Maths MCQs for AD (ASF) – Series 5 (Q81-90)
Q81. A shopkeeper marks an article 40% above cost price and allows a discount of 25%. Find his gain percent.
- A) 5%
- B) 10%
- C) 15%
- D) None of these
Answer: A
Let CP = 100; MP = 140; SP = 140×0.75 = 105; gain = 5%.
Q82. By selling an article for Rs. 450, a man loses 10%. At what price should he sell it to gain 10%?
- A) Rs. 495
- B) Rs. 500
- C) Rs. 550
- D) None of these
Answer: C
CP = 450/0.9 = Rs. 500; SP for 10% gain = 500×1.1 = Rs. 550.
Q83. A trader allows a discount of 20% on the marked price and still gains 20%. If the cost price is Rs. 400, find the marked price.
- A) Rs. 600
- B) Rs. 500
- C) Rs. 550
- D) None of these
Answer: A
SP = 400×1.2 = 480; MP×0.8 = 480 → MP = Rs. 600.
Q84. A dishonest dealer sells goods at cost price but uses a weight of 900 gm instead of 1 kg. Find his gain percent.
- A) 11.11%
- B) 10%
- C) 12%
- D) None of these
Answer: A
Gain% = (shortage/actual weight given)×100 = (100/900)×100 = 11.11%.
Q85. If the cost price of 12 pens equals the selling price of 10 pens, find the gain percent.
- A) 16.66%
- B) 25%
- C) 20%
- D) None of these
Answer: C
Let CP of 1 pen = 1; CP of 12 = 12 = SP of 10 → SP of 1 = 1.2; gain = 0.2/1×100 = 20%.
Q86. A shopkeeper sold an item for Rs. 1955, gaining 1/9th of its cost price. Find the cost price.
- A) Rs. 1700
- B) Rs. 1800
- C) Rs. 1759.50
- D) None of these
Answer: C
SP = CP×(10/9) = 1955 → CP = 1955×9/10 = Rs. 1759.50.
Q87. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. Find the cost price of one ball.
- A) Rs. 50
- B) Rs. 65
- C) Rs. 60
- D) None of these
Answer: C
17×CP − 720 = 5×CP → 12×CP = 720 → CP = Rs. 60.
Q88. A retailer buys a radio for Rs. 225. His overhead expenses are Rs. 15. He sells the radio for Rs. 300. Find his profit percent.
- A) 30%
- B) 25%
- C) 20%
- D) None of these
Answer: B
Total CP = 225+15 = 240; profit = 300−240 = 60; profit% = 60/240×100 = 25%.
Q89. A man sold two watches for Rs. 1000 each, one at a gain of 25% and the other at a loss of 25%. Find his overall gain or loss percent.
- A) 6.25% gain
- B) No loss no gain
- C) 6.25% loss
- D) None of these
Answer: C
When SPs are equal with equal % gain and loss, overall loss% = (common%)²/100 = 625/100 = 6.25%.
Q90. A shopkeeper allows a discount of 10% on the marked price but charges sales tax of 8% on the discounted price. If a customer pays Rs. 2430 for an article, find the marked price.
- A) Rs. 2400
- B) Rs. 2600
- C) Rs. 2500
- D) None of these
Answer: C
Let MP = x. 0.9x×1.08 = 2430 → 0.972x = 2430 → x = Rs. 2500.
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