1. A shopkeeper offers a discount of 10% on his articles. The marked price of the article is Rs. 450. The selling price should be?

A. 405 B. 400 C. 395 D. 410

Answer: Option A
Explanation: Selling Price = [latex]\frac{100 − 10}{100}[/latex] × 450 = [latex]\frac{90}{100}[/latex] × 450 = Rs. 405
2. How much percent more than the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gains 20%?

A. 60% B. 55% C. 70% D. 50%

Answer: Option A
Explanation: Let cost price of goods be Rs 100. Gain = 20% Therefore, selling price = Rs 120 Discount = 25% Marked Price = ([latex]\frac{100}{100−25}[/latex]) × 120 = Rs. 160 i.e.60% more
3. A dishonest dealer professes to sell his goods at the cost price but uses a false weight of 850 g instead of 1 kg. His gain percent is

A. 71 [latex]\frac{11}{17}[/latex]% B. 11 [latex]\frac{11}{17}[/latex]% C. 17 [latex]\frac{12}{17}[/latex]% D. 17 [latex]\frac{11}{17}[/latex]%

Answer: Option D
Explanation: If a trader professes to sell his goods at cost price, but uses false weights, then Gain% = [[latex]\frac{Error}{True value - Error}[/latex] × 100]% In the given question, Error = 1000 - 850 = 150 Thus, Gain%=[[latex]\frac{150}{1000 - 150}[/latex] × 100]% = 17 [latex]\frac{11}{17}[/latex]%
4. A retailer purchased radiosets at the rate of Rs. 400 each from a wholesaler. He raised the price by 30% and then allowed a discount of 8% on each set. His profit will be:

A. 19% B. 78.4% C. 22% D. 19.6%

Answer: Option D
Explanation: Cost price = Rs. 400 Marked Price = [latex]\frac{100 + 30}{100}[/latex] × 400 = [latex]\frac{130}{100}[/latex] × 400 = Rs. 520 Selling Price = 100 − 8100 × 520 = 92100 × 520 = Rs.478.40 Profit percent = [latex]\frac{478.40 - 400}{400}[/latex] × 100 = 19.6%
5. An article is sold at 10% loss. If the selling price is Rs. 40 more, there will be a gain of 15%. The cost price of the article is:

A. 140 B. 120 C. 175 D. 160

Answer: Option D
Explanation: Let the cost price be Rs. x. Selling Price at 10% loss = [latex]\frac{90x}{100}[/latex] Selling Price at 15% gain =[latex]\frac{115x}{100}[/latex] Thus, according to the problem, [latex]\frac{115x}{100}[/latex] − [latex]\frac{90x}{100}[/latex] = 40 x = Rs.160.

1. The marked price of a table is Rs. 800. A retailer bought it after two successive discounts of 10% and 15%. He spent Rs. 13 on transportation and sold it for Rs. 875. His profit was:

A. 40% B. 37% C. 28% D. 25%

Answer: Option A
Explanation: Marked price = Rs. 800. Price after discounts of 10% and 15% = 800 × [latex]\frac{100 - 10}{100}[/latex] × [latex]\frac{100 - 15}{100}[/latex] = 612 Profit percent = [latex]\frac{875 − 625}{625}[/latex] × 100 Total Cost price = 612 + 13 = Rs. 625 = 40%
2. A person sells 320 mangoes at the cost price of 400 mangoes. What is his profit percent?

A. 10% B. 15% C. 20% D. 25%

Answer: Option D
Explanation: Let cost price of 400 mangoes = Rs. 400 Thus, selling price of 320 mangoes = Rs. 400 Cost price of 320 mangoes = Rs. 320 Profit percent = [latex]\frac{400 − 320}{320}[/latex] × 100 = 25%
3. By selling 33 metres of cloth, a person gains the cost of 11 metres. Find his gain%:

A. 33 13% B. 33 12% C. 33% D. 34 13%

Answer: Option A
Explanation: Let cost per metre be Rs. x Cost price of 33 m of cloth = 33x Gain = 11x Profit percent = [latex]\frac{11x}{33x}[/latex] × 100 = [latex]\frac{100}{3}[/latex] = 33 [latex]\frac{1}{3}[/latex]%
4. Marked price of an article is Rs 240 and cost price of article is marked up by 20%. If the profit percent is 10% then what is the discount offered ?

A. 10 B. 20 C. 30 D. 40

Answer: Option B
Explanation: MP=240 1.2 × CP = 240 CP = 200 SP = MP - d SP = 240 - d [latex]\frac{240 − d − 200}{200}[/latex] = 10 40 - d = 20 d = 20
5. If a selling price of Rs. 24 results in 20% discount on the list price of an article, the selling price that would result in 30% discount on the list price is:

A. 17 B. 23 C. 18 D. 21

Answer: Option D
Explanation: Selling price = Rs. 24 Thus, list price = [latex]\frac{100}{100 − 20}[/latex] × 24 = Rs. 30 For 30% discount, Selling price = [latex]\frac{100 − 30}{100}[/latex] × 30 = Rs. 21

1. If the cost price of 15 books is equal to the selling price of 20 books, the loss percent is:

A. 16 B. 20 C. 24 D. 25

Answer: Option D
Explanation: Let the cost price of each book be Rs 1. Selling price of 20 books = Rs 15 Cost price of 20 books = Rs 20 ∴ Loss per cent = [latex]\frac{Cost price - Selling price}{Cost price}[/latex] x 100 = [latex]\frac{20 − 15}{20}[/latex] × 100 = 25%
2. Successive discounts of 10%, 20% and 30% is equivalent to a single discount of:

A. 60% B. 49.6% C. 40.5% D. 36%

Answer: Option B
Explanation: Single equivalent discount for successive discounts of 10% and 20%, = (10 + 20 − [latex]\frac{10 × 20}{100}[/latex] )% = 28% Single equivalent discount for successive discounts of 28% and 30%, = (28 + 30 − [latex]\frac{28 × 30}{100}[/latex])% = 49.6%
3. A merchant purchase a wrist watch for Rs 1200 and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. The list price of the watch is:

A. Rs 1600 B. Rs 1200 C. Rs 1400 D. Rs 1800

Answer: Option A
Explanation: Let the marked price of the wrist watch be Rs x. According to the problem, [latex]\frac{90}{ 100x}[/latex] = [latex]\frac{1200 × 120}{100}[/latex] On solving, we get x = Rs 1600
4. A man sells an article at 5% above the cost price. If he had bought it at 5% less than what he paid for it and sold it for Rs 2 less, he would have gained 10%. The cost price of the article is:

A. Rs 250 B. Rs 400 C. Rs 350 D. Rs 200

Answer: Option B
Explanation: Let cost price of the article be Rs x. Then, selling price = [latex]\frac{105x}{100 }[/latex] If new cost price = [latex]\frac{95x}{100}[/latex] then selling price = [latex]\frac{105x}{100 }[/latex] − 2 = [latex]\frac{105x − 200}{100}[/latex] Profit = 10% of [latex]\frac{95x}{100}[/latex] = [latex]\frac{95x}{1000}[/latex] Profit = Selling Price - Cost Price [latex]\frac{95x}{1000}[/latex] = [latex]\frac{105x − 200}{100}[/latex] − [latex]\frac{95x}{100}[/latex] [latex]\frac{95x}{1000}[/latex] = [latex]\frac{105x − 200}{100}[/latex] or, 95x = 100x - 2000 or, -5x = -2000 or x = Rs 400 ∴ Cost price = Rs 400
5. Loss of 20% on selling price is equal to x% loss in cost price. What is x?

A. 20 B. 20 C. 16 23% D. 16

Answer: Option C
Explanation: Let selling price = Rs 100 Loss = 20% Cost price = Rs 120 Loss % of cost price = [latex]\frac{20}{120}[/latex] × 100 = 16 [latex]\frac{2}{3}[/latex]%