Profit and Loss Aptitude Questions with Solution

   Profit and Loss Aptitude Questions with Solution

Introduction

In this tutorial we see all important example on profit and Loss regarding to MNC companies placement which helps to crack the aptitude test of placement.

In this tutorial we cover all the important examples with solutions which mostly asked in top MNC companies placement questions of aptitude.

All the important topic of aptitude we try to cover so here we cover one of the important topic.

Our other aptitude important topic time and work is already posted please visit and practice the all important example which we provide it should definitely help to crack the exam.

All important question with solutions for placement are below 

Important Formulae 

A.If we want to find out the Gain then we use following formula.

1.Gain = (S.P.) - ( C.P.)

Here SP is selling price

And  CP is cost price

2.If we want to find out Gain% then use below formula

Gain% = (Gain×100/C.P)

B.To find loss formula is

1.Loss = (C.P.) - (S.P.)

2.To find out loss %

Loss%=( Loss×100/C.P.)

C.If we find out S.P (selling price) in Gain then use below formula

S.P.= (100+Gain%)/100×C.P.

D.If we find out S.P (selling price)in Loss then use below formula

S.P.= (100 - Loss%)/100×C.P.

E.If we find out C.P (Cost Price) in Gain then use below formula

C.P.= (100/100+Gain%)×S.P.

F.If we find out C.P (Cost Price) in Loss then use below formula

C.P.= (100/100 - Loss%)×S.P.

Following are some point we should understand 

1.Suppose if an news paper sold at gain if say it 45% ,then we say 

S.P. =145% of C.P.

2.Suppose if an news paper sold at loss if say it 45% ,then we say 

S.P. =55% of C.P.

3.If we can say some person sells two similar products  then one at a gain of say it x% and the other at a loss of x%,then the seller always incurs a loss given by 

Loss% = (Common loss and gain%/10)^2

            =  (X/10)^2

   

Important Examples With Solution 

 

Example1. A person buys an article for Rs.27.50 and then sell that article in Rs.28.60 find his gain percent?

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As per questions we take

C.P. = Rs. 27.50  (C.P is cost price)

S.P = Rs. 28.60( S.P is selling price)

Gain % formula

Gain% = (Gain×100/C.P)

Here we first find out the Gain

Gain = (S.P.) - ( C.P.)

Gain= Rs ( 28.60-27.50)

        =Rs. 1.10

Then here we calculate the Gain %

Gain% = (Gain×100/C.P)

∴ Gain% =(1.10/27.50 ×100)%

Ans-            Gain% is 4%

Example 2. If product is purchased for Rs.490 and then it sold in Rs.465.50 ,find the loss%

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As per questions we take

C.P. = Rs. 490  (C.P is cost price)

S.P = Rs. 465.50 ( S.P is selling price)

Loss % formula

Loss%=( Loss×100/C.P.)

Here we first find out the Loss

Loss = (C.P.) - (S.P.)

Loss= Rs. ( 490-465.50)

        =Rs.24.50.

Then here we calculate the Gain %

Loss%=( Loss×100/C.P.)

∴ Loss% =(24.50/490 ×100)%

 Ans-     Loss% is 5%

Some Examples To Find Out S.P (Selling Price) in Gain and Loss Condition

Example 1. If C.P is Rs.56.25 and Gain = 20% then find out S.P.

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Here we use S.P formula in Gain condition

S.P.= (100+Gain%)/100×C.P.

= {(20+100)/(100)×56.25}

= 120/100×56.25 

Ans-      S.P. is Rs.67.50

Example 2.If we give a C.P is Rs.80.40 and Loss = 5% then find out S.P.

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Here we use S.P formula in Loss condition

S.P.= (100 - Loss%)/100×C.P.

Here 85% of Rs.80.40

∴ S.P.= Rs.{(85)/(100)×80.40}

= Rs.68.34

Ans-       S.P. is Rs.68.34

Examples To Find Out C.P (Selling Price) in Gain and Loss Condition

Example 1. If S.P. is 40.60 and Gain is given 16% then find out C.P.?

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Here we find C.P (Cost Price) in Gain

C.P.= (100/100+Gain%)×S.P.

∴ C.P.=Rs.{(100/100+16%)}×40.60.

∴ C.P.=Rs.{(100/116)}×40.60.

∴ Ans-      C.P. is Rs.35

Example 2.If S.P. is Rs.51.70 and Loss is 12% then in this  condition what is Loss?

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Here we find C.P (Cost Price) in Loss 

C.P.= (100/100 - Loss%)×S.P.

∴ C.P.=Rs.{(100/100-12%)}×51.70.

∴ C.P.=Rs.{(100/88)}×51.70.

∴ Ans-      C.P. is Rs.58.75

Examples To Find Profit,Loss%,profit% etc.

Example 1.If person having 5% of loss by selling fan for Rs.1140.We find out the price at which he should sold the fan to gain 5% profit?

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Let we assume the new S.P. is x

In question there is S.P is  Rs.1140

So,here we use a formula

(100 - loss%) : (1st S.P.)  =  (100 - gain%) : (2st S.P.) 

∴ (100 - 5/1140) = (100+5/x)

∴ x = (1140 × 105/95)

∴ x = 1260

∴ Ans    Here we say that new S.P. is Rs.1260

Example 2.If book is sold for Rs.27.50 with the profit of 10% .If the same book is sold in Rs.25.75,So here we find % of profit or Loss ? 

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Here,S.P is Rs.27.50  and there profit is 10%

So,here we find out C.P.

C.P.= (100/100+Gain%)×S.P.

∴ C.P. = Rs.(100/110 × 27.50)

∴  Ans    C .P.= Rs.25

 

Now in S.P is 25.70 

Gain = (S.P. -  C.P.)

Gain = 25.70- 25

Gain = Rs.0.75

Now here we find out profit %

Profit% = (Gain×100/C.P)

Profit% = (0.75/25 × 100)

∴Ans    Profit% = 3%

Example 3.Cost price is 95% of selling price,then find out the  profit%  ?

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Here Cost price is Rs 95.

         

          Then let we assume selling price is Rs 100

So, Profit = SP -CP

      Profit = Rs 100 - 95

∴  Profit = Rs 5 .

Now here we find out profit %

Profit% = (Gain×100/C.P)

Profit% = (4/95× 100)%

∴Ans    Profit% = 4.21%

 

 Example 4. The cost price of 22 pen is equal to the selling price of 20 pens. Calculate the gain or loss percentage?

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Here we assume that the C.P of each pen is Rs 1.

Then,Find out C.P of 22 pen = Rs.20 and S.P of 20 pens = Rs 22

 

∴ Gain % = (2/20 × 100) %

     ∴Ans     Gain %  =10%

Problems for Practice

1.A Man purchased 70kg of tomato for Rs 420 and then sold all tomato at rate of Rs. 6.50 per kg find out the Gain%

Options

1) 4(1/6)%

2)6(1/4)%

3) 8(1/3)%

4) 20%

Answer.    Option 3

2.A women purchased a scooty for Rs. 4700 and to repair required Rs 800. after this women sell the scooty at Rs. 5800 what is gain %  ?

Options

1) 4(4/7)%

2) 5(5/11)%

3) 10 %

4) 120%

Answer.    Option 2

3.A women bought bananas at Rs.10 and sold them at 4 Bananas at Rs 6.Find the gain or loss %  ?

Options

1) 20%

2) 30%

3) 10 %

4) 12%

Answer.    Option 3

4.A girl purchased a 3 chocolate for Rs.1 rupees find out how many for rupees must he sell to gain 50% ?

Options

1) 1Rs.

2) 5 Rs.

3) 10 Rs.

4) 2 Rs.

Answer.    Option 4

5.Selling price of an popular article is Rs 616.Tax rate is 10%.If the shopkeeper made profit of 12%,find out the cost price of popular article ?

Options

1) 600 Rs.

2) 615 Rs.

3) 700 Rs.

4) 500 Rs.

Answer.    Option 4

6.When material is sold for Rs 34.80 and loss 2% .Then what is the cost price of that material?

Options

1) 10.45 Rs.

2) 46.40 Rs.

3) 50 Rs.

4) 26.10 Rs.

Answer.    Option 2

7.Sunil buy a two wheeler for certain sum of money.For this he spent 10% of to repair and sold the two wheeler and make profit of Rs.1100.Calculate the how much did he spend on repair if he made a profit of 20%.

Options

1) 400 Rs.

2) 4500 Rs.

3) 500 Rs.

4) 550 Rs.

Answer.    Option 3

8.A man is sold a plot for Rs 18,700 that time he loses 15%.Calculate at which price must the plot be sold in order to gain 15%

Options

1) 22,500 Rs.

2) 21,000 Rs.

3) 25,000 Rs.

4) 25,300 Rs.

Answer.    Option 4

9.The ratio of cost price and selling price is 4:5 calculate profit%.

Options

1) 30%

2) 25 %

3) 10 %

4) 20%

Answer.    Option 2

10.The man gain 20% by selling article for a certain price.If he sell this article at double price calculate percentage of profit?

Options

1) 140

2) 120

3) 100

4) 40

Answer.    Option 2

11.The cost price of paper 40% of selling price calculate the percentage that the S.P of C.P is is ?

Options

1) 40

2) 240

3) 250

4) 60

Answer.    Option 3

12.The ratio of cost price and selling price is 2:7 calculate profit%.

Options

1) 245%

2) 250%

3) 300 %

4) 200%

Answer.    Option 2

13.Cost price is 97% of selling price,then calculate the  profit percentage ?

Options

1) 4.12 %

2) 2.21 %

3) 5.12 %

4) 5 %

Answer.    Option 1

 14 .The cost price of 23 article is equal to the selling price of 18 article. Calculate the gain or loss percentage?

Options

1) 11 %

2) 12 %

3) 10 %

4) 9 %

Answer.    Option 1

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