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All questions of Profit And Loss for CLAT 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

Rahul sells his laptop to Ravi at a loss of 20% who subsequently sells it to Suresh at a profit of 25%. Suresh after finding some defect in the laptop, returns it to Ravi but could recover only Rs.4.50 for every Rs. 5 he had paid. Find the amount of Suresh’s loss if Rahul had paid Rs.50,000 for the laptop ?
  • a)
    Rs.6000
  • b)
    Rs.7000
  • c)
    Rs.2000
  • d)
    Rs.5000
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Ravi Singh answered
Solution:

Given:
- Rahul's cost price of laptop = Rs.50,000
- Rahul sells laptop to Ravi at a loss of 20%
- Ravi sells laptop to Suresh at a profit of 25%
- Suresh returns laptop to Ravi and recovers Rs.4.50 for every Rs.5 he paid

Calculations:
1. Rahul's selling price to Ravi:
- Rahul's selling price = 80% of Rs.50,000 (20% loss)
- Rahul's selling price = Rs.40,000

2. Ravi's cost price of laptop:
- Ravi's cost price = Rs.40,000

3. Ravi's selling price to Suresh:
- Ravi's selling price = 125% of Rs.40,000 (25% profit)
- Ravi's selling price = Rs.50,000

4. Amount recovered by Suresh after returning laptop:
- Amount recovered = Rs.4.50 for every Rs.5 paid
- Amount recovered = Rs.4.50 / Rs.5 = 90% of the cost price

5. Suresh's cost price of laptop:
- Suresh's cost price = Rs.50,000

6. Suresh's loss:
- Suresh's loss = Rs.50,000 - Rs.45,000 (Amount recovered)
- Suresh's loss = Rs.5,000

Therefore, the amount of Suresh's loss is Rs.5,000. So, the correct answer is option D: Rs.5,000.0.50/5 * 50,000 = 5000

A scientist mixes 10% water in his solution but he is not content with it so he again mixes 10% more water in the previous mixture. What is the profit percentage of the scientist if he sells it at cost price:
  • a)
    15%
  • b)
    21%
  • c)
    18%
  • d)
    16%
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Let Initial Quantity of Solution = 100 litre
After mixing 10% water, Quantity of the mixture = 110 * 110 / 100 = 121 litre
CP of One litre of Solution = Rs.1
Total CP = Rs.100
Total SP = Rs.121
Profit = 121 – 100 = 21
Profit % = 21 * 100/100 = 21%

P calculates his profit percent on selling price while Q calculates his profit percent on cost price. They notice that difference between their profits is 1000 rupees. If selling price of both P and Q are same and P gets 40% profit and Q gets 60% profit. Then find their selling price 
  • a)
    77500
  • b)
    40000
  • c)
    97500
  • d)
    10500
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Iq Funda answered
Given:
  • Profit Calculation Methods:
    • P calculates profit on Selling Price (SP).
    • Q calculates profit on Cost Price (CP).
  • Profits:
    • P's profit: 40% of SP.
    • Q's profit: 60% of CP.
  • Difference in Profits: ₹1,000.
  • Selling Price for both P and Q: Same and denoted as S.
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Steps to Calculate the Selling Price
  1. Calculate P's Cost Price (CPP):
    • P's profit is 40% of SP.
    • ProfitP = 0.40 x S
    • CPP = SP - ProfitP = S - 0.40S = 0.60S
  2. Calculate Q's Cost Price (CPQ):
    • Q's profit is 60% of CPQ.
    • ProfitQ = 0.60 x CPQ
    • Selling Price for Q: SP = CPQ + ProfitQ = CPQ + 0.60CPQ = 1.60CPQ
    • Therefore, CPQ = SP / 1.60 = S / 1.60
    • ProfitQ = 0.60 x (S / 1.60) = 0.375S
  3. Set Up the Profit Difference Equation:
    • Difference in profits: ProfitP - ProfitQ = ₹1,000
    • Substitute the expressions for profits:
    • 0.40S - 0.375S = 1,000
    • 0.025S = 1,000
    • S = 1,000 / 0.025 = 40,000
  4. Conclusion:
    • The selling price for both P and Q is ₹40,000.
Final Answer
The selling price for both P and Q is ₹40,000.

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 trader sold an article for rupees 810 after giving a discount of 10 percent on the labelled price and gain 20% percent. What will be the profit percent when the article is sold at labelled price.
  • a)
    100/7 %
  • b)
    100/3 %
  • c)
    200/3 %
  • d)
    200/7 %
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Sagar Sharma answered
To solve this problem, we need to calculate the profit percentage when the article is sold at the labeled price. Let's break down the steps to find the solution:

1. Find the cost price (CP):
We know that the trader sold the article for Rs. 810 after giving a discount of 10%. Therefore, the selling price (SP) is 90% of the labeled price (LP).
SP = LP - (10% of LP)
810 = LP - (0.10LP)
810 = 0.90LP
LP = 810 / 0.90
LP = 900
So, the labeled price (LP) is Rs. 900.

2. Find the profit:
The trader gained 20% on the cost price (CP). To find the profit, we need to calculate 20% of the cost price.
Profit = 20% of CP
Profit = 20/100 * CP
Profit = 1/5 * CP

3. Find the cost price (CP):
To find the cost price (CP), we can use the formula:
SP = CP + Profit
Since the selling price (SP) is the labeled price (LP), we can substitute LP for SP:
LP = CP + Profit
900 = CP + 1/5 * CP
900 = 6/5 * CP
CP = 900 * 5/6
CP = 750

4. Find the profit percentage:
Now that we have the cost price (CP) and the selling price (LP), we can calculate the profit percentage:
Profit Percentage = (Profit / CP) * 100
Profit Percentage = (1/5 * CP / CP) * 100
Profit Percentage = (1/5) * 100
Profit Percentage = 20%

Therefore, the profit percentage when the article is sold at the labeled price is 20%. The correct answer is option 'B' - 100/3%.

A trader gives an additional concession of 35% on an article which is already get discounted by 20% on the marked price. If the buyer pays an amount of 1300 for the article, then the marked price is
  • a)
    2200
  • b)
    2500
  • c)
    2600
  • d)
    2700
  • e)
    None of thes
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered
Given Information:
- The trader gives an additional concession of 35% on an article.
- The article is already discounted by 20% on the marked price.
- The buyer pays an amount of 1300 for the article.

To Find:
The marked price of the article.

Solution:

Let's assume the marked price of the article is 'x' dollars.

Step 1: Discount on the Marked Price:
The article is already discounted by 20% on the marked price. Therefore, the selling price after the 20% discount will be:
x - (20/100)x = (80/100)x = 0.8x dollars.

Step 2: Additional Concession:
The trader gives an additional concession of 35% on the selling price after the 20% discount. Therefore, the selling price after the additional concession will be:
0.8x - (35/100)(0.8x) = 0.8x - 0.28x = 0.52x dollars.

Step 3: Selling Price:
The buyer pays an amount of 1300 for the article. Therefore, we can equate the selling price to 1300 and solve for 'x':
0.52x = 1300
x = 1300 / 0.52
x ≈ 2500

Therefore, the marked price of the article is approximately 2500 dollars.

Conclusion:
The marked price of the article is option 'B' - 2500 dollars.

If the Cost Price of 25 articles is equal to the Selling Price of 20 articles, then what is the gain %?
  • a)
    25%
  • b)
    29%
  • c)
    50%
  • d)
    40%
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Aarav Sharma answered
Given:
- Cost Price of 25 articles = Selling Price of 20 articles

To find:
- Gain %

Solution:
To find the gain %, we need to find the profit and then calculate the profit %.

Step 1: Finding the Profit:
Let's assume the cost price of each article is 'x' and the selling price of each article is 'y'.

- Cost Price of 25 articles = 25x
- Selling Price of 20 articles = 20y

Given that the cost price of 25 articles is equal to the selling price of 20 articles:
25x = 20y

Step 2: Solving the Equation:
To solve the equation, we need to find the relation between 'x' and 'y'. Let's assume the relation is 'a'.

x = ay

Substituting the above relation in the equation 25x = 20y:
25(ay) = 20y
25a = 20
a = 20/25
a = 4/5

So, the relation between 'x' and 'y' is x = (4/5)y.

Step 3: Calculating the Gain %:
Profit = Selling Price - Cost Price
Profit = 20y - 25x
Profit = 20y - 25(4/5)y
Profit = 20y - 20y
Profit = 0

Since the profit is 0, the gain % is also 0.

The correct option is (A) 0%, not 25%.

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