RRB NTPC - Profit and Loss

1.

If the selling price of 16 items is same as the cost price of 20 items, then there is a 

   A.) loss of 20%
   B.) loss of 25%
   C.) gain of 20%
   D.) Gain of 25%

Answer: Option 'A'

Here the loss = 4 items out of 20 items; So the loss percent = 4× 100/20 = loss of 20%.

2.

Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?

   A.) 1400
   B.) 1505
   C.) 1055
   D.) 1005

Answer: Option 'C'

Cost of 8 kg grapes = 70 × 8 = 560.
Cost of 9 kg of mangoes = 55 × 9 = 490.
Total cost he has to pay = 560 + 490 = 1055.

3.

The marked price of an article is 200. A discount of 12 ½% is allowed on the marked price and a profit of 25% is made. The cost price of the article is 

   A.) 200
   B.) 175
   C.) 120
   D.) 140

Answer: Option 'D'

The SP = 200 – 12 ½% of 200 = 175 = 125% of the CP;
:. CP = 175 ×100/125 = 140

4.

If the cost price of 12 oranges is equal to selling price of 10 oranges, then the percentage of profit is 

   A.) 16 2/3%
   B.) 20%
   C.) 18%
   D.) 25%

Answer: Option 'B'

The profit is 2 oranges when selling 10 oranges,
So, percentage of profit = 2 × 100/10 = 20%.

5.

A person sold 3/5 of a consignment at a profit of 35% and the rest at a loss of 25%. If there was an overall profit of 715, what is the actual cost of the consignment?

   A.) 6000
   B.) 6300
   C.) 6500
   D.) 7000

Answer: Option 'C'

Let the total CP = ‘x’
Then first SP = 3x/5 × 135/100 = 81x/100
And the second SP = 2x/5 × 75/100 = 30x/100
:. Total SP = 81x/100 + 3x/100 = 111x/100.
SP – CP = profit, So, 111x/100 – x = 715
i.e 11x = 71500 and so, x = 71500/11 = 6500

6.

Gina invests Rs.48000/- to start a business, 4 months later Shrayon joins her by investing Rs.62000/- and another two months later Deepika joins them both by investing Rs.80000/-. At the end of one year thebusiness earns a profit of Rs.20661/-. What is Deepika’s share in the profit? 

   A.) Rs.7668/-
   B.) Rs.6603/-
   C.) Rs.7240/-
   D.) Rs.6390

Answer: Option 'D'

Ratio of investments & Profits 
Gina      = 48000 x 12  = 36
Shrayon =  62000 x 8  = 31
Deepika = 80000 x 6   = 30
Sum of Ratio =97
:. Share of Deepika = 20661 x 30/97 = Rs.6390.

7.

A discount of 14% on the marked price of an article is allowed and then the article is sold for Rs.387. The marked price of the article is 

   A.) Rs.450
   B.) Rs.427
   C.) Rs.500
   D.) Rs.440

Answer: Option 'A'

The selling price is 86% of the marked price and is = Rs.387.
So, The marked price = 387 × 100/86 = Rs.450.

8.

A man bought articles 3 for 1 rupee how many articles sells for 1 rupees gained 50% 

   A.) 1
   B.) 2
   C.) 3
   D.) 4

Answer: Option 'B'

2

9.

A man sells an article at 10% gain. Had be sold at for Rs.60/- more he could have gained 20% what is cost price of article

   A.) Rs.500/-
   B.) Rs.600/-
   C.) Rs.700/-
   D.) Rs.800/-

Answer: Option 'B'

First selling price = 110 % -----> X Rupees 
=sold at for Rs.60/- = 120 % -----> X + 60 Rupees 

                          ~
----------------------------------------------
         10 % --------> 60
         100 % ------->Rs.600/- 
OR 
Short cut method : 
---------------------------
Profit,Profit = - 
Ptofit,Loss = + 
Loss,Loss = - 
Loss,Profit = + 
---------------------------
OPPOSITE ==> + 
SAME ===> - 
----------------------------
Profit ==> 10 % 
profit ==> 20% 
       ~
----------------
       10 % ---------> 60
       100 % --------> Rs.600/-

10.

The owner of an electronic store charges his customer 9% more than the cost price. If a customer paid 1,26440 for an LED T.V., then what was the original price of the T.V.? 

   A.) 116000
   B.) 114700
   C.) 117500
   D.) 118200

Answer: Option 'A'

Selling Price = 109% of CP;
:. CP = 126440 × 100/109 = 116000.

11.

On selling an item for 276 a person gains 15%. In order to gain 35%, what should be the increase in its selling price?

   A.) 42
   B.) 44
   C.) 46
   D.) 48

Answer: Option 'D'

i.e. 115 % of CP = SP = 276
CP = 276 × 100/115 = 240
35% of 240 = 84.
:. Required increase in selling price = 324 – 276 = 48

12.

A book-seller bought 200 textbooks for 12000. He wanted to sell them at a profit so that he got 20 books free. At what profit per cent should he sell them? 

   A.) 10
   B.) 11 1/9 %
   C.) 11
   D.) 11.1

Answer: Option 'B'

Here, the profit = CP of 20 books out of 180 books and
now the CP of 180 books = 12000.
:. The profit percent = 20 × 100/180 = 11 1/9 %

13.

Amit purchased a book with a 10% discount on the labeled price. How much did he pay if the labelled price was 600? 

   A.) 480
   B.) 360
   C.) 540
   D.) 340

Answer: Option 'C'

Selling Price = 600 – 10% of 600 = 600 – 60 = 540.

14.

A man sells two tables at the same price. On one he makes a profit of 10% and on the other he suffers a loss of 10%. His loss percent on the whole transaction is 

   A.) 0
   B.) 1
   C.) 2
   D.) 3

Answer: Option 'B'

Note: If there is an increase and decrease same percent, say,”a%” then there is always a loss of a²/100.
Therefore, in this problem, a = 10, and therefore, loss percent = 10²/100
= 1% loss.

15.

If cost price is 80, overhead is 20 and selling price is 120, then the profit per cent is 

   A.) 20%
   B.) 50%
   C.) 40%
   D.) 30%

Answer: Option 'A'

The CP = 80 + 20 = 100.
The SP = 120; and the profit = 120 – 100 = 20 i.e. = 20%

16.

Sonika spent Rs. 45760 on the interior decoration for her home, Rs.27896 on buying Air conditioner and the remaining 28% of the total amount she had as cash with her. What was the total amount? 

   A.) 98540
   B.) 102300
   C.) 134560
   D.) None of these

Answer: Option 'B'

The Total expense = 45760 + 27896 = 73656 = 72% of the Total amount.
:. Total amount = 73656 × 100/72 = 102300.

17.

The selling price of 5 articles is the same as the cost price of 3 articles. The gain or loss is 

   A.) 20% gain
   B.) 25% gain
   C.) 33.33% loss
   D.) 40% loss

Answer: Option 'D'

There is a loss. Percentage of loss = 5 – 3/5 × 100 = 40%.

18.

Raghavan purchased a scooter at 13/15th of its selling price and sold it at 12% more than its selling price. His gain is

   A.) 20%
   B.) 30%
   C.) 38 1/13%
   D.) 29 3/13%

Answer: Option 'D'

Let the SP = 30000
Then CP = 30000 × 13/15 = 26000
Raghavan’s SP = 30000 +12% 0f 30000 = 33600
So, his actual gain = 7600 and the gain per cent = 7600 ×100/26000 = 29 3/13%

19.

A television is brought for 13600 and sold at 15980. What is the gain per cent? 

   A.) 12.5%
   B.) 15%
   C.) 17.5%
   D.) 18.5%

Answer: Option 'C'

CP = 13600;          SP = 15980
Profit/ gain = 15980 – 13600 = 2380.
Gain percent = 2380 × 100/13600 = 17.5%.

20.

The marked price of a pen is Rs.60. After allowing a discount 10%, the merchant makes a profit of 20%. What is the cost price of the pen? 

   A.) Rs.40
   B.) Rs. 60
   C.) Rs. 70
   D.) Rs.45

Answer: Option 'D'

The discounted price = Rs. 54 which is 120% of CP; :. CP = 54 × 100/120 =Rs.45.


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