Question
Sambhu buys rice at Rs. 10/kg and puts a price tag on it
so as to earn a profit of 20%. However, his faulty balance shows 1000 gm when it is actually 800 gm. What is his actual gain percentage?Solution
C.P of 1000 gm = Rs.10 M.P of 1000 gm = Rs.12 S.P of 800 gm = Rs.12 (because he uses 800gm wt instead of 1000 gm) C.P of 800 gm = 10/1000 × 800 = Rs. 8 (because C.P of 1000 gm is Rs. 10) ∴ Profit = 4/8 × 100 = 50% Alternate method: Profit % (a) by faulty balance = (1000-800)/800×100=200/800×100=25% & Profit% (b) by mark up = 20% So overall net % profit = a+b +ab/100 = 25 +20 + (25×20)/100 = 45+5 = 50%
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