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Quantitative Aptitude > Discount

TRUE DISCOUNT MCQs

Total Questions : 223 | Page 1 of 23 pages
Question 1. A shopkeeper offers 10% discount on the marked price of his articles and still makes a profit of 20%. What is the actual cost of the article marked Rs.500 for him ?
  1.    Rs.375
  2.    Rs.400
  3.    Rs.440
  4.    Rs.425
 Discuss Question
Answer: Option A. -> Rs.375
Answer: (a)Let the cost price of article be x$500 × 90/100 = 120/100 × x$450 = ${6x}/5$$x = {450 × 5}/6$ = Rs.375Using Rule 6,C.P. = ? , M.P. = Rs.500, r = 20%, D = 10%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$500/\text"CP" = {100 + 20}/{100 - 10}$C.P.= ${500 × 90}/120$ = Rs.375
Question 2. The price that Akbar should mark on a pair of shoes which costs him Rs.1,200 to gain 12% after allowing a discount of 16% (in rupees) is
  1.    1,500
  2.    1,600
  3.    1,344
  4.    1,433
 Discuss Question
Answer: Option B. -> 1,600
Answer: (b)Let the marked price be x.$x × 84/100 = {1200 × 112}/100$$x × 84/100 = 112 × 12$$x = {112 × 1200}/84$ = Rs.1600Using Rule 6,C.P. = Rs.1200, r = 12%, D = 16%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$\text"MP"/1200 = {100 + 12}/{100 - 16}$M.P.= ${112 × 1200}/84$ = Rs.1600
Question 3. In order to maintain the price line a trader allows a discount of 10% on the marked price of an article. However, he still makes a profit of 17% on the cost price. Had he sold the article at the marked price, he would have earned a profit per cent of
  1.    35%
  2.    33%
  3.    30%
  4.    32%
 Discuss Question
Answer: Option C. -> 30%
Answer: (c)Let the marked price be Rs.100.S.P. = 90% of 100 = Rs.90Profit = 17%C.P. = Rs.$90 × 100/117$ = Rs.$1000/13$If no discount is allowed,S.P. = Rs.100Profit = Rs.$(100 - 1000/13)$ = Rs.$300/13$Profit % = ${300/13}/{1000/13}$ × 100 = 30%Using Rule 6,Here, D = 10%, r = 17%,Let the M.P. = Rs.100$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$100/\text"CP" = {100 + 17}/{100 - 10}$$100/\text"C.P." = 117/90$C.P. = ${100 × 90}/117 = 1000/13$Profit = S.P. - C.P.= $100 - 1000/13$ = Rs.$300/13$Profit % = ${300/13}/{1000/13} × 100%$ = 30%
Question 4. A manufacturer marked an article at Rs.50 and sold it allowing 20% discount. If his profit was 25%, then the cost price of the article was
  1.    Rs.30
  2.    Rs.32
  3.    Rs.40
  4.    Rs.35
 Discuss Question
Answer: Option B. -> Rs.32
Answer: (b)Marked price = Rs.50S.P. after discount = 80% of 50 = Rs.40If the CP of article be x, then${125 × x}/100 = 40$$x = {40 × 100}/125$ = Rs.32Using Rule 6,Here, M.P. = Rs.50, C.P. = ?,r = 25%, D = 20%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$50/\text"CP" = {100 + 25}/{100 - 20}$C.P.= ${50 × 80}/125$ = Rs.32
Question 5. A shopkeeper marks his goods 40% above the cost price. He allows a discount of 5% for cash payment to his customers. He receives Rs.1064 after paying the discount. His profit is
  1.    Rs.800
  2.    Rs.200
  3.    Rs.264
  4.    Rs.164
 Discuss Question
Answer: Option A. -> Rs.800
Answer: (a)Cost price of article = Rs.x$x × 140/100 × 95/100 = 1064$$x = {1064 × 100 × 100}/{140 × 95}$ = Rs.800
Question 6. An article listed at Rs.800 is sold at successive discounts of 25% and 15%. The buyer desires to sell it off at a profit of 20% after allowing a 10% discount. What would be his list price ?
  1.    Rs.680
  2.    Rs.640
  3.    Rs.620
  4.    Rs.600
 Discuss Question
Answer: Option A. -> Rs.680
Answer: (a)Using Rule 5,Effective discount= 25 + 15 - ${25 × 15}/100$= 40 - 3.75 = 36.25 %CP for buyer= (100 - 36.25) % of 800= ${63.75 × 800}/100$ = Rs.510To gain 20%,SP = Rs.$({120 × 510}/100)$ = Rs.612Let the list price be Rs.x.90% of x = Rs.612${90x}/100$ = 612$x = 61200/90$ = Rs.680
Question 7. The marked price of a T.V. is Rs.16,000. After two successive discounts it is sold for Rs.11,400. If the first discount is 5%, then the rate of second discount is
  1.    25%
  2.    30%
  3.    15%
  4.    20%
 Discuss Question
Answer: Option A. -> 25%
Answer: (a)After a discount of 5%SP = ${95 × 16000}/100$ = Rs.15200Let the second discount be x%.x% of 15200 = (15200 - 11400)${x × 15200}/100 = 3800$$x = {3800 × 100}/15200 = 25$Second discount = 25%Using Rule 3,Here, M.P. = 16000, S.P. = 11400, $D_1 = 5%, D_2$ = ?S.P. = M.P.$({100 - D_1}/100)({100 - D_2}/100)$11400 = 16000$({100 - 5}/100)({100 - D_2}/100)$$114000/{16 × 95} = 100 - D_2$$75 = 100 - D_2 ⇒ D_2$ = 25%
Question 8. An article is listed at Rs.900 and two successive discounts of 8% and 8% are given on it. How much would the seller gain or lose, if he gives a single discount of 16%, instead of two discounts ?
  1.    Loss of Rs.4.76
  2.    Gain of Rs.5.76
  3.    Gain of Rs.4.76
  4.    Loss of Rs.5.76
 Discuss Question
Answer: Option D. -> Loss of Rs.5.76
Answer: (d)Using Rule 5,Equivalent discount for two successive discounts of 8% and 8%= $(8 + 8 - {8 × 8}/100)$%= (16–0.64) % = 15.36 %SP = (100 –15.36) % of 900= Rs.$({84.64 × 900}/100)$ = Rs.761.76For a single discount of 16%,SP = 84% of 900= Rs.$({84 × 900}/100)$ = Rs.756Certainly seller will lose in this case.Loss = Rs. (761.76 - 756) = Rs.5.76
Question 9. The marked price of watch was Rs.820. A man bought the watch for Rs.570.72 after getting two successive discounts, of which the first was 20%. The second discount was
  1.    11%
  2.    13%
  3.    18%
  4.    15%
 Discuss Question
Answer: Option B. -> 13%
Answer: (b)Total discount=Rs.(820 - 570.72) = Rs.249.28First discount = $820 × 20/100$ = Rs.164Second discount= Rs.(249.28 - 164) = Rs.85.28Price of the article after first discount= Rs.(820 - 164) = Rs.656If the second discount be x% , thenx% of 656 = 85.28$x = {85.28 × 100}/656 = 13%$Using Rule 3,Here, M.P. = Rs.820, S.P. = 570.72, $D_1 = 20%, D_2$ = ?S.P. = M.P.$({100 - D_1}/100)({100 - D_2}/100)$$570.72 = 820 ({100 - 20}/100)({100 - D_2}/100)$$5707200/{820 × 80} = 100 - D_2$$100 - D_2 = 87 ⇒ D_2$ = 13%
Question 10. A shopkeeper gives two successive discounts on an article marked Rs.450. The first discount given is 10 per cent. If the customer pays Rs.344.25 for the article, the second discount given is
  1.    15 per cent
  2.    12 per cent
  3.    14 per cent
  4.    10 per cent
 Discuss Question
Answer: Option A. -> 15 per cent
Answer: (a) Let the second discount be x per cent.According to the question,$450 × {100 - 10}/100 × {100 - x}/100$ = 344.25100 - x = ${344.25 × 100 × 100}/{450 × 90}$100 - x = 85x = 100 - 85 = 15%.Using Rule 3,Here, M.P. = Rs.450, S.P. = Rs.344.25, $D_1 = 10%, D_2$ = ?S.P. = M.P.$({100 - D_1}/100)({100 - D_2}/100)$$344.25 = 450 × ({100 - 10}/100)({100 - D_2}/100)$$3442500/{450 × 90} = (100 - D_2)$$85 = 100 - D_2 ⇒ D_2$ = 15%

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