Profit and Loss MCQ Quiz - Objective Question with Answer for Profit and Loss - Download Free PDF

Last updated on Jun 11, 2025

Profit and loss is a vast aspect of mathematics and generally is used by the recruitment processes to test one’s calculations and critical thinking abilities. Testbook brings a discrete set of Profit and Loss MCQs Quiz with its answers and in detailed explanations. Profit and Loss objective questions come with some tips and tricks to smoothen out your preparation process. To amplify your preparation do solve these Profit and Loss questions and read the whole article.

Latest Profit and Loss MCQ Objective Questions

Profit and Loss Question 1:

A and B entered into a partnership by investing Rs. x and Rs. (x + 5000) respectively. At the end of the year, the ratio of profit share of A to B is 7: 9. Find the value of 7x?

  1. 165500
  2. 222500
  3. 145500
  4. 105500
  5. 122500

Answer (Detailed Solution Below)

Option 5 : 122500

Profit and Loss Question 1 Detailed Solution

Given:

Investment by A = Rs. x

Investment by B = Rs. (x + 5000)

Profit share ratio of A to B = 7 : 9

Formula used:

Profit share ratio = Investment ratio (since profit is directly proportional to investment)

Calculations:

Let the total profit be P.

The ratio of profit shares of A and B is given as 7:9. So, the profit for A is 7 parts and for B is 9 parts.

The total parts = 7 + 9 = 16 parts.

The profit share of A and B is directly proportional to their investments.

Investment of A / Investment of B = Profit share of A / Profit share of B

So, x / (x + 5000) = 7 / 9

Cross multiplying:

9x = 7(x + 5000)

9x = 7x + 35000

9x - 7x = 35000

2x = 35000

x = 35000 / 2 = 17500

Now, find the value of 7x:

7x = 7 × 17500 = 122500

∴ The value of 7x is Rs. 122500.

Profit and Loss Question 2:

A sold a camera to B at profit of 20%. Cost price of B is Rs. 30000. Find the cost price of A if he sold the camera in 25%?

  1. 30000
  2. 32000
  3. 35000
  4. 44000
  5. 42000

Answer (Detailed Solution Below)

Option 1 : 30000

Profit and Loss Question 2 Detailed Solution

Given:

Cost price of B = ₹30,000

Profit of B = 20%

Profit of A = 25%

Formula used:

Cost Price of A = Cost Price of B / (1 + Profit% of B)

Calculations:

Cost Price of A = 30,000 / (1 + 20/100)

⇒ Cost Price of A = 30,000 / 1.20

⇒ Cost Price of A = ₹25,000

∴ The cost price of A is ₹25,000.

Profit and Loss Question 3:

R and V started a business together. R invested Rs. X, while V invested Rs. 7000. After 5 months, R increased his investment by 50%. Two months later, V reduced his investment by 30%. At the end of 12 months, the total profit was Rs. 3020, out of which R received Rs. 1550 as his share. What was the initial investment made by R?

  1. 5600
  2. 5000
  3. 4400
  4. 4800
  5. 5400

Answer (Detailed Solution Below)

Option 2 : 5000

Profit and Loss Question 3 Detailed Solution

Calculation

Let R initial investment = 2x

After, five-month R investment = 2x × [150 /100] = 3x

V investment after seven months = 7000 × 7 /10 = 4900

Profit ratio of R to that of V

= (2x × 5 + 3𝑥 × 7) : (7000 × 7 + 4900 × 5)

= 31x: 73500

ATQ

[31𝑥/73500] = [1550 / (3020 – 1550)]

x = 2500

R initial investment = 2x = Rs 5000

So, X = 5000

Profit and Loss Question 4:

An article has a cost price of ₹ a and is sold at ₹ 2a. The marked price is ₹ 700 more than the cost price. Now, if both the cost price and selling price are increased by ₹ 100, but the marked price remains unchanged, then what is the difference between the new discount and the new profit on the article?
(Given: a=252−125)

  1. 440
  2. 460
  3. 480
  4. 400
  5. 450

Answer (Detailed Solution Below)

Option 4 : 400

Profit and Loss Question 4 Detailed Solution

Given:

a = 252 − 125 = 625 − 125 = ₹500

Cost Price (CP) = ₹a = ₹500

Selling Price (SP) = ₹2a = ₹1000

Marked Price (MP) = a + 700 = 500 + 700 = ₹1200

Formula used:

Discount = MP − SP

Profit = SP − CP

New values:

New CP = 500 + 100 = ₹600

New SP = 1000 + 100 = ₹1100

New MP = ₹1200 (unchanged)

Calculations:

New Discount = 1200 − 1100 = ₹100

New Profit = 1100 − 600 = ₹500

Difference = 500 − 100 = ₹400

∴ The required difference between new discount and new profit is ₹400.

Profit and Loss Question 5:

What is the profit percentage when half the quantity of an article is sold at double the price? 

  1. 200%
  2. 250%
  3. 300% 
  4. 400%

Answer (Detailed Solution Below)

Option 3 : 300% 

Profit and Loss Question 5 Detailed Solution

Given:

Half the quantity of an article is sold at double the price of the whole cost price.

Calculations:

Let's assume total quantity of the article = 2 units

and cost Price (CP) of the whole article (2 units) = ₹100

Therefore, CP of 1 unit (half the quantity) = ₹50

According to the problem, half the quantity (1 unit) is sold at double the price of the whole cost price.

Selling Price (SP) of 1 unit = 2 × (CP of 2 units)

⇒ SP of 1 unit = 2 × ₹100

⇒ SP of 1 unit = ₹200

Profit on the sale of this 1 unit = SP of 1 unit - CP of 1 unit

⇒ Profit = ₹200 - ₹50

⇒ Profit = ₹150

Profit percentage = (Profit / CP of quantity sold) × 100

⇒ Profit percentage = (150 / 50) × 100

⇒ Profit percentage = 3 × 100

⇒ Profit percentage = 300%

∴ The profit percentage is 300%.

Top Profit and Loss MCQ Objective Questions

A shopkeeper earns a profit of 25 percent on selling a radio at 15 percent discount on the Printed price. Finds the ratio of the Printed price and the cost price of the radio.

  1. 17 : 25
  2. 25 : 27
  3. 27 : 25
  4. 25 : 17
  5. None

Answer (Detailed Solution Below)

Option 4 : 25 : 17

Profit and Loss Question 6 Detailed Solution

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Given:

Profit = 25 Percent

Discount = 15 Percent

Formula:

MP/CP = (100 + Profit %)/(100 – Discount %)

MP = Printed Price

CP = Cost Price

Calculation:

We know that –

MP/CP = (100 + Profit %)/(100 – Discount %)   ………. (1)

Put all given values in equation (1) then we gets

MP/CP = (100 + 25)/(100 – 15)

⇒ 125/85

⇒ 25/17

∴ The Ratio of the Printed price and cost price of radio will be 25 ∶ 17

In what ratio sugar of Rs. 38 per kg and Rs. 30 per kg be mixed with each other so that on selling mixture at Rs. 35.2 per kg there will be a profit of 10%?

  1. 1 : 3
  2. 3 : 7
  3. 13 : 7
  4. 9 : 4

Answer (Detailed Solution Below)

Option 1 : 1 : 3

Profit and Loss Question 7 Detailed Solution

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Given Profit = 10%, Selling Price = Rs. 35.2

Cost Price = Selling Price/(1 + Profit%) = 35.2/(1 + 10%) = 35.2/(1 + 0.1) = 35.2/1.1 = Rs. 32

Now find the ratio in which the two varieties of sugar need to be mixed to get a cost price of Rs. 32

Using the formula for Allegations,

Quantity of lesser price/Quantity of higher price = (Average - Price of lesser quantity)/(Price of higher quantity Average)

⇒ (32 – 30)/(38 – 32) = 2/6 = 1 : 3

∴ Required ratio = 1 : 3

A shopkeeper normally makes a profit of 20% in a certain transaction; he weights 900 g instead of 1 kg, due to an issue with the weighing machine. If he charges 10% less than what he normally charges, what is his actual profit or loss percentage?

  1. 20%
  2. 28%
  3. 25%
  4. 30%

Answer (Detailed Solution Below)

Option 1 : 20%

Profit and Loss Question 8 Detailed Solution

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Given:

A shopkeeper normally makes a profit of 20% in a certain transaction,

He weights 900 g instead of 1 kg, due to an issue with the weighing machine.

He charges 10% less than what he normally charges.

Formula used:

SP = 

Calculations:

Let the cost price of 1 Kg of goods = Rs. 100

So, the selling price of 1 Kg of goods = 100 × 120/100 = Rs. 120

Cost price of 900 grams of goods = Rs. 90

According to question,

Shopkeeper charges 10% less what he normally charges

So, the new selling price = old selling price × (100 - 10)/100

⇒ New selling price = 120 ×  =Rs. 108

So, profit = Rs. (108 - 90) = Rs. 18

So, profit % = () × 100 = 20%

Hence, Profit percentage is 20%.

A dishonest merchant sells goods at a 12.5% loss on the cost price, but uses 28 g weight instead of 36 g. What is his percentage profit or loss?

  1. 6.25% loss
  2. 12.5% gain
  3. 18.75% gain
  4. 10.5% loss

Answer (Detailed Solution Below)

Option 2 : 12.5% gain

Profit and Loss Question 9 Detailed Solution

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Given:

A dishonest merchant sells goods at a 12.5% loss on the cost price but uses 28 g weight instead of 36 g. 

Concept used:

Final percentage change after two successive increments of A% and B% = (A + B + ) %

Calculation:

Percentage gain by using 28 g weight instead of 36 g =  = 

Percentage loss = 12.5%

Considering 12.5% loss as -12.5% profit,

Now, the final percentage profit/loss =  = +12.5%

Here, the positive sign indicates a percentage profit.

∴ His percentage profit is 12.5%

Shortcut TrickCalculation:

Merchant sells goods at a 12.5% loss:

C.P : S.P = 8 : 7

Merchant uses 28 g weight instead of 36 g

C.P : S.P = 28 : 36 = 7 : 9

We can use successive methods:

C.P. S.P.
8 7
7 9
56 63

So, C.P : S.P = 56 : 63 = 8 : 9

Profit% = {(9 - 8)/8} × 100 

⇒ 12.5%

∴ The correct answer is 12.5%.

Two successive discounts of 40% and 20%, respectively, on the marked price of an article are equal to single discount of Rs 988. The marked price (in Rs) of the article is:

  1. 1,900
  2. 2,200
  3. 2,470
  4. 2,070

Answer (Detailed Solution Below)

Option 1 : 1,900

Profit and Loss Question 10 Detailed Solution

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Given:

Two discounts = 40% and 20%

Formula:

Two discounts a% and b%

Total discount = 

Discount amount = (marked price) × (discount %)/100

Calculation:

Single discount percentage =  = 52%

⇒ 52 = 988/marked price × 100

⇒ Marked price = 1900

∴ Marked price of an article is Rs.1900.

Alternate MethodLet the MP be x.

x - [x × (100 - 40)/100 × (100 - 20)/100] = 988

⇒ x - [x × (60/100) × (80/100)] = 988

⇒ x - x × (3/5) × (4/5) = 988

⇒ 13x/25 = 988

⇒ x = (988 × 25)/13

⇒ x = 1900

∴ Marked price of an article is Rs.1900.

Sulekha bought 36 kg of sugar for Rs. 1,040. She sold it at a profit equal to the selling price of 10 kg of it. What is the selling price (in Rs.) for 5 kg of sugar ?

  1. 200
  2. 215
  3. 220
  4. 235

Answer (Detailed Solution Below)

Option 1 : 200

Profit and Loss Question 11 Detailed Solution

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Given:

Cost price of 36 kg sugar = Rs.1040

Formula used:

Profit = Selling price - Cost price

Calculation:

CP of 1 kg sugar = Rs.1040/36 

According to the question, 

SP × 10 = SP × 36 - CP × 36

⇒ CP × 36 = 26 × SP

⇒ 1040/ 36 × 36 = 26 × SP 

⇒ 1040 = 26 × SP

⇒ SP = 1040/26 = 40

Now, SP of 5 kg of sugar = 40 × 5 = Rs. 200

∴ The selling price of 5 kg sugar = Rs.200

A grocery shop is offering 10% discount on the purchase of Rs.500 and above. A 5% discount is given on the purchase of value above Rs.250 but below Rs.500. A discount of additional 1% is given if payment is made instantly in cash. How much would a customer have to pay by cash if he buys 25 packets of biscuits and one packet is priced at Rs.30?

  1. Rs.670.25
  2. Rs.668.25
  3. Rs.675
  4. Rs.667.05

Answer (Detailed Solution Below)

Option 2 : Rs.668.25

Profit and Loss Question 12 Detailed Solution

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Given:

A grocery shop is offering a 10% discount on the purchase of Rs.500 and above. A 5% discount is given on the purchase of value above Rs.250 but below Rs.500. A discount of an additional 1% is given if payment is made instantly in cash. 

He bought 25 packets of biscuits and one packet is priced at Rs.30.

Concept used:

1. Final discount percentage after two successive discounts of A% and B% = 

2. Selling price = Marked Price × (1 - Discount%)

Calculation:

Total billed price = 25 × 30 = Rs. 750

Since he paid in cash, he would get two consecutive discounts of 10% and 1%.

So, final discounts = 10 + 1 - (10 × 1)/100 = 10.9%

Now, he would have to pay = 750 × (1 - 10.9%) = Rs. 668.25

∴ He would have to pay Rs. 668.25.

A and B invested money in a business in the ratio of 7 ∶  5. If 15% of the total profit goes for charity, and A's share in the profit is Rs. 5,950, then what is the total profit?

  1. Rs. 12,500
  2. Rs. 12,000
  3. Rs. 10,500
  4. Rs. 11,750

Answer (Detailed Solution Below)

Option 2 : Rs. 12,000

Profit and Loss Question 13 Detailed Solution

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Given:

A and B invested money in a business in the ratio of 7 ∶  5.

15% of the total profit goes for charity, and A's share in the profit is Rs. 5,950

Calculation:

The total profit of A and B will be 5950 × 12 / 7 = Rs 10200

The total profit including charity is 10200 × 100/85 = Rs 12000

∴ The correct option is 2

A shopkeeper marks his goods 30% higher than the cost price and allows a discount of 10% on the marked price. In order to earn 6.5% more profit, what discount percent should he allow on the marked price?

  1. 5
  2. 4
  3. 6
  4. 5.5

Answer (Detailed Solution Below)

Option 1 : 5

Profit and Loss Question 14 Detailed Solution

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Given:

Mark up percentage on goods = 30%

Discount Percentage = 10%

Formulas used:

Selling Price = Cost Price + Profit

Profit percent = Profit/Cost Price × 100

Discount = Marked Price - Selling Price

Discount percent = Discount/Marked Price × 100 

Calculation:

Let the cost price be = 100a 

Marked price = 100a + 100a × 30/100 = 130a 

Selling price after discount = 130a - 130a × 10/100 

⇒ 117a 

Selling price for 6.5% more profit = 117a + 100a × 6.5/100 

⇒ 117a + 6.5a = 123.5a 

∴ New Discount percent = (130a -123.5a)/130 × 100 

⇒ 5%

Shortcut Trick 

On selling an item for 440 rupees, loss is 60% of the profit received on selling the same item in 1000 rupees. Know the purchase price of that item? (In rupees)

  1. 650
  2. 680
  3. 660
  4. 670

Answer (Detailed Solution Below)

Option 1 : 650

Profit and Loss Question 15 Detailed Solution

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Calculation:

Let cost price of the item be Rs. x

According to the question

(x – 440) = (1000 – x) × 60/100

⇒ (x – 440) = (1000 – x) × 3/5

⇒ 5x – 2200 = 3000 – 3x

⇒ 5x + 3x = 3000 + 2200

⇒ 8x = 5200

⇒ x = 5200/8

⇒ x = 650

∴ The correct answer is option (1).

Shortcut Trick

 

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