All questions of Profit and Loss for Mechanical Engineering 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 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)

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

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 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%

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%.

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