Interview Maths Puzzle Numerical Ability Profit and Loss

A shopkeeper sells one kg of rice to each of his two customers -A and B. For A he charges a price equal to cost price and for B he charges 10% more than the cost price. If he underweighs the quantity given to A by 20% and overweighs the quantity B by 20%, find his overall profit/loss.

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Ans: 8.33%

Let the CP of 1 kg rice=x, then total CP=2x
For A, SP=x/kg, so SP of 1 kg rice to A=(1000/800)*x=5x/4
For B, SP=1.1x/kg, SP of 1 kg rice to B=(1000/1200)*1.1x=5.5x/6
Thus, total SP=5x/4 + 5.5x/8=13x/6
Therefore Overall profit % = [(13x/6 - 2x)/2x]*100 = 25/3% = 8.33%
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10% profit
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