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Quantitative Aptitude > Discount

TRUE DISCOUNT MCQs

Total Questions : 223 | Page 5 of 23 pages
Question 41. A trader sells his goods at a discount of 20%. He still makes a profit of 25%. If he sells the goods at the marked price only, his profit will be
  1.    54.25%
  2.    50.25%
  3.    56.25%
  4.    25.56%
 Discuss Question
Answer: Option C. -> 56.25%
Answer: (c)Let the marked price = Rs.100S.P = Rs.80Profit = 25%CP = Rs.$(100/125 × 80)$ = Rs.64Profit after selling on marked price= 100 - 64 = Rs.36Gain % = $36/64 × 100$ = 56.25%Using Rule 6,Here, D = 20% r = 25%Let, M.P. be Rs.100$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$100/\text"CP" = {100 + 25}/{100 - 20}$C.P. = ${100 × 80}/125$C.P. = Rs.64Profit = 100 - 64 = 36Gain % = $36/64 × 100%$ = 56.25%
Question 42. The true discount on Rs.1, 860 due after a certain time at 5% is Rs.60. Find the time after which it is due.
  1.    1 year
  2.    9 months
  3.    10 months
  4.    8 months
 Discuss Question
Answer: Option D. -> 8 months
Answer: (d)Present worth= 1860 - 60 = Rs.1800Time = ${100 × \text"True Discount"}/\text"Present worth × Rate"$= ${100 × 60}/{1800 × 5} = 2/3$ year= $(2/3 × 12)$ months = 8 months
Question 43. The cost of manufacturing an article was Rs.900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :
  1.    Rs.1000
  2.    Rs.1200
  3.    Rs.1500
  4.    Rs.1250
 Discuss Question
Answer: Option D. -> Rs.1250
Answer: (d)CP = Rs.900S.P. = 125% of 900= $({900 × 125}/100)$ = Rs.1125Let the marked price be x90% of x = Rs.1125$x = {1125 × 100}/90$ = Rs.1250
Question 44. A shopkeeper buys an article for Rs.180. He wishes to gain 20% after allowing a discount of 10% on the marked price to the customer. The marked price will be
  1.    Rs.300
  2.    Rs.270
  3.    Rs.210
  4.    Rs.240
 Discuss Question
Answer: Option D. -> Rs.240
Answer: (d)SP = $180 × 120/100$ = Rs.21690% = 216100% = $216/90 × 100$ = Rs.240
Question 45. After allowing a discount of 12% on the marked price, a shopkeeper still gains 21%. The marked price is above the cost price by
  1.    42.5%
  2.    37.5%
  3.    25%
  4.    30%
 Discuss Question
Answer: Option B. -> 37.5%
Answer: (b)C.P. of article = Rs.100Marked price be x${x × 88}/100$ = 121$x = {121 × 100}/88$ = Rs.137.5i.e. 37.5% above C.P.Using Rule 9,Here, r = 12%, R = 21%Required percentage= $({r + R}/{100 - r} × 100)$%= $({12 + 21}/{100 - 12}) × 100%$= $33/88 × 100%$= $3/8 × 100$= $300/8$% = 37.5%
Question 46. By giving a discount of 10% on the marked price of Rs.1100 of a cycle, a dealer gains 10%. The cost price of the cycle is :
  1.    Rs.891
  2.    Rs.1089
  3.    Rs.1100
  4.    Rs.900
 Discuss Question
Answer: Option D. -> Rs.900
Answer: (d)Selling Price= Rs.(1100 - 10% of 1100)= Rs.(1100 - 110) = Rs.990Let the cost price = xx + 10% of x = 990${11x}/10$ = 990$x = {990 × 10}/11$ = Rs.900Using Rule 6,Here, r = 10%, D = 10%, M.P. = Rs.1100, C.P. = ?$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$1100/\text"CP" = {100 + 10}/{100 - 10}$C.P. = ${1100 × 90}/110$ = Rs.900
Question 47. A trader wishes to gain 20% after allowing 10% discount on the marked price to his customers. At what per cent higher than the cost price must he marks his goods ?
  1.    35%
  2.    34$2/3$%
  3.    30%
  4.    33$1/3$%
 Discuss Question
Answer: Option D. -> 33$1/3$%
Answer: (d)Let the CP be Rs.100.Then SP = Rs.120Let the marked price be x.Then, 90% of x = Rs.120$x = {120 × 100}/90$= $400/3 = 133{1}/3$It is $33{1}/3$% higher than the CP.
Question 48. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
  1.    47 : 51
  2.    47 : 56
  3.    45 : 56
  4.    45 : 51
 Discuss Question
Answer: Option C. -> 45 : 56
Answer: (c)Let the CP be Rs.100.SP = Rs.112If the marked price be x, then90 % of x = 112x = ${112 × 100}/90$ = Rs.$1120/9$Required ratio = 100 : $1120/9$= 900 : 1120 = 45 : 56Using Rule 6,Here, r = 12% D = 10%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$\text"MP"/\text"CP" = {100 + 12}/{100 - 10}$$\text"MP"/\text"CP" = 112/90$$\text"CP"/\text"MP" = 90/112$$\text"CP"/\text"MP" = 45/56$C.P. : M.P. = 45 : 56
Question 49. A profit of l0% is made after giving a discount of 5% on a T. V. If the marked price of the TV is Rs.2640.00, the cost price of the TV was :
  1.    Rs.2396
  2.    Rs.2380
  3.    Rs.2280
  4.    Rs.2296
 Discuss Question
Answer: Option C. -> Rs.2280
Answer: (c)Let the C.P. of TV be x, then${x × 110}/100 = 2640 × 95/100$$x = {2640 × 95}/110$ = Rs.2280Using Rule 6,Here, r = 10%, D = 5%,M.P. = Rs.264000,C.P. = ?$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$2640/\text"CP" = {100 + 10}/{100 - 5}$C.P. = ${2640 × 95}/110$= 24 × 95 = 2280
Question 50. The marked price of an article is Rs.200. A discount of 12$1/2$%is allowed on the marked price and a profit of 25% is made. The cost price of the article is :
  1.    Rs.140
  2.    Rs.120
  3.    Rs.200
  4.    Rs.175
 Discuss Question
Answer: Option A. -> Rs.140
Answer: (a)Discount = $12{1}/2% = 25/2$%After discount S.P.= Rs.200 × 87.5 = Rs.175Gain % = 25%Required C.P.= Rs.$100/125$ × 175 = Rs.140Using Rule 6,Here, r = 25%, D = 12.5%,M.P. = Rs.200, C.P. = ?$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$200/\text"CP" = {100 + 25}/{100 - 12.5}$C.P. = ${200 × 87.5}/125$ ⇒ C.P.= Rs.140

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