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Quantitative Aptitude > Discount

TRUE DISCOUNT MCQs

Total Questions : 223 | Page 23 of 23 pages
Question 221. A shopkeeper allows a discount of 12.5% on the marked price of a certain article and makes a profit of 20%. If the article costs the shopkeeper Rs. 210, then the marked price of the article will be = ?
  1.    Rs. 387
  2.    Rs. 350
  3.    Rs. 386
  4.    Rs. 288
 Discuss Question
Answer: Option D. -> Rs. 288
$$\eqalign{
& {\text{Market price of the article }} \cr
& {\text{ = }}210 \times \frac{{120}}{{100}} \times \frac{{100}}{{87.5}} \cr
& = {\text{Rs}}{\text{. 288}} \cr} $$
Question 222. The difference between simple interest and the true discount on Rs. 2400 due 4 years
hence at 5% per annum simple interest is -
  1.    Rs. 70
  2.    Rs. 30
  3.    Rs. 50
  4.    Rs. 80
 Discuss Question
Answer: Option D. -> Rs. 80
$$\eqalign{
& {\text{Given}}\,{\text{A}} = 2400 \cr
& {\text{R}} = 5\% \cr
& {\text{T}} = 4{\text{year}} \cr
& \therefore \,TD\, = \frac{{A \times R \times T}}{{100 + R \times T}} \cr
& TD = \frac{{2400 \times 4 \times 5}}{{100 + 20}} \cr
& TD = {\text{Rs}}{\text{. }}400 \cr
& \therefore \,{\text{S}}{\text{.I}}{\text{.}} - {\text{TD}} = \frac{{TD \times R \times T}}{{100}} \cr
& = \frac{{400 \times 5 \times 4}}{{100}} \cr
& = {\text{Rs}}{\text{. 80}}{\text{}} \cr} $$
Question 223. Charging 30% above its production cost a radio maker puts a label of Rs. 286 on a radio as is price. But at the time of selling it, he allows 10% discount on the labelled price. What will his gain be ?
  1.    Rs. 257.40
  2.    Rs. 254.40
  3.    Rs. 198
  4.    Rs. 37.40
 Discuss Question
Answer: Option D. -> Rs. 37.40
$$\eqalign{
& {\text{Cost of ratio}} \cr
& = \frac{{286}}{{130}} \times 100 \cr
& = {\text{Rs}}{\text{. 220}} \cr
& {\text{Selling price of ratio}} \cr
& = 286 \times \frac{{90}}{{100}} \cr
& = {\text{Rs 257}}{\text{.40}} \cr
& {\text{Profit}} = 257.40 - 220 \cr
& = {\text{Rs 37}}{\text{.40}} \cr} $$

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