Question 1

What percentage of total students are enrolled in either Engineering or Commerce streams?

Accepted Answer

Step 1: Engineering percentage = 35%
Step 2: Commerce percentage = 25%
Step 3: Combined percentage = 35% + 25% = 60%
Answer: 60%

Question 2

How many students are enrolled in the Engineering stream?

Accepted Answer

Step 1: Engineering stream has 35% of total students. Step 2: Number of Engineering students = 35% of 2000 = (35/100) × 2000 = 700 students.

Question 3

What is the ratio of students in Commerce to students in Arts?

Accepted Answer

Step 1: Commerce students = 25% of 2000 = 500 students. Step 2: Arts students = 15% of 2000 = 300 students. Step 3: Ratio = 500:300 = 5:3.

Question 4

How many more students are in Science stream compared to Law stream?

Accepted Answer

Step 1: Science students = 20% of 2000 = 400 students. Step 2: Law students = 5% of 2000 = 100 students. Step 3: Difference = 400 - 100 = 300 students.

Question 5

What is the combined percentage of students in Engineering and Commerce streams?

Accepted Answer

Step 1: Engineering percentage = 35%. Step 2: Commerce percentage = 25%. Step 3: Combined percentage = 35% + 25% = 60%.

Question 6

If 50 more students join the Law stream, what will be the new number of Law students?

Accepted Answer

Step 1: Current Law students = 5% of 2000 = 100 students. Step 2: New Law students = 100 + 50 = 150 students.

Question 7

What is the sales value (in lakhs) of the Electronics category?

Accepted Answer

Step 1: Electronics represents 28% of total sales. Step 2: Total sales = ₹5,000 lakhs. Step 3: Electronics sales = 28% of 5,000 = (28/100) × 5,000 = 1,400 lakhs.

Question 8

What is the ratio of sales of Clothing to Home & Kitchen categories?

Accepted Answer

Step 1: Clothing = 22% of total sales. Step 2: Home & Kitchen = 18% of total sales. Step 3: Ratio = 22:18 = 11:9 (dividing both by 2).

Question 9

The combined sales of Sports & Outdoors and Books & Stationery categories is what percentage more than Clothing category sales?

Accepted Answer

Step 1: Sports & Outdoors = 16%, Books & Stationery = 16%. Combined = 16% + 16% = 32%. Step 2: Clothing = 22%. Step 3: Difference = 32% - 22% = 10 percentage points more.

Question 10

If the sales of Home & Kitchen category increase by 25% next year while total sales remain ₹5,000 lakhs, what will be the new percentage share of Home & Kitchen?

Accepted Answer

Step 1: Current Home & Kitchen sales = 18% of 5,000 = 900 lakhs. Step 2: After 25% increase = 900 + (25% of 900) = 900 + 225 = 1,125 lakhs. Step 3: New percentage = (1,125/5,000) × 100 = 22.5%.

Question 11

What is the sales value (in lakhs) of the Electronics category?

Accepted Answer

Step 1: Electronics represents 28% of total sales. Step 2: Total sales = ₹5,000 lakhs. Step 3: Electronics sales = 28% of 5,000 = (28/100) × 5,000 = 1,400 lakhs.

Question 12

What is the ratio of sales of Clothing to Home & Kitchen categories?

Accepted Answer

Step 1: Clothing = 22% of total sales. Step 2: Home & Kitchen = 18% of total sales. Step 3: Ratio = 22:18 = 11:9 (dividing both by 2).

Question 13

By how much (in lakhs) do the combined sales of Sports & Outdoors and Books & Stationery exceed Home & Kitchen sales?

Accepted Answer

Step 1: Sports & Outdoors = 16%, Books & Stationery = 16%, combined = 32%. Step 2: Home & Kitchen = 18%. Step 3: Difference in percentage = 32% - 18% = 14%. Step 4: In lakhs = 14% of 5,000 = (14/100) × 5,000 = 700 lakhs.

Question 14

In 2023, what is the ratio of production between Electronics and Pharmaceuticals divisions?

Accepted Answer

Step 1: Electronics production in 2023 = 450 thousand units. Step 2: Pharmaceuticals production in 2023 = 90 thousand units. Step 3: Ratio = 450:90. Step 4: Simplify by dividing both by 90 = 5:1. Answer: 5:1

Question 15

What is the combined production of Automotive and Industrial Equipment divisions in 2023, and what percentage of total production does this represent?

Accepted Answer

Step 1: Automotive production = 360 thousand units. Step 2: Industrial Equipment production = 225 thousand units. Step 3: Combined = 360 + 225 = 585 thousand units. Step 4: Total production = 1500 thousand units. Step 5: Percentage = (585/1500) × 100 = 39%. Answer: 585 thousand units, representing 39% of total production

Question 16

By what percentage did Smartphone revenue increase from last year to this year?

Accepted Answer

Step 1: Smartphone revenue this year = 28% of 5,000 = ₹1,400 crores
Step 2: Smartphone revenue last year = ₹1,200 crores
Step 3: Increase = 1,400 - 1,200 = ₹200 crores
Step 4: Percentage increase = (200/1,200) × 100 = 16.67% ≈ 16⅔%

Question 17

If Laptop revenue increased by 20% from last year to this year, what is the percentage share of Laptops in this year's total revenue?

Accepted Answer

Step 1: Laptop revenue last year = ₹1,000 crores
Step 2: 20% increase = 1,000 × 0.20 = ₹200 crores
Step 3: Laptop revenue this year = 1,000 + 200 = ₹1,200 crores
Step 4: Total revenue this year = ₹5,000 crores
Step 5: Percentage share = (1,200/5,000) × 100 = 24%

Question 18

What is the combined revenue from Smartphones and Tablets this year, and by how much does it exceed the combined revenue from Wearables and Accessories?

Accepted Answer

Step 1: Smartphones revenue = 28% of 5,000 = ₹1,400 crores
Step 2: Tablets revenue = 18% of 5,000 = ₹900 crores
Step 3: Combined (Smartphones + Tablets) = 1,400 + 900 = ₹2,300 crores
Step 4: Wearables revenue = 16% of 5,000 = ₹800 crores
Step 5: Accessories revenue = 16% of 5,000 = ₹800 crores
Step 6: Combined (Wearables + Accessories) = 800 + 800 = ₹1,600 crores
Step 7: Difference = 2,300 - 1,600 = ₹700 crores

Question 19

By what percentage did the total production of TechCorp Industries increase from 2022 to 2023?

Accepted Answer

Step 1: Total production in 2022 = 1200 thousand units. Step 2: Total production in 2023 = 1500 thousand units. Step 3: Increase = 1500 - 1200 = 300 thousand units. Step 4: Percentage increase = (300/1200) × 100 = 25%. Answer: 25%

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