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Manish bought an electronic gadget with a 25% discount on the MRP. He made a profit of ₹600 by selling it for ₹18,600. The marked price of the electronic gadget was:
₹24,200
₹24,000
₹25,600
₹22,000
₹24,000
Calculate Cost Price (CP) first: 18,600 - 600 = 18,000. Since 25% discount means selling at 75% of MRP, equate 0.75 * MRP = 18,000, then divide 18,000 by 0.75 (or multiply by 4/3) to get 24,000.
Selling Price (SP) = ₹18,600, Profit = ₹600, Discount percentage = 25%
SP=CP+Profit, CP=MP×(1−100Discount)
Calculate Cost Price (CP) first: 18,600 - 600 = 18,000. Since 25% discount means selling at 75% of MRP, equate 0.75 * MRP = 18,000, then divide 18,000 by 0.75 (or multiply by 4/3) to get 24,000.
Students often mistakenly subtract the 25% discount from the Selling Price or add the profit to the Marked Price instead of the Cost Price.
Calculate Cost Price
Manish sold the gadget for ₹18,600 and made a profit of ₹600. The Cost Price (CP) is calculated as SP−Profit.
CP=18,600−600=18,000
Define Relationship with MRP
The gadget was bought at a 25% discount on the MRP. This means the CP is 75% of the MRP.
CP=0.75×MRP
Solve for MRP
Substitute the value of CP to find the Marked Price.
18,000=0.75×MRP⟹MRP=0.7518,000=24,000
B is correct because the cost price of the gadget is ₹18,000, and since it was bought at a 25% discount, the marked price is ₹18,000 / 0.75 = ₹24,000.
This concept is fundamentally linked to 'Profit and Loss' chapters in banking and railway exams, where understanding the base value (MRP vs CP) is the key to solving complex multi-step variations.
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