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

An article costing Rs. $100$ is sold for Rs. $x$. The loss percent is
  1. $\displaystyle\frac{100-x}{100}\times 100$
  2. $\displaystyle\frac{x-100}{100}\times 100$
  3. $\displaystyle\frac{100-x}{x}\times 100$
  4. $\displaystyle\frac{x-100}{x}\times 100$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Loss is calculated as (Cost Price - Selling Price) / Cost Price * 100. Substituting 100 for Cost Price and x for Selling Price gives (100 - x) / 100 * 100.

Multiple choice

A dealer sold a VCR and a TV for $Rs.38560$ making profit of $12$% on VCR and $15$% on TV. By selling them for $Rs.38620$, he would have realised a profit of $15$% on VCR and $12$% on TV. Find the cost price of each
  1. CP of VCR $=Rs.15000$ and CP of TV $=Rs.17000$
  2. CP of VCR $=Rs.21000$ and CP of TV $=Rs.32000$
  3. CP of VCR $=Rs.18000$ and CP of TV $=Rs.16000$
  4. CP of VCR $=Rs.12000$ and CP of TV $=Rs.15000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let V = CP of VCR, T = CP of TV. 1.12V + 1.15T = 38560. 1.15V + 1.12T = 38620. Adding: 2.27(V+T) = 77180 => V+T = 34000. Subtracting: 0.03V - 0.03T = 60 => V-T = 2000. 2V = 36000 => V = 18000, T = 16000.

Multiple choice

Mariyam bought some Black Pencils at the rate of $Rs.5$ per $9$ pencils and an equal number of coloured pencils at the rate of $Rs.5$ per $11$ pencils. If she sold all the pencils at the rate of $Rs.5$ per $10$ pencils, the gain or loss percent is

  1. No gain no loss
  2. gain $1\%$
  3. loss $10\%$
  4. loss $1\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost of 9 pencils = 5, cost of 11 pencils = 5. To buy equal numbers, take LCM(9, 11) = 99. Cost for 99 black = 55. Cost for 99 coloured = 45. Total cost for 198 pencils = 100. Selling price for 198 pencils at 5 per 10 = (198/10) * 5 = 99. Loss = 100 - 99 = 1. Loss percent = (1/100) * 100 = 1%.

Multiple choice

By selling a product for Rs. $100$ how much profit was earned? (I) $20\%$ profit would have been earned if it had been sold for Rs. $90$. (II) The profit was one-third of the cost price

  1. Statement (I) ALONE is sufficient, but statement (II) B alone is not sufficient

  2. Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient

  4. EACH statement ALONE is sufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I: If selling at 90 gives 20% profit, then 1.2 * CP = 90, so CP = 75. Selling at 100 gives 25 profit, which is known. Statement II: Profit = 1/3 * CP. Selling Price = CP + 1/3 * CP = 4/3 * CP. 100 = 4/3 * CP, so CP = 75, profit = 25. Both are sufficient independently.