Calculating Selling Price with Successive Discounts
The problem asks to find the final selling price (SP) of an article after applying two successive discounts on its marked price (MP).
Identify Given Values:
- Marked Price (MP) = ₹720
- First Discount (d1) = 10%
- Second Discount (d2) = 15%
Step 1: Calculate Price After First Discount
The first discount of 10% is applied to the marked price.
Amount of first discount = $10\%$ of ₹720
Amount of first discount = $\frac{10}{100} \times 720 = ₹72$
Price after first discount = MP - Amount of first discount
Price after first discount = $₹720 - ₹72 = ₹648$
Step 2: Calculate Selling Price After Second Discount
The second discount of 15% is applied to the price obtained after the first discount (₹648).
Amount of second discount = $15\%$ of ₹648
Amount of second discount = $\frac{15}{100} \times 648 = 0.15 \times 648 = ₹97.20$
Selling Price (SP) = Price after first discount - Amount of second discount
SP = $₹648 - ₹97.20 = ₹550.80$
Alternative Method: Using Discount Formula
The selling price after successive discounts can be calculated directly using the formula:
SP = MP $\times (1 - \frac{d1}{100}) \times (1 - \frac{d2}{100})$
SP = $720 \times (1 - \frac{10}{100}) \times (1 - \frac{15}{100})$
SP = $720 \times (1 - 0.10) \times (1 - 0.15)$
SP = $720 \times (0.90) \times (0.85)$
SP = $720 \times 0.765$
SP = $₹550.80$
Final Answer
The selling price of the article after applying the successive discounts is ₹550.80.
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Important Questions from Discount and MP
The marked price of an article is Rs. 1500. A shopkeeper sells it by giving 20% discount on its marked price. If the cost price of the article is Rs. 991, then his profit (in Rs.) is:
Surbhi sold an article for Rs. 176 after giving 12% discount on its marked price. Had she not given any discount; she would have earned a profit of 25%. What is the cost price (in Rs.) of the article?
The marked price of an article is Rs. 240. A shopkeeper sells it by allowing 18% discount on its marked price and still gains 23%. What is the cost price (in Rs.) of the article?
Three shopkeepers A, B and C marked on an identical article at Rs. 4820. A, B and C sold their article on successive discounts of 20% and 20%; 25% and 15%; 30% and 10% respectively. Which shopkeeper gives the maximum discount and how much (in Rs.)?
Find a single discount percentage equivalent to successive discounts of 10%, 20% and 25%.
