discount & Commission' chapters; always remember that Profit is relative to Cost Price, while Discount is relative to Marked Price.
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