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A shopkeeper bought an article for ₹760. At what price (in ₹) should he sell the article to make 30% profit?
976
988
1000
532
988
Multiply the cost price directly by the multiplier 1.30 to quickly find the selling price with a 30% profit.
Cost Price (CP) = ₹760, Target Profit % = 30%
SP=CP×(1+100Profit%)
Multiply the cost price directly by the multiplier 1.30 to quickly find the selling price with a 30% profit.
Calculating 30% of 760 and forgetting to add it back to the original cost price, or subtracting it instead.
Identify Given Values
We are given the cost price of the article as CP=760 and the required profit percentage as Profit%=30%.
CP=760,Profit%=30%
Apply Selling Price Formula
The formula to calculate Selling Price (SP) when Cost Price and Profit percentage are known is given by: SP=CP×(1+100Profit%)
SP=CP×(1+100Profit%)
Substitute Values and Calculate
Substitute CP=760 and Profit%=30 into the formula: SP=760×(1+10030)=760×1.30
SP=760×1.30=988
Verify with Options
Multiplying 760 by 1.30 gives 988. This matches Option B.
SP=988
B is correct because the calculated selling price of the article to make a 30% profit is ₹988.
Understanding percentage multipliers helps solve discount, loss, and successive percentage problems in quantitative aptitude exams efficiently.