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

Ritu had $400$ mangoes. She sold $60$ mangoes at $25 \%$ gain , $80$ mangoes at $20\%$ gain, $120$ mangoes at $10 \%$ gain, $140$ mangoes at $20 \%$ loss. Her net gain or loss percent is :
  1. $\displaystyle 7\frac { 1 }{ 2 } $
  2. $\displaystyle 4\frac { 3 }{ 4 } $
  3. $\displaystyle 3\frac { 3 }{ 4 } $
  4. $3\dfrac{4}{3}$

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total mangoes = 400. Gains/losses: 60*0.25=15, 80*0.20=16, 120*0.10=12, 140*(-0.20)=-28. Net gain = 15+16+12-28 = 15. Total cost is assumed to be 100 per mango for simplicity (or just use units). Total gain = 15 units. Total cost = 400 units. Gain % = (15/400)*100 = 3.75% = 3 3/4%.

Multiple choice

A trader buys an article for Rs. 1,700 at a discount of 15% on its printed price. He raises the printed price of the article by 20% and then sells it for Rs. 2,688 including sales tax on the new marked price. Find: (i) the rate of sales tax (ii) the trader's profit as per cent.
  1. (i) $10$%      (ii) $36 \displaystyle\frac{1}{11}$%
  2. (i) $12$%      (ii) $41 \displaystyle\frac{3}{17}$%
  3. (i) $14$%      (ii) $47 \displaystyle\frac{5}{19}$%
  4. (i) $16$%      (ii) $53 \displaystyle\frac{7}{12}$%
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

An article is marked at Rs. 500. The wholesaler sells it to a retailer at 20% discount and charges sales-tax on the remaining price at 12.5%. The retailer, in turn, sells the article to a customer at its marked price and charges sales-tax at the same rate. Calculate: (i) the price paid by the customer (ii) the amount of VAT paid by the retailer.

  1. (i) Rs. 662.50            (ii) Rs. 11.50

  2. (i) Rs. 562.50            (ii) Rs. 12.50

  3. (i) Rs. 472.50            (ii) Rs. 13.50

  4. (i) Rs. 410.50            (ii) Rs. 14.50
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Wholesaler to retailer: Price = 500 * 0.8 = 400. Tax = 400 * 0.125 = 50. Total = 450. Retailer to customer: Price = 500. Tax = 500 * 0.125 = 62.5. Total = 562.50. VAT = Output tax - Input tax = 62.5 - 50 = 12.50.

Multiple choice

A manufacturer marks an article at Rs. $5,000$. He sells this article to a wholesaler at a discount of $25\%$ on the marked price and the wholesaler sells it to a retailer at a discount of $15\%$ on its marked price. If the retailer sells the article without any discount and at each stage the sales-tax is $8\%$, calculate the amount of VAT paid by: (i) the wholesaler (ii) the retailer
  1. (i) Rs. $20$         (ii) Rs. $30$
  2. (i) Rs. $30$         (ii) Rs. $50$
  3. (i) Rs. $40$         (ii) Rs. $60$
  4. (i) Rs. $50$         (ii) Rs. $80$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Wholesaler buys at 25% discount (Rs 3750) and sells at 15% discount (Rs 4250). VAT is 8% on the difference: 0.08 * (4250 - 3750) = Rs 40. Retailer buys at Rs 4250 and sells at Rs 5000. VAT is 0.08 * (5000 - 4250) = Rs 60.

Multiple choice

A merchant marks his goods up by $60\%$ and then offers a discount on the marked price. If the final selling price after the discount results in the merchant making no profit or loss, what was the percentage discount offered by the merchant ?
  1. $60\%$
  2. $40\%$
  3. $37.5\%$

  4. Depends on cost price
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. Marked price = 160. SP = 100 (no profit/loss). Discount = 160 - 100 = 60. Discount % = (60/160) * 100 = 37.5%.

Multiple choice

A man mixes two types of rice (X and Y) and sells the mixture at the rate of $Rs.17$ per kg. Find his profit percentage. P : Rate of X is Rs.$20$ per kg Q : Rate of Y is Rs.$13$ per kg

  1. Only P is sufficient to answer

  2. Only Q is sufficient to answer

  3. Both are sufficient to answer

  4. None of them are sufficient to answer
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the profit percentage, we need the cost price of the mixture. Since the ratio of X and Y in the mixture is not provided, we cannot determine the average cost price.