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A shopkeeper marks his goods at 20% more and offers discount of 10%. He cheats to the extent of 10% while buying as well as selling by using false weight. What is overall profit percent?
- A32%
- B33.33%
- C25%
- DNone of these
Answer not set
Discussion 1
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CCommunity
Let the price of the goods = Rs. 1 per 1 gm
He bought 1100 gm instead of 1000 gm.
⇒ He pays Rs. 1000 instead of Rs. 1100
At the time of selling,
He weighs 10% less wight
⇒ He weighs 900 gm instead of 1000 gm
⇒ He gets Rs. 1000 instead of Rs. 900
He marks 20% above the cost price i.e Rs. 1100
⇒ MP = 120 % of CP = 120% of 1100 = Rs. 1320
He gives a discount of 10% on MP
⇒ SP = 90% of MP = 0.90 × 1320 = Rs. 1188
But, he actually uses 900 gm of weight
⇒ He gets Rs. 1188 instead of Rs. 900
Profit = (1188 – 900) = Rs. 288
Profit % = (288/900) × 100 = 32%
∴ Overall profit of the shopkeeper is 32%
He bought 1100 gm instead of 1000 gm.
⇒ He pays Rs. 1000 instead of Rs. 1100
At the time of selling,
He weighs 10% less wight
⇒ He weighs 900 gm instead of 1000 gm
⇒ He gets Rs. 1000 instead of Rs. 900
He marks 20% above the cost price i.e Rs. 1100
⇒ MP = 120 % of CP = 120% of 1100 = Rs. 1320
He gives a discount of 10% on MP
⇒ SP = 90% of MP = 0.90 × 1320 = Rs. 1188
But, he actually uses 900 gm of weight
⇒ He gets Rs. 1188 instead of Rs. 900
Profit = (1188 – 900) = Rs. 288
Profit % = (288/900) × 100 = 32%
∴ Overall profit of the shopkeeper is 32%