CAT level question in Profit and Loss – 01

Question: A merchant claims to make a profit of 12.5% on his sales but actually makes 25% by using false weights. When he professes to sell 1 kg, how much does he actually sell?
(a) 875 gms
(b) 833.33 gms
(c) 900 gms
(d) 850 gms

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2. Jash Thacker 3 years ago

What is the shortcut method to solve these kind of sum?

3. Onkar Sawant Bhosle 3 years ago

The way I thought of it was, since he professes to sell 1000gm and claims a profit of 12.5, means he has earned 1125gm worth.
But since he actually is making 25% profit,

X * (5/4)=1125
X = 900.

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