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All questions of Profit & Loss for SSC CGL Exam

Arun sells an article at 20% profit to Bala, Bala sells it to Catherine at 10% profit. Catherine sells it to Dinesh at Rs. 16 profit. The difference between the cost price of Dinesh and cost price of Arun was Rs. 500. How much did Bala pay to Arun for the article? 
  • a)
    Rs.1350
  • b)
    Rs.1815
  • c)
    Rs.1650
  • d)
    Rs.1750
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Kirti Dahiya answered
"use of successive percentage" Let article cost is 100x...,, 100x -> 120x -> 132x -> (132+16) Arun. Bala. Catherine Dinesh The difference between the cost price of Dinesh and cost price of Arun was Rs. 500 So, (132x+16) - 100x = 500 X= 121/8 Bala pay to Arun for the article is 120x => 120* 121/8 => 1815

A TV was purchased for Rs. 54000. Its price was marked up by 40%.It was sold at a discount of 20% on the marked price. What was the profit percent of the cost price?
  • a)
    10%
  • b)
    11%
  • c)
    15%
  • d)
    12%
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Aarav Sharma answered
Let's break down the given information and solve the problem step by step.

Given information:
- The TV was purchased for Rs. 54000.
- The price was marked up by 40%.
- It was sold at a discount of 20% on the marked price.

Step 1: Finding the marked price
Since the price was marked up by 40%, we can find the marked price by adding 40% of the purchase price to the purchase price itself.

Marked price = Purchase price + 40% of the purchase price
= Rs. 54000 + 40% of Rs. 54000
= Rs. 54000 + (40/100) * Rs. 54000
= Rs. 54000 + (2/5) * Rs. 54000
= Rs. 54000 + Rs. 21600
= Rs. 75600

So, the marked price of the TV is Rs. 75600.

Step 2: Finding the selling price
Since the TV was sold at a discount of 20% on the marked price, we can find the selling price by deducting 20% of the marked price from the marked price itself.

Selling price = Marked price - 20% of the marked price
= Rs. 75600 - 20% of Rs. 75600
= Rs. 75600 - (20/100) * Rs. 75600
= Rs. 75600 - (1/5) * Rs. 75600
= Rs. 75600 - Rs. 15120
= Rs. 60480

So, the selling price of the TV is Rs. 60480.

Step 3: Finding the profit percentage
Profit percentage can be calculated using the formula:

Profit percentage = (Profit / Cost price) * 100

In this case, the profit is the difference between the selling price and the purchase price, and the cost price is the purchase price.

Profit = Selling price - Purchase price
= Rs. 60480 - Rs. 54000
= Rs. 6480

Profit percentage = (6480 / 54000) * 100
= (12 / 100) * 100
= 12%

Therefore, the profit percentage of the cost price is 12%.

Hence, the correct answer is option D) 12%.

A trader mixes 25% of solution A to his Solution B and then he sells the whole mixture at the price of Solution B. If the cost price of Solution A be 50% of the cost price of Solution B, what is the net profit percentage?
  • a)
    100/3%
  • b)
    200/7%
  • c)
    100/9%
  • d)
    200/3%
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Preeti Khanna answered
Quantity of Solution B = 100 litre
Quantity of Solution A = 25 litre
CP of 1 litre Solution B = Rs.10
CP of 1 litre Solution A = Rs.5
CP = 100 * 10 + 25 * 5 = 1125
SP = (100 + 25)*10 = 1250
Profit = 1250 – 1125 = 125
% = 125 * 100 / 1125 = 100/9%

A man purchases some apples at the rate of 3 for Rs 4 and same quantity at 4 for Rs 7. If he sells all the apples at the rate of 5 for Rs 9, find his gain or loss percent?
  • a)
    17% loss
  • b)
    17% gain
  • c)
    15% loss
  • d)
    15% gain
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Naroj Boda answered
Let he buys x apples at the rate 4/3 and x apples at the rate of 7/4
so cost price  = 4x/3 + 7x/4 = 37x/12
and selling price = (9/5)*2x = 18x/5
% gain = [(37x/12 – 18x/5)/(37x/12)]*100 = 17% (approx)

Aaradhana buys rice at Rs.10/kg and sell it in order to earn a profit of 40%. However, her faulty balance shows 1000gm when it is actually 800gm. What is her actual gain percentage?
  • a)
    35%
  • b)
    70%
  • c)
    75%
  • d)
    25%
  • e)
    None of the Above
Correct answer is option 'C'. Can you explain this answer?

Ravi Singh answered
Let price of 1 kg rice = Rs.10.
CP of 800 gm rice = Rs.8.
She wants to earn a profit of 40% on per Kg
SP = 10 + 40% of 10 = Rs. 14 per kg.
Faulty balance shows 800 gm = 1000 gm (1 kg)
She sells 800 gm for Rs.14.
Profit = 14 – 8 = Rs. 6.
Profit(%) = 6/8 * 100 = 75%.

The percent profit when an article is sold for rupees 400 is twice than when the same article is sold for 250. The cost price of the article is-
  • a)
    100
  • b)
    150
  • c)
    180
  • d)
    200
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Aarav Sharma answered
Given:
- The selling price of the article is Rs. 400 and Rs. 250.
- The percent profit when the article is sold for Rs. 400 is twice than when it is sold for Rs. 250.

To find:
The cost price of the article.

Assumption:
Let's assume that the cost price of the article is Rs. x.

Calculation:
1. Profit when the article is sold for Rs. 400:
- Selling price = Rs. 400
- Cost price = Rs. x
- Profit = Selling price - Cost price = 400 - x

2. Profit when the article is sold for Rs. 250:
- Selling price = Rs. 250
- Cost price = Rs. x
- Profit = Selling price - Cost price = 250 - x

3. According to the given information, the percent profit when the article is sold for Rs. 400 is twice than when it is sold for Rs. 250. Mathematically,
Profit when sold for Rs. 400 = 2 * Profit when sold for Rs. 250

4. Substituting the values from step 1 and step 2:
400 - x = 2(250 - x)

5. Solving the equation:
400 - x = 500 - 2x
x - 2x = 500 - 400
-x = 100
x = -100

Conclusion:
The cost price of the article cannot be negative. Therefore, the given information or equation does not give a valid solution. The correct answer should be "None of these" as there is no valid cost price that satisfies the given conditions.

A milkman buys some milk. If he sells it at rupees 10 a litre, he losses 800 rupees but when he sells it at 12 a litre, he gains 600 rupees. How much milk did he purchase ?
  • a)
    200 litre
  • b)
    350 litre
  • c)
    500 litre
  • d)
    700 litre
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Aarav Sharma answered
Given, selling milk at Rs.10/litre results in a loss of Rs.800 and selling it at Rs.12/litre results in a profit of Rs.600.

Let's assume the milkman purchased x litres of milk.

Loss incurred when selling at Rs.10/litre = Cost price - Selling price = 0 - 800 = -800

Profit earned when selling at Rs.12/litre = Selling price - Cost price = 600 - 0 = 600

We can write two equations based on the given information:

10x - 800 = 0 (Selling at Rs.10/litre)

12x - 0 = 600 (Selling at Rs.12/litre)

Solving these equations, we get:

x = 700 litres

Therefore, the milkman purchased 700 litres of milk.

By selling 55 meters of cloth a merchant gains the cost price of 11 meters. Find his gain percent?
  • a)
    10%
  • b)
    15%
  • c)
    20%
  • d)
    30%
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Rajeev Kumar answered
55sp – 55cp = 11cp, 55sp = 66cp
let cost price is one rupee, then cp of 55 meter of cloth = 55 and sp of 55 meter of cloth = 66
so % profit = (11/55)*100 = 20%

A dealer sells a goat for rupees 600 and there by gains 20 percent. He sells another goat at 5 percent loss and on the whole there is no loss no profit. Find the cost price of the second goat
  • a)
    1000
  • b)
    2000
  • c)
    3000
  • d)
    4000
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered
Let's assume the cost price of the second goat is x rupees.

Selling the first goat at a 20% profit:

The selling price of the first goat is 600 rupees, which is 120% of the cost price.
So, we can write the equation:

120% of x = 600

Simplifying the equation, we have:

(120/100) * x = 600
1.2 * x = 600
x = 600/1.2
x = 500

Therefore, the cost price of the second goat is 500 rupees.

Selling the second goat at a 5% loss:

Now, let's calculate the selling price of the second goat.
Since the overall transaction results in no loss or profit, the selling price of the second goat should be equal to its cost price.

The selling price of the second goat is 95% of the cost price.
So, we can write the equation:

95% of x = x

Simplifying the equation, we have:

(95/100) * x = x
0.95 * x = x
0.05 * x = 0

This equation implies that the cost price of the second goat is zero, which is not possible. Therefore, there is an error in the given options. The correct answer cannot be determined based on the information provided.

Hence, the correct answer is None of these.

By selling 22 meters of cloth a shopkeeper gains cost price of 4 meter cloth. Find the percent profit/loss occurred by the shopkeeper.
  • a)
    profit 200/9 %
  • b)
    loss 200/11 %
  • c)
    profit 200/11 %
  • d)
    loss 200/11 %
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Vertex Academy answered
You are told that by selling 22 meters of cloth, the shopkeeper gains the cost price of 4 meters.
Step 1: Assume the cost price (CP) per meter is 1 unit (just to make calculations easy).
  • So, the cost price of 22 meters = 22 units.
  • The profit is equal to the cost price of 4 meters = 4 units.
  • Therefore, the selling price (SP) = cost price + profit = 22 + 4 = 26 units.
Step 2: Calculate the profit percentage.
Profit percentage = (Profit / Cost Price) × 100
= (4 / 22) × 100
= 400 / 22
= 200 / 11 percent
So, the shopkeeper makes a profit of 200/11 percent.
The correct answer is c) profit 200/11 %.

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