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

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A trader gains 10% while buying the goods and gains 20% while selling the goods. Find the gain percent of the trader.
  • a)
    30
  • b)
    31
  • c)
    32
  • d)
    34
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Faizan Khan answered
  1. Traders gain 10% on buying means an article cost 110rs, he buy it for 100.
    Now he sell it for 20% profit means 110*(120/100) = 132. So gain% is 32.
 

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?

Preeti Khanna 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)

A dealer sold two ACs at Rs. 5940 each. On selling one AC he gained 10% and on selling the other he lost 10%. Find the dealer’s gain or loss percent?
  • a)
    1% gain
  • b)
    1% loss
  • c)
    2% loss
  • d)
    2% gain
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered
's overall profit or loss percentage.

Let the cost price of each AC be x.
Selling price of one AC = x + 10% of x = 1.1x
Selling price of the other AC = x - 10% of x = 0.9x

As both ACs are sold at Rs. 5940 each, we can form the following equation:

1.1x + 0.9x = 11880
2x = 11880
x = 5940

So, the cost price of each AC is Rs. 5940.

Now, let's calculate the dealer's profit or loss on each AC:

Profit on one AC = Selling price - Cost price = 1.1x - x = 0.1x
Profit on the other AC = Selling price - Cost price = 0.9x - x = -0.1x (as the dealer incurred a loss)

Overall profit or loss = Total profit / Total cost price

Total profit = 0.1x + (-0.1x) = 0
Total cost price = 2x = 2 * 5940 = 11880

Overall profit or loss percentage = (Total profit / Total cost price) * 100
= (0 / 11880) * 100
= 0%

Therefore, the dealer neither made a profit nor incurred a loss.

Shopkeeper purchased some goods for Rs.900 and sold one-third of the goods at a loss of  what 12%, then at gain % should the remainder goods he sold to gain 18% profit on the whole transaction ?
  • a)
    31%
  • b)
    26%
  • c)
    33%
  • d)
    18%
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Aarav Sharma answered
Given:
- Cost price of goods = Rs. 900
- One-third of the goods sold at a loss of 12%

To find:
- The gain percentage at which the remaining goods should be sold to gain an 18% profit on the whole transaction

Solution:

Let's calculate the selling price of one-third of the goods sold at a loss of 12%.

Step 1: Calculate the selling price of one-third of the goods at a loss of 12%
- Loss percentage = 12%
- Selling price = Cost price - Loss
- Loss = (Loss percentage/100) * Cost price
- Loss = (12/100) * 900
- Loss = 108
- Selling price = 900 - 108
- Selling price = 792

Now, let's calculate the cost price of the remaining goods.

Step 2: Calculate the cost price of the remaining goods
- Cost price = Total cost price - Cost price of goods sold
- Cost price of goods sold = Selling price of goods sold at a loss
- Cost price of goods sold = 792

- Cost price = 900 - 792
- Cost price = 108

Now, let's calculate the selling price of the remaining goods to gain a 18% profit on the whole transaction.

Step 3: Calculate the selling price of the remaining goods to gain a 18% profit
- Profit percentage = 18%
- Selling price = Cost price + Profit
- Profit = (Profit percentage/100) * Cost price
- Profit = (18/100) * 108
- Profit = 19.44
- Selling price = 108 + 19.44
- Selling price = 127.44

Now, let's calculate the gain percentage.

Step 4: Calculate the gain percentage
- Gain = Selling price - Cost price
- Gain = 127.44 - 108
- Gain = 19.44

- Gain percentage = (Gain/Cost price) * 100
- Gain percentage = (19.44/108) * 100
- Gain percentage ≈ 18%

Therefore, the shopkeeper should sell the remaining goods at a gain of approximately 18% to gain an 18% profit on the whole transaction.

Answer:
The correct option is c) 33%.

Vinod incurred a loss of 45 per cent on selling an article for Rs. 3740. What was the cost price of the article.
  • a)
    Rs. 5725                   
  • b)
    Rs. 5080
  • c)
    Rs. 6250                   
  • d)
    Rs. 6400  
  • e)
    None of these
Correct answer is 'E'. Can you explain this answer?

Aarav Sharma answered
Given:
Selling price of an article = Rs. 3740
Loss percentage = 45%

To find:
Cost price of the article

Let the cost price of the article be x.

We know that the selling price of an article is given by:
Selling price = Cost price + Profit or Loss

As Vinod has incurred a loss of 45%, his selling price is only 55% of the cost price.
Hence, we can write:

Selling price = 55% of Cost price
⇒ 3740 = 0.55x

Solving the above equation for x, we get:
x = 6800

Therefore, the cost price of the article is Rs. 6800.

The correct answer is 'Option E' (None of these).

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?

Aarav Sharma answered
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%

A person sold a pen at Rs. 96 in such a way that his percentage profit is same as the cost price of the watch. If he sells it at twice the percentage profit of its previous percentage profit then new selling price will be?
  • a)
    Rs.132
  • b)
    Rs.150
  • c)
    Rs.192
  • d)
    Rs.180
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Aarav Sharma answered
Given, selling price of pen = Rs. 96
Let the cost price of pen be x

Profit% = (SP - CP)/CP * 100
According to the question, profit% = x

⇒ (96 - x)/x * 100 = x
⇒ 96 - x = x^2/100
⇒ x^2 + 100x - 9600 = 0
⇒ x = 80 (neglecting the negative value)

Therefore, the cost price of the pen is Rs. 80.

Now, let the new selling price be y.
Profit% = x (given)
New profit% = 2x

⇒ (y - 80)/80 * 100 = 2x
⇒ y - 80 = 160x/100
⇒ y = 80 + 1.6x
⇒ y = 80 + 1.6(80) = Rs. 132

Hence, the new selling price of the pen is Rs. 132. Therefore, option A is the correct answer.

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%.

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%

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