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A dishonest shopkeeper, at the time of selling and purchasing, weighs 20% less and 24% more per kg respectively. Find the percentage profit earned by treachery. (Assuming he sells at cost price)?
- A42%
- B40%
- C55%
- D33.33%
Answer not set
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CCommunity
Let the price of the goods is Rs. 1000 per 1000 gm
Given that, The shopkeeper weighs 24% more while purchasing the goods
⇒ He buys 1240 gm of goods instead of 1000 gm
⇒ He pays Rs. 1000 instead of Rs. 1240
The shopkeeper also uses 20% less weight while selling the goods
⇒ He uses 800 gm instead of 1000 gm
⇒ CP of the goods = Rs. 800
If the shopkeeper sells the goods at the CP
⇒ Profit = (1240 – 800) = Rs. 440
⇒ Profit % = (440/800) ? 100 = 55%
∴ Profit percentage earned by the treachery is 55%.
Given that, The shopkeeper weighs 24% more while purchasing the goods
⇒ He buys 1240 gm of goods instead of 1000 gm
⇒ He pays Rs. 1000 instead of Rs. 1240
The shopkeeper also uses 20% less weight while selling the goods
⇒ He uses 800 gm instead of 1000 gm
⇒ CP of the goods = Rs. 800
If the shopkeeper sells the goods at the CP
⇒ Profit = (1240 – 800) = Rs. 440
⇒ Profit % = (440/800) ? 100 = 55%
∴ Profit percentage earned by the treachery is 55%.