All Exams  >   Interview Preparation  >   Quantitative Aptitude (Quant)  >   All Questions

All questions of Profit, Loss and Discount for Interview Preparation Exam

A sells a car to B at 10% loss. If B sells it for Rs. 54000 and gains 20%, the cost price of the car for A was
a)Rs. 25000
b)Rs. 50000
c)Rs. 37500
d)Rs. 60000
Correct answer is option 'B'. Can you explain this answer?

Gaurav Datta answered
Selling price of the car = Rs.54,000
gain 20%
Friend's cost price of the car = Rs. 54000 x 100/120 = Rs.45,000
Now selling price of the car of the first owner Rs.45000
Loss 10%
Cost price of the car = 45000 x 100/90
= Rs.50,000

John buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, what is his gain percent ?
  • a)
    12%
  • b)
    10%
  • c)
    4 + 4 / 7%
  • d)
    5 + 5 / 11%
Correct answer is option 'D'. Can you explain this answer?

Whenever we get this type of question, we should have formula in mind that,
Gain% = (gain/cost) x 100

Cost = 4700 + 800 = Rs. 5500
S.P. = Rs. 5800

Profit = 5800 - 5500 = 300

Sunny marks up his goods by 40% and gives a discount of 10%. Apart from this, he uses a faulty balance which reads 800 gms for 1000 gms. What is his net profit/ loss percentage?
  • a)
    37.5%
  • b)
    57.2%
  • c)
    8%
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Ravi Singh answered
Since he sells the goods at a discount the selling price will be (40% - 10%) = 30% profit.
The profit is 30%.
Lets take the buying price as x.
The profit on the 1000g rather 1 kg will be 30% of x.
This gives us 0.3x
In reality this is the profit for 800 g.
The profit he gets for 1000g will be :
1000/800 × 0.3x = 0.375x
To change this to percentage it becomes :
0.375x/x × 100% = 37.5
The overall percentage profit gained by the seller will be given as : 37.5%

A man sells a TV set for Rs. 33000 and makes a profit of 10%. He sells another TV at a loss of 20%. If on the whole, he neither gains nor loses, find the selling price of the second TV set.
  • a)
    Rs.15,000 
  • b)
    Rs.30,000
  • c)
    Rs.12,000
  • d)
    Rs.27,000
Correct answer is option 'C'. Can you explain this answer?

Aarav Sharma answered
Given:
Selling price of first TV set = Rs. 33000
Profit earned on first TV set = 10%

To find: Selling price of the second TV set

Let's assume the cost price of the first TV set = x
Profit earned on the first TV set = 10%
Therefore, selling price of the first TV set = x + 0.1x = 1.1x
Selling price of the first TV set = Rs. 33000
So, 1.1x = 33000
x = 30000

Cost price of the second TV set = y
Loss incurred on the second TV set = 20%
Therefore, selling price of the second TV set = y - 0.2y = 0.8y

Now, let's assume that the man sells the second TV set at a selling price of z.
Total selling price of both the TV sets = 33000 + z
Total cost price of both the TV sets = 30000 + y

It is given that the man neither gains nor loses on the whole, i.e., total selling price = total cost price
33000 + z = 30000 + y + 0.8y
33000 + z = 38000 + 0.8y
z = 38000 - 0.8y

Substituting the value of z in the above equation, we get:
33000 + 38000 - 0.8y = 30000 + y
71000 - 0.8y = 30000 + y
71000 = 1.8y
y = 71000/1.8
y = 39444.44

Selling price of the second TV set = 0.8y = 0.8 x 39444.44 = Rs. 31555.56

Therefore, option (c) Rs. 27,000 is incorrect and the correct answer is option (a) Rs. 15,000.

E sold at table to R at a profit of 25%.R sold the same table to S for Rs. 90 thereby making a profit of 20%. Find the price at which E bought the table from Z if it is known that Z gained 25% in the transaction.
  • a)
    Rs.80 
  • b)
    Rs.75 
  • c)
    Rs.90 
  • d)
    Rs.60
Correct answer is option 'D'. Can you explain this answer?

R sold the table at 20% profit at Rs. 90. Thus cost price would be given by: CPR X 1.2 = 90
R’s Cost price = Rs. 75.
We also know that E sold it to R at 25% profit. Thus,
E’s Cost price X 1.25 = 75
-> E’s cost price = 60. 

A man sold an article at a profit of 10%. If he had charged Rs 45 more his profit percentage would have been 25%. What is the cost price?
  • a)
    Rs 200
  • b)
    Rs 300
  • c)
    Rs 250
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Profit%= 10%
SP= CP+ (10/100)*CP = 11CP/10.
Now if he had sold it for RS.45 more, profit% given is 25%.
SP+45= CP + (25/100)*CP
SP + 45= 5CP/4
Substitute SP = 11 CP/10 in the above equation.
You get CP = RS. 300

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. What is the cost price of a ball?
  • a)
    Rs. 43
  • b)
    Rs. 60
  • c)
    Rs. 55
  • d)
    Rs. 34
Correct answer is option 'B'. Can you explain this answer?

Alok Verma answered
Let the cost price of a ball be Rs. x.
So, the CP of 17 balls is Rs. 17x.
The CP of 5 balls is Rs. 5x.
 
Since Loss = CP - SP
So, 5x = 17x - 720
On solving, we get
12 x = 720
that is, x = 60
So, the cost price of a ball is Rs. 60.

Murali purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. Find out his profit percentage.
  • a)
    3.5
  • b)
    5.6
  • c)
    4.1
  • d)
    3.4
Correct answer is 'B'. Can you explain this answer?

The cost price of 20 dozens of toys = 375*20 i.e per dozen 375= Rs 7500/-the selling price of one dozen toys = 12*33= Rs 396/-the selling price of 20 dozen toys = 396*20= Rs 7920/-gain=sp-cp = 7920-7500 =Rs.420/-gain%=(gain/cp)*100 = 420/7500*100 =5.6%

While I was shopping in Kamla Nagar market for my baby girl Tatto, I came across two shopkeepers who were giving me a discount of same amount for a top. While first shopkeeper was offering a discount of 14.28%, second shopkeeper was offering a discount of 12.5% over their respective mark-ups. Whose cost price is higher?
  • a)
    1st shopkeeper
  • b)
    2nd shopkeeper
  • c)
    Either of them depending upon their respective MP
  • d)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?

Ankita Singh answered
According to the information given in the question,
While the first shopkeeper was offering a discount of 14.28%, the second shopkeeper was offering a discount of 12.5% over their respective mark-ups.
We need to find a shopkeeper whose cost price is higher.
After analyzing the given statement, we get that
14.28% of mark-up of the first shopkeeper =12.5% of mark-up of the second shopkeeper.
With this given information, we can compare the mark-up price, whereas nothing can be said about the cost prices of the shopkeepers.
Hence, the correct answer is "cannot be determined".

An article is bought for Rs 600 and sold for Rs 750. What is the profit percentage?
  • a)
    20%
  • b)
    25%
  • c)
    30%
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Arya Roy answered
Total Profit = 750 - 600 = 150 rs

Percentage of Profit = 150/600 = 25%

Hence he makes 25% profit on his investment/ principal amount.

Read the passage below and solve the questions based on it, Patna-mart, sister concern of Wal-marL is planning to establish a mechanism to give discount, it is actually a Kind Ja Simsim kind of game where if you win any round, you will gel some discount specific to dial round, and it you lose, you will be losing al! the discounts so far won.
Now, round l is hav ing discount coupons of 2%.
Round 2 is having discount coupons of 4%.
Round 3 is having discount coupons of 6%, And so on...............
There are infinite round sand you can participate in all the rounds but you can participate in any round only once and before participating in round N (any particular round), you should have participated in round 1 - round N -1 (all die rounds before that particular round.) All the discounts won will be successive, eg., if you win Round 1 and then round 2 also, you will get a successive discount of 2% and then 4%. But again as the rule goes on. if you lose round 3, you will be losing ail the discount coupons won so far Bui despite losing round 3, you can participate in round 4 and hence.
Q.
What is the minimum number of rounds to obtain maximum possible discount?
  • a)
    50
  • b)
    100
  • c)
    Infinite
  • d)
    Cannot be determined
Correct answer is option 'A'. Can you explain this answer?

Anaya Patel answered
Maximum possible discount in any case can be only 100% and any discount more than 100% is actually 100% only. Now, whatever is the discount, till the moment we get a discount of 100%, value of the article cannot be zero (even infinite discounts of 99.99% won’t make it equal to a discount of 100%) So, number of rounds needed to obtain 100% discount = 50.

A man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for Rs. 33 less, he would have gained 10%. Find the cost price of the article.
  • a)
    Rs.400 
  • b)
    Rs.200
  • c)
    Rs.325
  • d)
    Rs.260
Correct answer is option 'B'. Can you explain this answer?

Surbhi Joshi answered
Given:
Selling price = Cost price + 10% of cost price
Let the cost price be x
Selling price = 1.1x

To find:
Cost price of the article

Solution:
Let the original selling price be y
The cost price of the article if he had bought it at 15% less than what he paid for it = 0.85y
He sold it for Rs. 33 less, so the selling price = y - 33
He gained 10%
Selling price = Cost price + 10% of cost price
1.1x = 1.1(0.85y) + 0.1(0.85y)
1.1x = 0.935y + 0.085y
1.1x = 1.02y
y = 1.078x

Substituting the value of y in the equation y - 33 = 1.1(0.85y)
1.078x - 33 = 0.935y
1.078x - 33 = 0.935(1.078x)
1.078x - 33 = 1.00883x
0.06917x = 33
x = 33/0.06917
x = Rs. 476.86

Therefore, the cost price of the article is Rs. 476.86
But, the options given are not in decimals
So, the closest option to Rs. 476.86 is Rs. 200

Hence, the correct option is (B) Rs. 200.

Amilkman professes to sell milk at its CP only. But still he is making a profit of 20% since he has mixed some amount of water in the milk. What is the percentage of milk in the mixture?
  • a)
    80%
  • b)
    83.33%
  • c)
    75%
  • d)
    66.66%
Correct answer is 'B'. Can you explain this answer?

Alternatively, if he has initially 10 L of milk, he must have made it 12 L of mixture to get a profit of 20% (since SP per litre = CP per litre). Hence out of 12 litres of mixture, 10 litres is milk and 2 litres is water.

An article when sold at 10% discount on the marked price gave a profit of Rs 70. What is the CP?
  • a)
    Rs 700
  • b)
    Rs 350
  • c)
    Rs 125
  • d)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?

Sameer Rane answered
Profit % = (( Profit )/ (Cost price))X100

Profit = Cost price - Selling price

Let cost price be x

So,

10 = (70/x)X100

x= (70 X 100)/10

x=7000

So,

The cost price of the item is 7000 rupees

Anam bought a jute bag at 30% discount on the list price. He then sold it at a price which is 160% of the list price thereby making a profit of Rs 81. What is the list price of the bag?
  • a)
    Rs 90
  • b)
    Rs 100
  • c)
    Rs 180
  • d)
    Rs 200
Correct answer is option 'A'. Can you explain this answer?

Assume that MP = Rs 100
then CP of An am = Rs 70
and his SP = Rs 160
So, his Profit = Rs 90.
Now using unitary method, when profit of Anam = Rs 90, then his MP = 100. So when his MP = Rs 81, his MP = 90.

Two lots of oranges with equal quantity, one costing Rs 20 per dozen and the other costing Rs 30 per dozen, are mixed together and the whole lot is sold at Rs 24 per dozen. Then what is the profit or loss?
  • a)
    4% profit
  • b)
    5.6% profit
  • c)
    4% loss
  • d)
    5.6% loss
Correct answer is option 'C'. Can you explain this answer?

Aryan Khanna answered
When two doze are mixed togather
then cost price of both =20+30
=50
one dozen is sold at =rs 24
then two dozen are sold at =2�24
= 48rs
sp=48
cp = 50
loss = cp-sp
= 50-48
= 2rs
loss%= loss�100/cp

= 2�100/50
= 200/50
= 4%

The owner of Book Point does not get either profit or loss by selling 15 books for Rs 225. How many books should he sell for the same amount to gain 25% profit?
  • a)
    10
  • b)
    11
  • c)
    12
  • d)
    13
Correct answer is option 'C'. Can you explain this answer?

Aarav Sharma answered
Given:
Selling price of 15 books = Rs 225
No profit or loss

To Find:
Number of books to be sold to gain 25% profit

Solution:
Let the cost price of each book be x.
Total cost price of 15 books = 15x

Given, Selling price of 15 books = Rs 225
Therefore, selling price of each book = 225/15 = 15

Since there is no profit or loss,
Total cost price = Total selling price
15x * 15 = 225
x = 225/225
x = 1

So, the cost price of each book is Rs 1.

To gain 25% profit, the selling price should be 1.25 times the cost price.
Selling price of each book = 1.25

Let the number of books to be sold for the same amount be n.
Total selling price of n books = 15 (since selling price of 15 books is Rs 225)

Therefore, 1.25n = 225
n = 180/1.25
n = 144

Therefore, the owner should sell 12 books for the same amount to gain a 25% profit. Answer: (C)

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x
  • a)
    15
  • b)
    25
  • c)
    18
  • d)
    16
Correct answer is 'D'. Can you explain this answer?

Sameer Rane answered
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.S.P. of x articles = Rs. 20.Profit = Rs. (20 - x).because [(20 - x)/x] x 100 = 25=> 2000 - 100x = 25x=> 125x = 2000 x = 16.

Read the passage below and solve the questions based on it, Patna-mart, sister concern of Wal-marL is planning to establish a mechanism to give discount, it is actually a Kind Ja Simsim kind of game where if you win any round, you will gel some discount specific to dial round, and it you lose, you will be losing al! the discounts so far won.
Now, round l is hav ing discount coupons of 2%.
Round 2 is having discount coupons of 4%.
Round 3 is having discount coupons of 6%, And so on...............
There are infinite round sand you can participate in all the rounds but you can participate in any round only once and before participating in round N (any particular round), you should have participated in round 1 - round N -1 (all die rounds before that particular round.) All the discounts won will be successive, eg., if you win Round 1 and then round 2 also, you will get a successive discount of 2% and then 4%. But again as the rule goes on. if you lose round 3, you will be losing ail the discount coupons won so far Bui despite losing round 3, you can participate in round 4 and hence.
Q.
What is the minimum possible discount after 20 rounds provided that customer has won a minimum of 18 rounds?
  • a)
    100%
  • b)
    50%
  • c)
    0%
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

If he loses in 19 th round, all previous 18 round wins gets cancelled. Hence assuming he loses 20 th round minimum discount will be zero and maximum can be 2 % if he wins it. so answer is C

Chapter doubts & questions for Profit, Loss and Discount - Quantitative Aptitude (Quant) 2025 is part of Interview Preparation exam preparation. The chapters have been prepared according to the Interview Preparation exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Interview Preparation 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Profit, Loss and Discount - Quantitative Aptitude (Quant) in English & Hindi are available as part of Interview Preparation exam. Download more important topics, notes, lectures and mock test series for Interview Preparation Exam by signing up for free.

Quantitative Aptitude (Quant)

164 videos|133 docs|118 tests

Top Courses Interview Preparation