Question 66
While selling, a shopkeeper uses a weighing machine that shows 20% more than the actual weight and uses a normal machine while buying. He buys 50 gm of dal for Rs. 2 and a customer buys 24 gms for Rs. 1. If he professes to sell 24 gms, what is his profit percentage ?
Solution
He claimed to sell 24gms. But the actual amount he sold will be different.
According to the faulty weighing 24 gms is 120% of actual weight.
The actual weight he sold will be $$\frac{24}{1.2}=20$$
C.P of 20 gm = $$2\cdot\frac{20}{50}=\frac{4}{5}$$
We are told that S.P of 24 gms is Rs. 1.
Profit percent = $$\dfrac{\left(1-\dfrac{4}{5}\right)}{\dfrac{4}{5}}$$ = 25%
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