Quantitative Aptitude

Profit, Loss and Discount

2,604 Questions
All Basic CP/SP Percentage Relationship 874 Marked Price, Markup, and Discount 786 Partial Sales and Multiple Transactions 338 Successive Discounts 218 Cost Price of X = Selling Price of Y 180 Faulty Weight or Measure 126 Equal Profit and Loss Rates 57 Free-item Offers 23 Price and Consumption Variation 1

Profit, Loss and Discount Questions

Multiple choice

If goods be purchase for Rs.$380$ and $\dfrac {2}{3}$rd be sold at loss of 15%, at what gain percent should the remainder be sold so as to gain $10$% on the whole transaction
  1. $60$%
  2. $70$%
  3. $90$%
  4. $40$%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total cost = 380. Target gain = 10% of 380 = 38. Loss on 2/3 (253.33) at 15% = 253.33 * 0.15 = 38. To gain 38 total, the remaining 1/3 (126.67) must cover the 38 loss plus the 38 target gain = 76. Gain % = (76 / 126.67) * 100 = 60%.

Multiple choice

A merchant sold an item for Rs. 1200 to earn a profit over its cost price of a little more than 50% what could the cost price be?

  1. Rs. 55

  2. Rs. 607

  3. Rs. 800

  4. Rs 1809
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit > 50% means SP > 1.5 * CP. 1200 > 1.5 * CP => CP < 1200 / 1.5 = 800. The only option less than 800 is 607 (if we assume "a little more than 50%" means the profit is slightly above 50%). If CP = 800, profit is exactly 50%. The phrasing "a little more than 50%" implies CP must be less than 800.

Multiple choice

A trader gives 25% discount on his articles and still makes a profit of 25%. Find his profit per cent, if he sells his articles at their marked price.
  1. $\displaystyle 66\frac{2}{3}\%$
  2. $\displaystyle 68\frac{2}{3}\%$
  3. $\displaystyle 66\frac{1}{3}\%$
  4. $\displaystyle 16\frac{2}{3}\%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the cost price be 100. Since profit is 25%, the selling price is 125. A 25% discount on the marked price (MP) means 0.75 * MP = 125, so MP = 125 / 0.75 = 500/3. Selling at MP means selling at 500/3. Profit = (500/3 - 100) / 100 = 200/3 = 66 2/3%.

Multiple choice

Rohit purchased an article for Rs. 6,500 and sold it at 30% above the cost price. If the selling price includes Rs. 225 as tax, find his net profit and profit percentage
  1. $\displaystyle Rs. 1,725\, and\, 26\frac{7}{13}\%\, =\, 26.54\%$
  2. $\displaystyle Rs. 1,725\, and\, 26\frac{9}{13}\%\, =\, 26.54\%$
  3. $\displaystyle Rs. 1,735\, and\, 26\frac{7}{13}\%\, =\, 26.54\%$
  4. $\displaystyle Rs. 1,225\, and\, 26\frac{7}{13}\%\, =\, 26.54\%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cost = 6500. Selling price = 1.3 * 6500 = 8450. Profit = 8450 - 6500 = 1950. Net profit after tax = 1950 - 225 = 1725. Profit % = (1725 / 6500) * 100 = 26.538% = 26 7/13%.