Question
Suji marked a dress 50% above the cost price. If she offers a discount of 30% on the marked price and the customer pays ₹5,250, the cost price is:
The correct answer is
₹5,000
Let cost price be x.
Marked Price = x + 50% of x = 1.5x
Selling Price = 1.5x - 30% of 1.5x = 1.5x × (1 - 0.3) = 1.5x × 0.7 = 1.05x
1.05x = 5250 → x = 5250 ÷ 1.05 = ₹5,000
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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.)
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