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## Profit And Loss Questions PDF Free Download

### Profit And Loss Problems with Solutions PDF

P, Q and R are partners and invest in a business. P invests 1/6^{th} of the total investment and Q invests 2/5^{th }of the total investment. What is the ratio of profit of P, Q and R respectively?

- 12 : 5 : 13
- 5 : 3 : 2
- 5 : 12 : 13
- 10 : 3 : 4
- None of the above/More than one of the above.

**Solution**

**P invests 1/6 ^{th} of the total investment.**

**Q invests 2/5 ^{th} of the total investment.**

Taking L.C.M = 6, 5

**L.C.M = 30**

Let the** total investment** be **Rs. 30.**

P invests **1/6th of the total investment = 30/6 = Rs. 5**

Q invests **2/5th of the total investment = (2/5) × 30 = Rs. 12**

Thus R invests = Rs 30 – (Rs. 12 + Rs. 5)

⇒ 30 – 17

⇒ **Rs. 13**

Thus ratio of the profit of P, Q and R respectively is 5 : 12 : 13.

Hence, the correct answer is** “5 : 12 : 13”.**

**Question 2:**

Hitesh sold an article at the profit of 15% and while weighing used a weight of 920 grams in place of 1 kg. Find out his actual total profit%?

- 35%
- 25%
- 30%
- 40%

**Solution;**

**GIVEN:**

Profit % = 15%

Hitesh uses 920 grams instead of 1 kg

**FORMULA USED:**

Actual Profit% = (Actual profit/CP) × 100

**CALCULATION:**

Let the cost of 1 kg is = Rs. 100

Hitesh sold articles at the profit of 15%

So, selling price = Rs. 115

But he weighs only 920 gm which cost = Rs. 92

So, Actual profit = 115 – 92 = 23**∴ Actual Profit % = 23/92 × 100 = 25%**

**Question 3:**

On selling an article for Rs. 800, the loss is 1/8 of the profit which is received on selling the article for Rs. 890. Find the cost price of the article.

- Rs. 800
- Rs. 820
- Rs. 830
- Rs. 810

**Solution;**

**Given:**

On selling an article for Rs. 800, the loss is 1/8 of the profit which is received on selling the article for Rs. 890.

**Calculation:**

Let the cost price of the article be ‘x’

⇒ (x – 800) = (1/8)(890 – x)

⇒ 8x – 6400 = 890 – x

⇒ 9x = 7290

⇒ x = 810**∴ Cost price of the article = Rs. 810**

**Question 4**

The price of a VCR is marked at ₹15,000. If successive discounts of 20%, 15% and 10 % are allowed, then at what price does a customer buy it?

- ₹10,180
- ₹11,080
- ₹9,180
- ₹10,200
- Not attempted

**Solution;**

**Given:**

The price of a VCR is marked at ₹15,000.

Successive discounts of 20%, 15% and 10 % are allowed

**Concept used:**

Selling price = Marked Price – Marked Price × Discount%

Final discount percentage after two successive discounts of A% and B% = (�+�−��100)%

**Calculation:**

Price becomes after 20% discount

⇒ 15000 – 15000 × 20% = ₹12000

Price becomes after 15% discount

⇒ 12000 – 12000 × 15% = ₹10200

The final price that the customer pays after the last 10% discount

⇒ 10200 – 10200 × 10% = ₹9180

**Question 5:**

If on a marked price, the difference of selling prices with a discount of 30% and two successive discounts of 20% and 10% is Rs.72, then the marked price is:

- Rs.4,000
- Rs.3,800
- Rs.3,600
- Rs.3,400
- Not attempted

**Given:**

Normal discount = 30%

Two successive discounts = 20% and 10%

Difference in amount of normal and successive discount = Rs. 72

**Formula used:**

Successive discount formula = D_{1} + D_{2} – (D_{1} × D_{2})/100

SP = [MP × (100 – D)/100]

Here,

D1 and D2 are two discounts

**Calculation:**

Substituting the values in formula we get,

Successive discount = 20 + 10 – (20 × 10)/100

⇒ (30 – 2)%

⇒ 28%

Normal discount = 30%

Difference in discount% = Difference in discount amount

⇒ (30 – 28)% = 72

⇒ 2% = 72

⇒ 1% = 36

⇒ 100% = 3600

**Question 6:**

A shopkeeper earns a profit of 25 percent on selling a radio at 15 percent discount on the Printed price. Finds the ratio of the Printed price and the cost price of the radio.

- 17 : 25
- 25 : 27
- 27 : 25
- 25 : 17
- None

**Given:**

Profit = 25 Percent

Discount = 15 Percent

**Formula:**

MP/CP = (100 + Profit %)/(100 – Discount %)

MP = Printed Price

CP = Cost Price

**Calculation:**

We know that –

MP/CP = (100 + Profit %)/(100 – Discount %) ………. (1)

Put all given values in equation (1) then we gets

MP/CP = (100 + 25)/(100 – 15)

⇒ 125/85

⇒ 25/17

**Question 7:**

A shopkeeper normally makes a profit of 20% in a certain transaction; he weights 900 g instead of 1 kg, due to an issue with the weighing machine. If he charges 10% less than what he normally charges, what is his actual profit or loss percentage?

- 20%
- 28%
- 25%
- 30%

**Given:**

A shopkeeper normally makes a profit of 20% in a certain transaction,

He weights 900 g instead of 1 kg, due to an issue with the weighing machine.

He charges 10% less than what he normally charges.

**Formula used:**

SP = 100−��������100×��

Calculations:

Let the cost price of 1 Kg of goods = Rs. 100

So, the selling price of 1 Kg of goods = 100 × 120/100 = Rs. 120

Cost price of 900 grams of goods = Rs. 90

According to question,

Shopkeeper charges 10% less what he normally charges

So, the new selling price = old selling price × (100 – 10)/100

⇒ New selling price = 120 × 90100 =Rs. 108

So, profit = Rs. (108 – 90) = Rs. 18

So, profit % = (1890) × 100 = 20%

**Question 8:**

Two successive discounts of 40% and 20%, respectively, on the marked price of an article are equal to single discount of Rs 988. The marked price (in Rs) of the article is:

- 1,900
- 2,200
- 2,470
- 2,070

**Given:**

Two discounts = 40% and 20%

**Formula:**

Two discounts a% and b%

Total discount = (�+�)−��100

Discount amount = (marked price) × (discount %)/100

**Calculation:**

Single discount percentage = (40+20)−40×20100 = 52%

⇒ 52 = 988/marked price × 100

⇒ Marked price = 1900

**Question 9:**

Sulekha bought 36 kg of sugar for Rs. 1,040. She sold it at a profit equal to the selling price of 10 kg of it. What is the selling price (in Rs.) for 5 kg of sugar ?

- 200
- 215
- 220
- 235

**Given:**

Cost price of 36 kg sugar = Rs.1040

**Formula used:**

Profit = Selling price – Cost price

**Calculation:**

CP of 1 kg sugar = Rs.1040/36

According to the question,

SP × 10 = SP × 36 – CP × 36

⇒ CP × 36 = 26 × SP

⇒ 1040/ 36 × 36 = 26 × SP

⇒ 1040 = 26 × SP

⇒ SP = 1040/26 = 40

Now, SP of 5 kg of sugar = 40 × 5 = Rs. 200

**Question 10:**

Amar sells his TV at a rate of Rs. 1540 and bears a loss of 30%. At what rate should he sell his TV so that he gains a profit of 30%?

- Rs. 2920
- Rs. 2480
- Rs. 2680
- Rs. 2860

**GIVEN:**

SP = Rs. 1540 when loss = 30%

**CONCEPT:**

Basic profit and loss concept.

**FORMULA USED:**

SP = CP × (1 – Loss %/100)

SP = CP × (1 + Profit %/100)

**CALCULATION:**

Cost price of TV = 1540/(1 – 30/100)

= 1540/0.7 = Rs. 2200

Hence,Selling price when profit is 30% = 2200 × (1 + 30/100) = Rs. 2860

Language | English |

No. of Pages | 43 |

PDF Size | 2 MB |

Category | Education |

Source/Credits | smartkeeda.com |

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Profit and Loss Questions PDF Free Download