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

A shopkeeper bought 150 calculators at the rate of Rs 250 per calculator. He spent Rs 2500 on transportation and packing If the marked price of a calculator is Rs. 320 per calculator and the shopkeeper gives a discount of 5% on the marked price, then what will be the percentage profit gained by the shopkeeper?

  1. 12%

  2. 13%

  3. 14%

  4. 15%

  5. 16%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total cost = (150 * 250) + 2500 = 37500 + 2500 = 40000. Selling price per unit = 320 * 0.95 = 304. Total revenue = 150 * 304 = 45600. Profit = 45600 - 40000 = 5600. Profit percentage = (5600 / 40000) * 100 = 14%.

Multiple choice

A certain gadget's manufacturing cost is \$80 to a company. The gadget is sold by a salesperson who earns a commission equal to 15% of the sales price of the gadget. The company's profit for each unit is equal to the sales price minus the sum of the manufacturing cost and the commission. If the sales price of the gadget is \$120, which of the following equations gives the number of units, u, the company must sell to make a total profit of $9,152?

  1. (120(1 - 0.15) - 80)u = 9,152

  2. (120 - 80)(1 - 0.15)u = 9,152

  3. 0.15(120) + 80u = 9,152

  4. 0.85(120) - 80u = 9,152
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Profit per unit = Sales Price - (Manufacturing Cost + Commission). Commission = 0.15 * Sales Price. Profit = 120 - (80 + 0.15 * 120). Total Profit = u * (120 - 80 - 0.15 * 120) = 9152. This simplifies to (120 - 0.15 * 120 - 80)u = 9152, which is (120(1 - 0.15) - 80)u = 9152.

Multiple choice

Atul sold two sacks of rice for Rs. 19,200 each. On one sack, he gained 20%, while on the other, he incurred a loss of 20%. Find the overall percentage of gain or loss in the entire transaction.

  1. 7% profit

  2. 8% profit

  3. 5% loss

  4. 4% loss
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When two items are sold at the same price, one at x% profit and one at x% loss, the overall result is always a loss of (x/10)^2 percent. Here x = 20, so loss = (20/10)^2 = 2^2 = 4% loss.

Multiple choice

The table given below shows the marked price and the discount for five different articles. Article Marked price Discount A Rs. 350 Rs. 70 B Rs. 650 Rs. 75 C Rs. 450 Rs. 66 D Rs. 750 Rs. 72 E Rs. 850 Rs. 80 Selling price = Marked price - Discount L1 = The average of discount of articles C and D. L2 = Sum of the selling price of all articles. What is the value of (L1 + L2)?

  1. Rs. 2,756

  2. Rs. 2,687

  3. Rs. 2,816

  4. Rs. 2,618
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

L1 = (66 + 72) / 2 = 138 / 2 = 69. Selling prices: A=280, B=575, C=384, D=678, E=770. L2 = 280+575+384+678+770 = 2687. L1 + L2 = 69 + 2687 = 2756.

Multiple choice

Pramod sells trousers after giving a 30% discount on the marked price, and he makes a profit of 40%. By what percentage should the marked price be increased so that even after giving a discount of 60%, Pramod can make a profit of 20%?

  1. 30%

  2. 40%

  3. 50%

  4. 60%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. Profit 40% means SP = 140. Discount 30% on MP means 0.7 * MP = 140, so MP = 200. New target: Profit 20% means new SP = 120. Discount 60% means 0.4 * New_MP = 120, so New_MP = 300. Increase from 200 to 300 is 100/200 = 50%.

Multiple choice

Mrs. Jone sold two houses for $80,000 each. One house was sold at a 20 percent loss and the other at a 20 percent gain. Column A Column B Gain - Loss 10 Compare the two quantities to decide whether

  1. the quantity in Column A is greater

  2. the quantity in Column B is greater

  3. the two quantities are equal

  4. the relationship cannot be determined from the information given
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Selling price = 80,000 each. Total SP = 160,000. For 20% loss: CP1 = 80,000 / 0.8 = 100,000. For 20% gain: CP2 = 80,000 / 1.2 = 66,666.67. Total CP = 166,666.67. Net loss = 6,666.67. Column A is -6666.67, Column B is 10. Column B is greater.