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All questions of Profit & Loss for DSSSB TGT/PGT/PRT 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

The marked price of a book is Rs. 160 and it is sold for Rs. 136. What was the rate of discount.
  • a)
    15%                         
  • b)
    20%
  • c)
    12%                         
  • d)
    25%
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Cost price of book= 160
selling price of book=136

now, rate of discount = loss % (as discount only leads to some kind of loss)

so CP > SP
so loss = CP - SP = 160-136 = 24

loss % = ( loss / CP ) ÷ 100
=( 24 / 160 ) ÷ 100
= 15 %

So rate of discount = 15%

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%

By selling an article for Rs. 480 a person lost 20%. For how much should he sell it to make a profit of 20%.
  • a)
    Rs. 800                     
  • b)
    Rs. 760
  • c)
    Rs. 720                     
  • d)
    Rs. 680
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Anaya Patel answered
The correct option is C.
To make a profit of 20%, he has to sell the article for Rs. 720.
When he sold it for 480 he had lost 20%. So 80% of the actual price is 480. Hence the actual price of the article is (480×100÷80) = 600. To make a profit of 20% we have to calculate 120×600÷100=720.

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)

Anu sold 2 books at Rs. 1.40 each. Her profit on one was 20% and her loss on the other was 20%. Then she made
  • a)
    No loss no gain                     
  • b)
    gained 20 paise
  • c)
    lost 12 paise             
  • d)
    lost 20 paise
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

It the SP for both the Items is same and
there is a profit of x% and a loss of x%,
then the resultant loss = x²/100%
So, the resultant loss = 4%.
Total SP = 2.80, which is equal to 96% of CP of 2 books.
.: CP of 2 books = 2.80 × 100/96 = 2.92 (Appx);
:. Loss = 2.92 – 2.80 = .12 = 12 paise.

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%.

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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