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35 Profit and Loss Problems with Solutions PDF.Profit and Loss is a part of the Quantitative Aptitude section. Candidates are you seeking to practice the multiple choice questions based on this Profit and Loss topic often make an appearance in the SSC, Railways Exams, and other Competitive exams. It is one of the essential and highest-scoring topics which you can easily face in the banking exam.

## Profit and loss – Easy

1. The shopkeeper allows two successive discounts of 15 % and 10 %. If the percentage of mark up price of an item is 20 % and the cost price of an item is Rs. 1500, then find the selling price of an item?

A. Rs. 1563

B. Rs. 1129

C. Rs. 1377

D. Rs. 1670

E. None of these

Correct option is : C

Solution:

CP*[(100 + Mark up %)/100] = MP

1500*(120/100) = MP

MP = 1800

SP = 1800*(85/100)*(90/100) = Rs. 1377

1. The marked price of a silver ring is 280 less than the two times of the cost price and jeweller allows a discount of 20 %. Find the Cost price, if the selling price of the silver ring is Rs. 800?

A. Rs. 640

B. Rs. 680

C. Rs. 700

D. Rs. 660

E. None of these

Correct option is : A

Solution:

MP = 2CP – 280

MP*(80/100) = 800

MP = 1000

1000 = 2CP – 280

1280 = 2CP

CP = 1280/2 = Rs. 640

1. Shopkeeper bought two tables for Rs. 1500 each. If he sold one at a profit of x% and another at a loss of 20 %, then in the whole transaction, there is no profit or loss. Find the value of ‘x’.

A. 24

B. 26

C. 28

D. 20

E. None of these

Correct option is : D

Solution:

According to the question,

1500*(100 + x)/100 + 1500*(80/100) = 3000

1500 + 15x + 1200 = 3000

15x + 2700 = 3000

15x = 300

X = 20

## Profit and loss – Moderate

1. A vehicle dealer bought 5 second hand tractors for Rs. 2,00,000. He spent Rs. 2,00,000 additional on the maintenance and repairing of these 5 tractors. He sold one of the tractors for Rs. 1,50,000. What should be the average selling price of rest of the four tractors, if he makes 40% profit on the whole transaction?

A. Rs. 1,20,000

B. Rs. 1,00,000

C. Rs. 1,02,500

D. Rs. 1,25,000

E. Rs. 1,50,000

Correct option is : C

Solution:

Initial cost price of 5 tractors = Rs. 2,00,000
Maintenance and repairing cost of the 5 tractors = Rs. 2,00,000
Final cost price of 5 tractors = 2,00,000 + 2,00,000 = Rs. 4,00,000
Now,
Profit to be made on the whole transaction = 40%
Total selling price of the 5 tractors
⇒ 4,00,000 + 40% of 4,00,000 = Rs. 5,60,000
Selling price of 1 tractor = Rs. 1,50,000
Let the average selling price of the remaining 4 tractors be y.
Thus, 4 × y + 1,50,000 = 5,60,000

 ⇒ y = 5,60,000 – 1,50,000 = Rs. 1,02,500 4
1. Two denims of Levi’s and Mufti, having same marked price have been sold at 15% and 12% discounts, respectively. The cost price of Mufti was Rs. 160 less than the cost price of Levi’s. The profit earned on Levi’s and Mufti was 6.25% and 20% respectively. Find the marked price of each denim.

A. Rs. 2400

B. Rs. 4000

C. Rs. 4200

D. Rs. 2040

E. Rs. 2080

Correct option is : A

Solution:

Let the marked price of each denim was Rs. ‘x’

 Then, the S.P. of Levi’s denim = 85% of x = Rs. 17x 20
 And, the S.P. of Mufti denim = 88% of x = Rs. 22x 25 C.P. of Levi’s denim = 17x × 100 = Rs. 4x 20 106.25 5
 C.P. of Mufti denim = 22x × 100 = Rs. 11x 25 120 15

According to the question,

 ⇒ 4x – 11x = 160 5 15
 ⇒ 12x – 11x = 160 15 ⇒ x = 160 15

⇒ x = 2400
∴ The marked price of each denim = Rs. 2400

1. 3. Santhosh bought a chair and spent Rs. 100 on its repairs. Then he sold it to Ragu at a profit of 20% and then he sold it to Suresh at a loss of 10%. Suresh finally sold it for Rs.1782 at a profit of 10%. How much amount did Santhosh initially pay for the chair?

A. Rs. 1400

B. Rs. 1500

C. Rs. 1350

D. Rs. 1250

E. None of these

Correct option is : A

Solution:

Let Santhosh pay for the chair be Rs. x,

(x + 100)*(120/100)*(90/100)*(110/100) = 1782

(x + 100) = (1782*100*100*100)/(120*90*110)

(x + 100) = 1500

X = 1500 – 100 = Rs. 1400

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## Profit and loss – Hard

1. A shopkeeper sold half of his items at 25% profit, half of the remaining at 20% loss and the rest was sold at the cost price. Find the gain/loss % in the whole transaction?

A. 12 %

B. 10.5 %

C. 7.5 %

D. 9 %

E. None of these

Correct option is : C

Solution:

Let the cost price of whole items be Rs. x,

CP of 1/2 of the items = Rs. x/2

CP of 1/4 of the items = Rs. x/4

Total SP = Rs. [(125% of x/2) + (80% of x/4) + x/4]

= > Rs. (5x/8 + x/5 + x/4)

= > Rs. 43x/40

Gain = Rs. (43x/40 – x)

= > Rs. 3x/40

Gain % = [(3x/40)/x]*100 = 7.5 %

1. Naman bought a product at 30% discount on MRP, and claims to sell it at profit of 20% on his cost price. When Shubham offered him Rs. 600, he cheated again, by giving him Rs. 100 instead of Rs. 200. Find overall profit of Naman?

A. 50%

B. 40%

C. 45%

D. 60%

E. 38%

Correct option is : A

Solution:

Let the MRP be Rs.100,

Cost price = Rs. 70 and Selling Price = Rs. 70(1.2) = Rs. 84
Shubham gave him Rs. 600, he should have returned Rs. 200.
Actual S.P = 600 – 200 = 400
84 unit corresponds to 400

 1 unit will correspond to 400 = 100 84 21

Profit = 84 – 70 = 14

 14 units corresponds to 100 × 14 = 200 21 3

He returned Rs. 100 instead of Rs. 200. So, he cheated of Rs. 100.

 Actual profit = 200 + 100 = 500 3 3

CP = Rs. 70

 70 will correspond to 100 × 70 = 7000 21 21
 Actual profit % = 500 × 21 × 100 → 50%
1. The article is marked 15% above the cost price. When the selling price of an article is increased by 25%, the profit gets increased Rs. 110. If the marked price of the article is Rs. 575, then find original selling price.

A. 560

B. 440

C. 390

D. 280

E. 620

Correct option is: B

Solution:

Marked Price = Rs. 575

CP = 575 * (100/115) = 500

Profit = Selling Price – 500

And given that, when SP increased by 25%

Let the original selling price be Rs. x,

125/100 * SP – 500 = Profit + 110

5/4 x – 500 = (SP – CP) + 110

5x/4 – 500 = x – 500 + 110

5x/4 – x = 110

(5x – 4x) / 4 = 110

x = 440

Selling price = Rs. 440

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