Question
A shopkeeper marks the price of an item keeping 20% profit. If he offers a discount of 12$1/2$% on the marked price, his gain percent will be
Answer: Option A
Answer: (a)Let the cost price be Rs.100.Marked price = Rs.120SP = 87$1/2$% of 120= $175/200 × 120$ = Rs.105Gain per cent = 5%Using Rule 8,Here, r = 20%, $r_1 = 12{1}/2$%Profit % = ${r × (100 - r_1)}/100 - r_1$= ${20 × (100 - {25/2})}/100 - {25/2}$= ${20 × 175}/200$ - 12.5= 17.5 - 12.5 = 5%
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Answer: (a)Let the cost price be Rs.100.Marked price = Rs.120SP = 87$1/2$% of 120= $175/200 × 120$ = Rs.105Gain per cent = 5%Using Rule 8,Here, r = 20%, $r_1 = 12{1}/2$%Profit % = ${r × (100 - r_1)}/100 - r_1$= ${20 × (100 - {25/2})}/100 - {25/2}$= ${20 × 175}/200$ - 12.5= 17.5 - 12.5 = 5%
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