Profit and Loss Discount Questions for SSC MTS

Here you can download the Profit and Loss Discount Questions for SSC MTS PDF with solutions by Cracku. These are the most important Profit and Loss Discount questions PDF prepared by various sources also based on previous year’s papers. Utilize this PDF for Profit and Loss Discount for SSC MTS. You can find a list of Profit and Loss Discount in this PDF which help you to test yourself and practice. So you can click on the below link to download the PDF for reference and do more practice.

Download Profit and Loss Discount Questions for SSC MTS

Enroll to 15 SSC MTS 2022 Mocks At Just Rs. 149

Question 1: An article was sold at a loss of 12%. If it was sold for ₹ 630 more, then there would have been a gain of 6%. Find the cost price of the article.

a) ₹ 3,500

b) ₹ 2,800

c) ₹ 2,500

d) ₹ 3,000

1) Answer (A)

Solution:

Let the cost price of the article = C

Selling price of the article at 12% loss = $\frac{88}{100}$C

Selling price of the article at 6% gain = $\frac{106}{100}$C

According to the problem,

$\frac{88}{100}$C $+  630 = \frac{106}{100}$C

$\Rightarrow$  $\frac{106}{100}$C $- \frac{88}{100}$C $=630$

$\Rightarrow$  $\frac{18}{100}$C $=630$

$\Rightarrow$  C = 3500

$\therefore\ $Cost price of the article = ₹ 3,500

Hence, the correct answer is Option A

Question 2: The printed price of a cooker is ₹ 2,000, and discounts are 30%, 20% and 10%, respectively. Find the selling price of the cooker.

a) ₹ 1,002

b) ₹ 1,008

c) ₹ 1,004

d) ₹ 1,006

2) Answer (B)

Solution:

Given, Marked price(Printed price) of the cooker = ₹ 2,000

Price of the cooker after 30% discount = $\frac{70}{100}\times2000$ = ₹ 1,400

Price of the cooker after 20% discount = $\frac{80}{100}\times1400$ = ₹ 1,120

Price of the cooker after 10% discount = $\frac{90}{100}\times1120$ = ₹ 1,008

$\therefore\ $Selling price of the cooker after successive discounts = ₹ 1,008

Hence, the correct answer is Option B

Question 3: Anil bought some articles at 6 for ₹ 8 and sold them at 10 for ₹ 12. His percentage loss orgain is:

a) 10% loss

b) 10% gain

c) 8% gain

d) 8% loss

3) Answer (A)

Solution:

Cost price of 6 articles = ₹ 8

$\Rightarrow$  Cost price of 1 article = $\frac{8}{6}$  = ₹ $\frac{4}{3}$

Selling price of 10 articles = ₹ 12

$\Rightarrow$  Selling price of 1 article = $\frac{12}{10}$ = ₹ $\frac{6}{5}$

Loss of 1 article = $\frac{4}{3}-\frac{6}{5}=\frac{20-18}{15}=$  ₹ $\frac{2}{15}$

Loss% $=\frac{\frac{2}{15}}{\frac{4}{3}}\times100=\frac{2}{15}\times\frac{3}{4}\times100=10\%$

Hence, the correct answer is Option A

Question 4: Marked price of an article is 20% more than it’s cost price. At what percent less should it be sold for no profit and no loss ?

a) $16 \frac{2}{3}$%

b) $16 \frac{1}{3}$%

c) $14 \frac{1}{3}$%

d) $14 \frac{2}{3}$%

4) Answer (A)

Solution:

Let the cost price of the article = C

$\Rightarrow$ Marked price of the article = $\frac{120}{100}$C = $\frac{6}{5}$C

For no profit and no loss, Selling price = Cost price = C

$\therefore\ $Required percentage = $\frac{\frac{6}{5}C-C}{\frac{6}{5}C}\times100$ = $\frac{\frac{1}{5}C}{\frac{6}{5}C}\times100$ = $16 \frac{2}{3}$%

Hence, the correct answer is Option A

Question 5: Sohan purchased an old scooter, and sold it for ₹28,000 thus gaining a 12% profit on the cost price. The cost price of the scooter is:

a) ₹27,000

b) ₹30,000

c) ₹25,000

d) ₹26,000

5) Answer (C)

Solution:

Let the cost price of the scooter = C

Profit% = 12%

$\Rightarrow$ Selling price of the scooter = $\frac{112}{100}$C

Given, Selling price of the scooter = ₹28,000

$\Rightarrow$ $\frac{112}{100}$C = 28000

$\Rightarrow$  C = ₹25,000

$\therefore\ $Cost price of the scooter = ₹25,000

Hence, the correct answer is Option C

Take a free SSC MTS Tier-1 mock test

Download SSC CGL Tier-1 Previous Papers PDF

Question 6: The marked price of a toy is ₹450. After a certain discount on the marked price, the selling price of the toy is ₹405. The rate of discount is:

a) 8%

b) 12%

c) 15%

d) 10%

6) Answer (D)

Solution:

Marked price of the toy = ₹450

Selling price of the toy = ₹405

Discount = 450 – 405 = 45

$\therefore\ $Discount% = $\frac{45}{450}\times100=10\%$

Hence, the correct answer is Option D

Question 7: A trader marks his goods in such a way that even after allowing 15% discount on marked price he still gains 27.5%. If the cost price of the goods is ₹ 200, then its marked price is:

a) ₹ 300

b) ₹ 250

c) ₹ 350

d) ₹ 400

7) Answer (A)

Solution:

Given, cost price of the goods = ₹ 200

Gain% = 27.5%

$\Rightarrow$  Selling price of the goods = $\frac{127.5}{100}\times200=255$

Let the marked price of the goods = M

Discount = 15%

$\Rightarrow$  Selling price of the goods = $\frac{85}{100}$M

$\Rightarrow$  $\frac{85}{100}$M = 255

$\Rightarrow$  M = 300

$\therefore\ $Marked price of the goods = ₹ 300

Hence, the correct answer is Option A

Question 8: Amit sold an article for ₹ 7,000 and incurred a loss. Had he sold it for ₹ 8,750, his gain would have been three-fourth of the amount of loss that he incurred. At what price should he sell the article to get 10% profit?

a) ₹ 8,800

b) ₹ 8,400

c) ₹ 8,000

d) ₹ 7,800

8) Answer (A)

Solution:

Let the cost price = C

Loss for selling price ₹ 7,000 = C – 7000

Profit for selling price ₹ 8,750 = 8750 – C

According to the problem,

$8750-\text{C}=\frac{3}{4}\left(\text{C}-7000\right)$

$\Rightarrow$  $8750-\text{C}=\frac{3}{4}\text{C}-5250$

$\Rightarrow$  $\frac{7}{4}\text{C}=14000$

$\Rightarrow$  C = 8000

$\therefore\ $Selling price = $\frac{110}{100}\times8000$ = ₹ 8,800

Hence, the correct answer is Option A

Question 9: The selling price of a book, including the sales tax, is ₹ 956.34. The rate of sales tax is 10%. If the shopkeeper has made a profit of 15%, then the cost price of the book is:

a) ₹ 836

b) ₹ 797.34

c) ₹ 845.98

d) ₹ 756

9) Answer (D)

Solution:

Let the cost price of the book = C

Sales tax = 10%

Price of the book with sales tax = $\frac{110}{100}C$

Profit = 15%

Selling price of the book = ₹ 956.34

$\Rightarrow$  $\frac{115}{100}\times\frac{110}{100}C$ = 956.34

$\Rightarrow$  $C=\frac{956340}{115\times11}$

$\Rightarrow$  $C=\frac{86940}{115}$

$\Rightarrow$  $C=\frac{3780}{5}$

$\Rightarrow$  $C=756$

$\therefore\ $Cost price of the book = ₹ 756

Hence, the correct answer is Option D

Question 10: A dozen pairs of gloves worth ₹ 600 are available at a discount of 10%. Find out how many pairs of gloves can be bought for ₹ 270.

a) Seven

b) Four

c) Six

d) Five

10) Answer (C)

Solution:

Marked price of dozen pair of gloves = ₹ 600

Discount = 10%

Selling price of the dozen pair of gloves by shopkeeper = $\frac{90}{100}\times600$ = ₹ 540

12 pair of gloves can be bought for ₹ 540

$\therefore\ $6 pair of gloves can be bought for ₹ 270

Hence, the correct answer is Option C

Question 11: A person purchased 40 items at some price. He sold some items at a profit of 30% by selling them at a price equal to the cost price of 26 items. The remaining items are sold at 18% profit. The total profit percentage is:

a) 27%

b) 28%

c) 24%

d) 25%

11) Answer (C)

Solution:

Let the cost price = 40C

Number of items sold at 30% profit = a

Cost price of ‘a’ items = aC

Selling price of ‘a’ items = $\frac{130}{100}aC$

According to the problem,

Selling price of ‘a’ items = Cost price of 26 items

$=$>  $\frac{130}{100}aC=26C$

$=$>  $a=20$

$=$>  Number of items sold at 30% profit = a = 20

Remaining items sold at 18% profit = 40 – 20 = 20

Selling price of items sold at 30% profit = $\frac{130}{100}\times20C$ = $26C$

Selling price of items sold at 18% profit = $\frac{118}{100}\times20C$ = $23.6C$

$\therefore\ $Total profit percentage = $\frac{26C+23.6C-40C}{40C}\times100=\frac{9.6}{40}\times100=24\%$

Hence, the correct answer is Option C

Question 12: By selling an article for $₹ 600$, a shopkeeper makes a profit of 20%. At what price should he sell the article to incur a loss of 20% ?

a) $₹ 500$

b) $₹ 400$

c) $₹ 300$

d) $₹ 600$

12) Answer (B)

Solution:

Let the cost price = C.P

Given,

Profit% = 20%

Selling price = $₹ 600$

$=$>  $\frac{120}{100}\text{C.P}=600$

$=$>  $\text{C.P}=500$

$\therefore\ $Selling price when loss is 20% = $\frac{80}{100}\text{C.P}=\frac{80}{100}\times500=₹ 400$

Hence, the correct answer is Option B

Question 13: A product, whose MRP is $₹$ 978, is sold for $₹$ 925 by a wholesale shop owner. What is the percentage of discount given by him?

a) 9.2%

b) 6.5%

c) 5.4%

d) 7.8%

13) Answer (C)

Solution:

Given,

MRP of the product = $₹$ 978

Selling Price of the product = $₹$ 925

Discount = 978 – 925 = $₹$ 53

Discount% = $\frac{\text{Discount}}{\text{MRP}}\times100$

$=\frac{53}{978}\times100$

$=0.054\times100$

$=5.4$%

Hence, the correct answer is Option C

Question 14: A shopkeeper purchased pens in bulk for $₹ 28$ each. He sold each for $₹ 40$. What was his profit percentage?

a) 48.12%

b) 28.40%

c) 42.85%

d) 38.75%

14) Answer (C)

Solution:

Let the number of pens purchased by shopkeeper = n

Cost price of each pen = $₹ 28$

$=$>  Cost price of total pens = 28n

Selling price of each pen = $₹ 40$

$=$>  Selling price of total pens = 40n

$\therefore\ $Profit percentage = $\frac{40n-28n}{28n}\times100$ = $\frac{12n}{28n}\times100$ = 42.85%

Hence, the correct answer is Option C

Question 15: A chair was purchased for $₹ 785$ and sold at a profit of 22%. What was the selling price?

a) $₹ 857.9$

b) $₹ 957.7$

c) $₹ 987.4$

d) $₹ 768.3$

15) Answer (B)

Solution:

Given,

Cost Price of the chair = $₹ 785$

Profit% = 22%

$=$>  Profit = $\frac{22}{100}\times785$

$\therefore\ $Selling Price = Cost Price + Profit = $785+\frac{22}{100}\times785$ = $\frac{122}{100}\times785$ = $₹ 957.7$

Hence, the correct answer is Option B

Question 16: If the cost price of 25 articles is equal to the selling price of 35 articles find the profit/loss percentage.

a) Loss — 28.57%

b) Profit — 28.57%

c) Profit — 18.93%

d) Loss — 18.93%

16) Answer (A)

Solution:

Given, cost price of 25 articles is equal to the selling price of 35 articles

Let the cost price of 25 articles = C

$=$>  Cost price of 1 article = $\frac{C}{25}$

Selling price of 35 articles = C

$=$>  Selling price of 1 article = $\frac{C}{35}$

Loss = Cost price – Selling price = $\frac{C}{25}-\frac{C}{35}$ = $\frac{10C}{25\times35}$ = $\frac{2C}{175}$

$\therefore\ $Loss% = $\frac{\frac{2C}{175}}{\frac{C}{25}}\times100$ = $\frac{2\times25}{175}\times100$ = $28.57\%$

Hence, the correct answer is Option A

Question 17: Sohan sold a plot for $₹ 2,55,000$ at a 15% loss. At what price should he sell the plot to gain a 10% profit?

a) $₹ 3,00,000$

b) $₹ 3,33,000$

c) $₹ 3,30,000$

d) $₹ 3,33,300$

17) Answer (C)

Solution:

Let the cost price of the plot = CP

Given, loss% = 15%

Selling price of the plot = $₹ 2,55,000$

$=$>  $\frac{85}{100}\text{CP}=255000$

$=$>  $\text{CP}=255000\times\frac{100}{85}$

$=$>  $\text{CP}=₹ 300000$

When gain is 10%,

Selling price of the article = $\frac{110}{100}\times300000=₹ 330000$

Hence, the correct answer is Option C

Question 18: A dealer marks his goods at 30% above the cost price. Then he allows 35% discount on it. What would be his loss percentage?

a) 15.5%

b) 16.5%

c) 17.5%

d) 18.5%

18) Answer (A)

Solution:

Let the Cost Price = C.P

Given, dealer marked his goods at 30% above cost price

$=$>  Marked Price (M.P) = $\frac{130}{100}$C.P = $\frac{13}{10}$C.P

Discount = 35%

$=$>  Selling Price (S.P) = $\frac{65}{100}$M.P = $\frac{65}{100}\times\frac{13}{10}$C.P = $\frac{845}{1000}$C.P

$\therefore\ $Loss % = $\frac{\text{C.P}-\text{S.P}}{\text{C.P}}\times100\ $

$=\frac{ \text{C.P}-\frac{845}{1000}\ \text{C.P}}{\text{C.P}}\times100\ $

$=\frac{155}{1000}\times100\ $

$=15.5$%

Hence, the correct answer is Option A

Question 19: The cost price of 33 books is the same as the selling price of ‘x’ books. If the profit is 10%, then the value of ‘x’ is :

a) 30

b) 20

c) 40

d) 10

19) Answer (A)

Solution:

Let the cost price of 33 books = C

Cost price of 1 book = $\frac{C}{33}$

Profit% = 10%

$=$>  Selling price of 1 book = $\frac{110}{100}\times\frac{C}{33}=\frac{C}{30}$

According to the problem,

Selling price of ‘$x$’ books = C

Selling price of 1 book = $\frac{C}{x}$

$=$>  $\frac{C}{x}=\frac{C}{30}$

$=$>  $x=30$

Hence, the correct answer is Option A

Question 20: In a 15% discount sale, the cost of a book is $₹ 2,150.$ What was the original price of the book? (Correct to two decimal places)

a) $₹ 1,527.00$

b) $₹ 2,500.00$

c) $₹ 2,529.41$

d) $₹ 2,250.50$

20) Answer (C)

Solution:

Given,

Cost Price of the book = $₹ 2,150$

Disount% = 15%

Let the Marked Price = MP

$=$>  $\frac{85}{100}\times \text{MP}=2150$

$=$>  $\text{MP}=₹ 2,529.41$

$\therefore\ $Original Price of the book = $₹ 2,529.41$

Hence, the correct answer is Option C

Question 21: If the gain is one-fifth of the selling price, then the gain percentage is:

a) 16%

b) 20%

c) 80%

d) 25%

21) Answer (D)

Solution:

Let the Cost Price = CP

Selling Price = SP

Given, gain is one-fifth of the selling price

$=$>  Gain = $\frac{\text{SP}}{5}$

$=$>  $\text{SP}-\text{CP}=\frac{\text{SP}}{5}$

$=$>  $\text{CP}=\text{SP}-\frac{\text{SP}}{5}$

$=$>  $\text{CP}=\frac{4\text{SP}}{5}$

$\therefore\ $Gain% = $\frac{\text{Gain}}{\text{CP}}\times100$

$=\frac{\frac{\text{SP}}{5}}{\frac{4\text{SP}}{5}}\times100$

$=\frac{1}{4}\times100$

$=25\%$

Hence, the correct answer is Option D

Question 22: A shopkeeper allows a discount of 20% on an article and still makes a profit of 25%. What does he pay for an article whose marked price is $₹800$?

a) $₹ 492$

b) $₹ 800$

c) $₹ 512$

d) $₹ 640$

22) Answer (C)

Solution:

Given, Marked Price (MP) = $₹800$

Discount% = 20%

$=$>  Selling Price (SP) = $\frac{80}{100}\times800=₹640$

Profi% = 25%

Let cost paid by the shopkeeper to purchase the article (Cost Price) = CP

$=$>  $\frac{125}{100}\text{CP}=640$

$=$>  $\text{CP}=₹512$

Hence, the correct answer is Option C

Question 23: Salma buys an article and then sells it for $₹ 810.$ If she loses 10%, then at what price should she sell it to gain 4%?

a) $₹ 900$

b) $₹ 936$

c) $₹ 864$

d) $₹ 729$

23) Answer (B)

Solution:

Given,

Selling Price of the article = $₹ 810$

Loss% = 10%

Let the Cost Price of the article = C.P

$=$>  $\frac{90}{100}\text{C.P}$ = $810$

$=$>  $\text{C.P}=₹ 900$

When gain is 4% then

Selling Price of the article = $\frac{104}{100}\text{C.P}=\frac{104}{100}\times900=₹ 936$

Hence, the correct answer is Option B

Question 24: A mobile phone was sold for ₹31,500 after giving two successive discounts of 30% and 10%, respectively. What was the marked price of the mobile?

a) ₹55,000

b) ₹50,000

c) ₹35,000

d) ₹52,500

24) Answer (B)

Solution:

Given,

Selling Price of the mobile phone = $₹31,500$

Let the Marked Price of the mobile phone = $\text{M.P}$

Price after 30% discount = $\frac{70}{100}\times \text{M.P}$

Selling Price after 10% discount = $\frac{90}{100}\times\frac{70}{100}\times \text{M.P}$

$=$>  $\frac{90}{100}\times\frac{70}{100}\times \text{M.P}=31500$

$=$>  $\text{M.P}=₹50000$

$\therefore\ $Marked Price of the mobile phone = $₹50,000$

Hence, the correct answer is Option B

Question 25: If the marked price of a television set is $₹ 24,500,$ then its selling price after a 12% discount on it is:

a) $₹ 21,460$

b) $₹ 21,640$

c) $₹ 21,650$

d) $₹ 21,560$

25) Answer (D)

Solution:

Given,

Marked Price of the television set = $₹ 24,500$

Discount% = 12%

$=$> Discount = $\frac{12}{100}\times24500=2940$

$\therefore\ $Selling Price = 24,500 – 2940 = $₹ 21,560$

Hence, the correct answer is Option D

Download SSC Preparation App

Enroll to 15 SSC MTS 2022 Mocks At Just Rs. 149