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Quantitative Aptitude > Discount

TRUE DISCOUNT MCQs

Total Questions : 223 | Page 6 of 23 pages
Question 51. After allowing a discount of 12% on the marked price of an article, it is sold for Rs.880. Find its marked price.
  1.    Rs.2,000
  2.    Rs.1,100
  3.    Rs.2,100
  4.    Rs.1,000
 Discuss Question
Answer: Option D. -> Rs.1,000
Answer: (d)Marked price= $100/{100 - 12} × 880$ = Rs.1000Using Rule 2,Here, S.P. = Rs.880, D = 12%, M.P. = ?M.P. = $\text"S.P. × 100"/{100 - D}$= ${880 × 100}/{100 - 12}$ = Rs.1000
Question 52. When a shopkeeper gives 10% discount on the list price of a toy, his gain is 20%. If he had given a discount of 20%, his percentage of gain would have been
  1.    8$1/3$%
  2.    6$2/3$%
  3.    15%
  4.    10%
 Discuss Question
Answer: Option B. -> 6$2/3$%
Answer: (b)Let the cost price of toy be Rs.100 and the marked price be x.${x × 90}/100 = 120$$x = {120 × 100}/90$ = Rs.$400/3$S.P. after a discount of 20%= 80% of $400/3$= ${400 × 80}/300 = 320/3 = 106{2}/3$Profit percent=$106{2}/3 - 100 = 6{2}/3$%
Question 53. A retailer gets a discount of 40% on the printing price of an article. The retailer sells it at the printing price. His gain per cent is
  1.    55%
  2.    40%
  3.    75%
  4.    66$2/3$%
 Discuss Question
Answer: Option D. -> 66$2/3$%
Answer: (d)Let the printed price of the article be Rs.100Discount = 40%C.P. = Rs.(100 - 40) = Rs.60S.P. = Rs.100Gain % = $40/60 × 100$= $200/3 = 66{2}/3$%
Question 54. A trader gains 15% after selling an item at 10% discount on the printed price. The ratio of the cost price and printed price of the item is
  1.    17 : 18
  2.    18 : 23
  3.    18 : 25
  4.    17 : 23
 Discuss Question
Answer: Option B. -> 18 : 23
Answer: (b)Let the CP of article be x and its marked price be y.According to the question,90% of y = 115% of x${y × 90}/100 = {x × 115}/100$$x/y =90/115 = 18/23$ ⇒ 18 : 23Using Rule 6,Here, r = 15%, D = 10%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$= ${100 + 15}/{100 - 10}$$\text"M.P."/ \text"C.P."= 115/90$$\text"C.P."/ \text"M.P."= 90/115$$\text"C.P."/ \text"M.P."= 18/23$C.P. : M.P. = 18 : 23
Question 55. An article is sold at a discount of 20% and an additional discount of 30% is allowed on cash payment. If Vidya purchased the article by paying Rs.2240 in cash, the marked price of the article was
  1.    Rs.4368
  2.    Rs.4000
  3.    Rs.4480
  4.    Rs.4400
 Discuss Question
Answer: Option B. -> Rs.4000
Answer: (b)Let the marked price of the article be x.Equivalent discount for successive discounts of 30% and 20%= $(30 + 20 - {30 × 20}/100)$%= (50 - 6)% = 44%(100 - 44)% of x = 2240${x × 56}/100 = 2240$$x = {2240 × 100}/56$ = Rs.4000
Question 56. A shopkeeper gains Rs.56 on a toy after allowing 23% discount on its marked price. If his gain is 10%, then the marked price of the toy is :
  1.    Rs.800
  2.    Rs.810
  3.    Rs.740
  4.    Rs.560
 Discuss Question
Answer: Option A. -> Rs.800
Answer: (a)Let marked price of toy be xS.P. = $x × 77/100 = {77x}/100$C.P. = $x × 77/100 × 100/110 = {7x}/10$${77x}/100 - {7x}/10 = 56$${7x}/100 = 56$$x = {100 × 56}/7$ = Rs.800
Question 57. While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns Rs.15 less as profit. What is the marked price of the watch?
  1.    Rs.1,400
  2.    Rs.1,250
  3.    Rs.750
  4.    Rs.1,500
 Discuss Question
Answer: Option D. -> Rs.1,500
Answer: (d)Let the marked price of watch be x.${x × 95}/100 - {x × 94}/100 = 15$x = 15 × 100 = Rs.1500
Question 58. A discount of 2½% is given to the customer on the marked price of an article. A man bought the article for Rs.39. The marked price of the article is :
  1.    Rs.36.5
  2.    Rs.42
  3.    Rs.41.5
  4.    Rs.40
 Discuss Question
Answer: Option D. -> Rs.40
Answer: (d)Suppose printed price = Rs.100S.P. = Rs.(100–2.5) = Rs.97.5Marked Price = ${100 × 39}/{97.5}$ = Rs.40
Question 59. A discount of 24% on the marked price of an article is allowed and then the article is sold for Rs.342. The marked price of the article is
  1.    Rs.490
  2.    Rs.500
  3.    Rs.430
  4.    Rs.450
 Discuss Question
Answer: Option D. -> Rs.450
Answer: (d)If the marked price of article be x, then${x × 76}/100 = 342$$x = {342 × 100}/76$ = Rs.450Using Rule 2,Here, D = 24%, S.P. = Rs.342, M.P. = ?M.P. = $\text"S.P. × 100"/{100 - D}$= ${342 × 100}/{100 - 24}$= $34200/76$ = Rs.450
Question 60. A discount of 16% on the marked price of a book enables a man to buy a pen that costs Rs.80. How much did he pay for the book ?
  1.    Rs.480
  2.    Rs.500
  3.    Rs.340
  4.    Rs.420
 Discuss Question
Answer: Option B. -> Rs.500
Answer: (b)Let the amount paid (s.p.) be x16% of x = 80x = $80/16 × 100$x = Rs.500

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