Ramesh bought two identical washing machines. He sold one at a profit of 20% and the other at a loss of 10%. If the total selling price of both machines was ₹33,600, what was the cost price of each washing machine?
₹16,000
Let the cost price of each washing machine be ₹x. Then the total cost price for the two identical machines is 2x.
Selling price of the first machine at a 20% profit = x × (1 + 20/100) = 1.2x.
Selling price of the second machine at a 10% loss = x × (1 − 10/100) = 0.9x.
Total selling price = 1.2x + 0.9x = 2.1x.
Given 2.1x = 33,600, so x = 33,600 / 2.1 = 16,000.
Hence, the correct answer is ₹16,000.
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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.)
