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The cost price of a toy is ₹210. What should be its marked price so that, after a discount of 5%, the shopkeeper gains 90%?
₹480
₹450
₹420
₹400
₹420
Calculate Selling Price (SP) from CP and gain first, then use SP = (100 - Discount)% of Marked Price (MP) to find MP directly without finding intermediate selling price step-by-step.
Cost price of the toy = ₹210, Discount = 5%, Gain = 90%
SP=100100+Gain%×CP
Calculate Selling Price (SP) from CP and gain first, then use SP = (100 - Discount)% of Marked Price (MP) to find MP directly without finding intermediate selling price step-by-step.
Confusing marked price with selling price or applying the 5% discount on the cost price instead of the marked price.
Calculate the Selling Price (SP)
Given the Cost Price (CP=₹210) and the required gain percentage (90%), we calculate the Selling Price (SP) using the formula: SP=100100+Gain%×CP
SP=100100+90×210=100190×210=399
Relate Marked Price (MP) with Selling Price (SP)
A discount of 5% is offered on the Marked Price (MP) to arrive at the Selling Price (SP). The relation is given by: SP=100100−Discount%×MP
399=100100−5×MP
Solve for Marked Price (MP)
Rearranging the equation to solve for MP: MP=95399×100
MP=9539900=420
C is correct because the calculated marked price of the toy is ₹420.
Problems involving successive percentage changes or profit, discount, and markup relationships can always be solved rapidly by equating the two expressions for the Selling Price (SP).