What is the maths topic of Agniveer Vayu?

Key mathematics topics for competitive exams like Agniveer Vayu include Time and Work, Profit and Loss, Compound and Simple Interest, Percentage, and Average. Other important areas are Number Series, Mixture and Allegations, Pipe and Cistern, Approximation, Speed, Time & Distance, and Partnership. Mastering these will boost your math skills and exam preparedness.

What is the age limit for Agniveer Vayu 2024?

The age required for Indian Air Force Agniveer exam 2024 is between 17.5 years to 23 years.

What is the qualification of Agniveer Vayu 2024?

Candidates should have completed their 10+2 education or an equivalent qualification from a recognized board, achieving a minimum of 50% overall and at least 50% in English. Alternatively, those with a three-year engineering diploma in a relevant field from a recognized institution are also eligible.

Agniveer Vayu Maths Questions, Booster For Profit and Loss Topics

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To further improve the mathematical understanding of the candidates preparing for Agniveer Vayu exam, Defense Adda247 has prepared excellent MCQs on the topic of Profit and Loss. Agniveer Vayu Maths Questions are presented from a new and interesting perspective, so that you can understand the topic easily and strengthen your preparation. These MCQs will clear your concepts and boost your confidence, so that you can achieve success in the exam.

Agniveer Vayu Maths Questions

Mathematics can be an important and challenging subject in the Agniveer Vayu exam. In this article, we have brought to you some important questions related to profit and loss. Detailed solutions and answers are also provided with each question, so that you can not only solve the questions correctly, but also strengthen your mathematical skills. This will make your preparation more effective, and you will be able to excel in the exam.

Important MCQs of Profit & Loss for Agniveer Vayu

Q1. A man bought a number of oranges at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen, should he sell them to make a profit of 20%?

(a) Rs. 4

(b) Rs. 5

(d) Rs. 7

S1. Ans (c)

Sol.
Given: Equal number of oranges bought at 3 for a rupee and 2 for a rupee.
Formula: Selling Price = Cost Price × (1 + Profit%).

Cost Price (CP) of 6 oranges bought at 3 for 1 rupee = 2 rupees.
CP of 6 oranges bought at 2 for 1 rupee = 3 rupees.
Total CP for 12 oranges = 2 + 3 = 5 rupees.
To make a 20% profit, Selling Price (SP) = 5 × 1.20 = 6 rupees.

Correct Answer: (c) Rs. 6 per dozen

Q2. One saree was purchased for Rs. 564 after getting a discount of 6% and another saree was purchased for Rs. 396 after getting a discount of 1%. Taking both the items as a single transaction, what is the percentage of discount?

(a) 3.5

(b) 4

(d) 7.5

S2. Ans (b)

Sol.
Given:

First saree after a 6% discount costs Rs. 564.
Second saree after a 1% discount costs Rs. 396.

Formula:
Total Discount % = [(Total Marked Price – Total Selling Price) / Total Marked Price] × 100

Marked Price (MP) of the first saree: Let it be x.
x – 0.06x = 564 → x = 600
MP of the second saree: Let it be y.
y – 0.01y = 396 → y = 400
Total MP = 600 + 400 = 1000
Total Selling Price (SP) = 564 + 396 = 960
Discount % = [(1000 – 960) / 1000] × 100 = 4%

Correct Answer: (b) 4%

Q3. A man sold two watches, each for Rs. 495. If he gained 10% on one watch and suffered a loss of 10% on the other, then what is the loss or gain percentage in the transaction ?

(a) 1% gain

(b) 1% loss

(d) No gain no loss

S3. Ans (b)

Sol.
Given: Each watch was sold for Rs. 495. One was sold at 10% profit, the other at 10% loss.
Formula:
Total Loss = Total Cost Price – Total Selling Price
Loss % = (Total Loss / Total Cost Price) × 100

SP of both watches = 495 + 495 = 990
Cost Price (CP) of the first watch: 495 / 1.10 = 450
CP of the second watch: 495 / 0.90 = 550
Total CP = 450 + 550 = 1000
Loss = 1000 – 990 = 10
Loss % = (10 / 1000) × 100 = 1%

Correct Answer: (b) 1% loss

Q4. A fruit-seller buys lemons at 2 for a rupee and sells them at 5 for three rupees. What is his gain percent ?

(a) 10%

(b) 15%

(d) 25%

S4. Ans (c)

Sol.
Given: Buys lemons at 2 for 1 rupee and sells at 5 for 3 rupees.
Formula:
Gain % = (Gain / Cost Price) × 100

CP of 5 lemons = 2.5 rupees.
SP of 5 lemons = 3 rupees.
Gain = 3 – 2.5 = 0.5 rupees.
Gain % = (0.5 / 2.5) × 100 = 20%

Correct Answer: (c) 20%

Q5. The merchant earns a profit of 20% by selling a basket containing 80 apples which cost Rs. 240. But he gives one-fourth of it to his friend at cost price and sells the remaining apples. In order to earn the same profit, at what price must he sell each apple?

(a) Rs. 3.00

(b) Rs. 3.60

(d) Rs. 4.80

S5. Ans (c)

Sol.
Given:

80 apples cost Rs. 240; one-fourth sold at cost price.
Profit expected: 20%
Formula:
Profit % = (SP – CP) / CP × 100
CP of 80 apples = 240
Desired SP for 20% profit = 240 × 1.20 = 288
Sold 20 apples at Rs. 3 each, earning 60 rupees.
SP required from the remaining 60 apples = 228 rupees.
Price per apple = 228 / 60 = 3.80

Correct Answer: (c) Rs. 3.80

Q6. A cloth store is offering “Buy 3, get 1 free”. What is the net percentage discount being offered by the store?

(a) 20%

(b) 25%

(d) 40%

S6. Ans (b)

Sol.
Given: Buy 3, get 1 free.
Formula:
Net Discount % = (Free Items / Total Items) × 100

Effective offer: Buy 4, pay for 3.
Discount % = (1 / 4) × 100 = 25%

Correct Answer: (b) 25%

Q7. A person sold an article for Rs. 3,600 and got a profit of 20%. Had he sold the article for Rs. 3,150, how much profit would he have got?

(a) 4%

(b) 5%

(d) 10%

S7. Ans (b)

Sol.
Given: Selling Price = Rs. 3600, 20% profit.
Formula:
SP = CP × (1 + Profit%)
Profit % = (Profit / CP) × 100

CP = 3600 / 1.20 = 3000
If sold at Rs. 3150, Profit = 3150 – 3000 = 150
Profit % = (150 / 3000) × 100 = 5%

Correct Answer: (b) 5%

Q8. Two lots of onions with equal quantity, one costing Rs. 10 per kg and the other costing Rs. 15 per kg, are mixed together and whole lot is sold at Rs. 15 per kg. What is the profit or loss?

(a) 10% loss

(b) 10% profit

(d) 20% loss

S8. Ans (c)

Sol.
Given: Equal quantities, cost Rs. 10 and Rs. 15 per kg, mixed and sold at Rs. 15 per kg.
Formula:
Profit % = (SP – CP) / CP × 100

CP per kg = (10 + 15) / 2 = 12.50
SP = 15 per kg
Profit = 15 – 12.50 = 2.50
Profit % = (2.50 / 12.50) × 100 = 20%

Correct Answer: (c) 20% profit

Q9. On a 20% discount sale, an article costs Rs. 596. What was the original price of the article?

(a) Rs. 720

(b) Rs. 735

(d) Rs. 775

S9. Ans (c)

Sol.
Given: After 20% discount, the price is Rs. 596.
Formula:
SP = MP × (1 – Discount%)

Let MP = x
0.80x = 596
x = 745

Correct Answer: (c) Rs. 745

Q10. When an article is sold at 20% discount, the selling price is Rs. 24. What will be the selling price when the discount is 30%?

(a) Rs. 25

(b) Rs. 23

(d) Rs. 20

S10. Ans (c)

Sol.
Given: 20% discount, SP = Rs. 24.
Formula:
MP = SP / (1 – Discount%)

Let MP = x
0.80x = 24
x = 30

For 30% discount:
New SP = 30 × 0.70 = Rs. 21

Correct Answer: (c) Rs. 21

Agniveer Vayu Profit & Loss Questions PDF

If you’re looking to access all the important questions on Profit and Loss in PDF format, you can download the Agniveer Vayu Maths Profit and Loss Questions PDF through the link provided below. Candidates can easily obtain it by clicking the link. This resource will enhance your preparation and help you master the topic effectively.

Agniveer Vayu Profit & Loss Questions PDF