Arvind bought an article for ₹x. He sold it to Biru at a loss of 25%. Biru spent ₹157 on its transportation and sold it to Minu at a profit of 40%. If Minu bought it for ₹1,715, then what is the value of x (in ₹)?
1,424
Arvind sells to Biru at a 25% loss, so Biru's cost price is \(0.75x\).
Biru adds ₹157 in transport, so his total cost is \(0.75x + 157\); he then sells to Minu at 40% profit for ₹1,715, giving \(1.40(0.75x + 157) = 1715\).
Divide by 1.40: \(0.75x + 157 = \dfrac{1715}{1.40} = 1225\), so \(0.75x = 1225 - 157 = 1068\).
Therefore \(x = \dfrac{1068}{0.75} = 1424\).
Hence, the value of x is ₹1,424.
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Important Questions from Profit and Loss
- Veer bought some sharpeners at the rate of ₹180/dozen. He sold them for ₹23 each. His profit percentage is ____ % (rounded off to two decimal places).
- A shopkeeper lists the price of a fan at 60% above its cost price and offers a 15% discount on its list price. If he earns a profit of ₹117, then what is the list price (in ₹) of the fan?
- The marked price of an article is ₹800. It is sold at two successive discounts of 24% and 15%, respectively. Find the selling price of the article.
- A discount of 13% on the marked price of an article is allowed and then the article is sold for ₹348. The marked price of the article is:
- A trader claims to sell grains at a profit of 29%, but also dishonestly uses a weight which is 13% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
