Processing math: 100%
Sawaal

 Profit and Loss Questions

Popular Latest Rated Important Formulae

FACTS  AND  FORMULAE  FOR  PROFIT  AND  LOSS  QUESTIONS

 

 

Selling Price (SP) : The price at which the shopkeeper sells the goods is called the selling price (SP) of the goods sold by the shopkeeper.

 

Profit : If the selling price of an article is more than its cost price, then the dealer (or shopkeeper) makes a profit (or gain)

i.e Profit = SP - CP;       SP > CP

 

Loss : If the selling price of an article is less than its cost price, then the dealer suffers a loss.

i.e loss = CP - SP;        CP > SP

 

IMPORTANT FORMULAE


1. Profit percentage = (ProfitC.P×100)

 

2. Loss percentage = (LossC.P×100)

 

3.S.P=[100+Gain %100×C.P] = [100-Loss%100×C.P]

 

4. C.P=[100100+Gain %×S.P] = [100100-Loss %×S.P] 

5. If an article is sold at a gain of say 35%, then SP = 135% of CP

6. If an article is sold at a loss of say 35%, then SP = 65% of CP

7. When a person sells two similar items, one at a gain of say 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=(x10)2

 

8. If a trader Professes to sell his goods at cost price, but uses false weihts, then 

Gain % =[ErrorTrue Value - Error×100]%

Q:

Marked price of an article is 1600 Rs. more than the cost price. When the same article is sold at a discount of Rs. 500 then the percent profit earned is 25%. For earning a profit of 30%, the article should be sold at what price?

A) 5740 B) 5720
C) 5620 D) 5730
 
Answer & Explanation Answer: B) 5720

Explanation:

Ans. B.
According to the question ,
Marked Price = 1600 + Cost price - (i)
MP – 500 = 125/100 * CP - (ii)
MP = 5/4 CP + 500 - (ii)
4MP = 5CP + 2000 -(ii)
Solving (i) and (ii)
Cost Price = 4400
Now , the selling price
= 130/100 * 4400
= 5720

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , GATE

1 4445
Q:

Shamma lends Rs.40,000 to two of her friends. She gives Rs.24,000 to the first at 8% p.a. simple interest. Shamma wants to make a profit of 10% on the whole. The simple interest rate at which she should lend the remaining sum of money to the second friend is:

A) 13% B) 8.5%
C) 9.5% D) 11.25%
 
Answer & Explanation Answer: A) 13%

Explanation:

The ratio of money she lended is

24000 : 16000 = 3 : 2

Let the rate of interest be R%

 

8%                   R%
     

           10

 

3          :           2

 

R = 13%.

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration

10 4425
Q:

On selling 17 balls at Rs.720 there is a loss equal to the cost price of 5 balls. Then what is the cost price of a ball is ?

Answer

From given data,


(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)


C.P. of 12 balls = S.P. of 17 balls = Rs.720.


Hence, C.P. of 1 ball = Rs.720/12 = Rs. 60.

Report Error

View answer Workspace Report Error Discuss

Subject: Profit and Loss Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

11 4417
Q:

Rishi bought 30 kg of sugar at the rate of Rs. 9 per kg and 45 kg of sugar at the rate of Rs. 10 per kg. He mixed both type of sugar and sold the mixture at the rate of Rs. 9.75 per kg. What was his gain or loss in the selling of whole sugar?

A) Rs. 10.75 B) Rs. 11.25
C) Rs. 12 D) Rs. 13.50
 
Answer & Explanation Answer: B) Rs. 11.25

Explanation:

Total quantity of sugar = 45 + 30 = 75

Gain or loss can be calculated as

9.75 x 75 - (30 x 9 + 45 x 10)

= 731.25 - 720

= 11.25

 

Hence, in the overall transaction, Rishi got Rs. 11.25 gain.

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

7 4399
Q:

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ?

A) 60% B) 50%
C) 70% D) 45%
 
Answer & Explanation Answer: C) 70%

Explanation:

Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295

Required percentage = (295/420) * 100
= 70%(approx)

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk

2 4348
Q:

Manisha went to shop with certain amount, with which she can buy 50 Chacobar or 40 Fivestar. She uses 10% amount for petrol and out of the remaining balance, she purchases 20 Fivestar and some Chacobar. Find the number of Chacobar she can buy?

A) 20 B) 24
C) 26 D) 28
 
Answer & Explanation Answer: A) 20

Explanation:

Let the total amount be 200 {L.C.M of 40 and 50}

Chacobar C.P. = 200/50 = 4

Fivestar C.P = 200/40 = 5

Remaining Money after petrol = [200 - 200×10%] = 180

Remaining money after buying fivestars = [180 - 20×5] = 80

So number of Chacobar she can buy = 80/4 = 20

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

17 4226
Q:

In a business, A invested 1200 rs. more than B. B invested his amount for 15 months while A invested for 4 months more than that of B. If total profit was 1240 rs. in which the profit of B is 280 Rs. less than that if A. then what was the invested amount of A?

A) 6000 B) 7000
C) 5000 D) 8000
 
Answer & Explanation Answer: A) 6000

Explanation:

Ans. 
Let B’s investment = x rs.
∴ A’s investment =( x + 1200) rs.
Ratio of the profits of A and B = (x+1200)*(15+4):x*15 = {19(x+1200)}:15x
Now,let the total profit of A =y
∴ total profit of B = (y-280)
But total profit = 1240
⇒y+(y-280)=1240
⇒2y=1520
⇒y= 760
∴profit of A = 760rs.
Profit of B = 760-280=480 rs.
Ratio of profits= 760:480 = 19:12
According to the question,

19(x+1200)/15x = 19/12

12x+14400 = 15x

⇒3x = 14400
⇒x = 4800 rs.
⇒investment of A = 4800+1200
                          = 6000 rs.

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , GATE

3 4103
Q:

A man purchased a bullock and a cart for Rs 1800. He sold the bullock at a profit of 20% and the cart at a profit of 30%.His total profit was 155/6 %. Find the cost price of bullock.

A) Rs 650 B) Rs 750
C) Rs 900 D) Rs 800
 
Answer & Explanation Answer: B) Rs 750

Explanation:

CP of bullock and cart = 1800

Let price of bullock be x and cart be (1800 –x)

SP of bullock and cart = 1800 + 155/6 X 1800 = 2265

Also, 1.2x + 1.3 (1800 –x) = 2265

⇒1.2x –1.3x = -75

⇒x = 750

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: Bank Exams

2 4086