Question : The marked price of an article is INR 28,000. It can be sold in one of the following ways: Way A: A single discount of 24%. Way B: Two successive discounts of 16% and 10%. Which way will have the lowest selling price and what will be the value of it?
Option 1: Way A, INR 21,168
Option 2: Way B, INR 21,280
Option 3: Way A, INR 21,280
Option 4: Way B, INR 21,168
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Correct Answer: Way B, INR 21,168
Solution : Given: The marked price of an article is INR 28,000. Use the formula, $SP=(1-\frac{d_1}{100})\times (1-\frac{d_2}{100})\times MP$ where $SP, d_1, d_2$ and $MP$ are the selling price, the discount percentages, and the marked price. For the Way A, $SP=1–\frac{24}{100}\times 28000$ ⇒ $SP=\frac{100–24}{100}\times 28000$ ⇒ $SP=\frac{76}{100}\times 28000=$ INR 21,280 For the Way B, $SP=(1–\frac{16}{100})\times(1–\frac{10}{100})\times 28000$ ⇒ $SP=\frac{100–16}{100}\times\frac{100–10}{100}\times 28000$ ⇒ $SP=\frac{84}{100}\times \frac{90}{100}\times28000=$ INR 21,168 Way B with a selling price of INR 21,168 is lower than Way A. Hence, the correct answer is Way B, INR 21,168.
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Question : An article is sold for INR 54,120 after two successive discounts of 12 percent and 18 percent. What is the marked price of the article?
Option 1: INR 75,000
Option 2: INR 78,000
Option 3: INR 72,000
Option 4: INR 81,000
Question : A shopkeeper offers the following discount schemes for buyers in an article: i. Two successive discounts of $15 \%$ each ii. A discount of $\mathrm{25 \%}$ followed by a discount of $5 \%$ iii. Two successive discounts of $20 \%$ and $10 \%$ iv. A discount of $30 \%$ Under which scheme will the selling price be maximum?
Option 1: Scheme iv
Option 2: Scheme iii
Option 3: Scheme ii
Option 4: Scheme i
Question : A dealer buys an article listed at INR 3,000 and gets successive discounts of 15% and 15%. He spends INR 250 on transportation and sells it at a profit of 20%. Find the selling price of the article.
Option 1: INR 3,300
Option 2: INR 2,901
Option 3: INR 3,250
Option 4: INR 3,200
Question : A shopkeeper gives two successive discounts of 7% each on the marked price of Rs. 20,000 of an article. The selling price of the article is:
Option 1: Rs. 12,978
Option 2: Rs. 19,278
Option 3: Rs. 18,927
Option 4: Rs. 17,298
Question : The list price (marked price) of an article is Rs. 900 and it's available at two successive discounts of 20% and 10%. The selling price of the article, in rupees, is:
Option 1: 640
Option 2: 648
Option 3: 720
Option 4: 738
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