Comprehension
A company’s expenses in 2011 are divided as follows: Salaries 40%, Rent 20%, Utilities 15%, Marketing 15%, Miscellaneous 10%. Total expenses are Rs. 500 lakh.
Question: 1
What is the amount spent on Salaries?
What is the amount spent on Salaries?
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For pie chart calculations, multiply the percentage (as a decimal) by the total amount and verify.
Updated On: Aug 11, 2025
- Rs. 180 lakh
- Rs. 190 lakh
- Rs. 200 lakh
- Rs. 210 lakh
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The Correct Option is C
Solution and Explanation
Step 1: Identify Salaries percentage.
Salaries = 40%.
Step 2: Calculate amount.
Total expenses = Rs. 500 lakh.
Salaries = 40% × 500 = (40 ÷ 100) × 500 = 0.4 × 500 = 200 Rs. lakh.
Step 3: Verify.
0.4 × 500 = 200.
Alternatively, 40% = 2/5, so (2/5) × 500 = 200.
Step 4: Check options.
Options: (1) 180, (2) 190, (3) 200, (4) 210.
Our result matches Option (3).
Step 5: Cross-check.
Total expenses = 500, 40% = 200. No calculation errors.
Step 6: Conclusion.
Option (3) is correct — Salaries amount = 200 Rs. lakh.
Salaries = 40%.
Step 2: Calculate amount.
Total expenses = Rs. 500 lakh.
Salaries = 40% × 500 = (40 ÷ 100) × 500 = 0.4 × 500 = 200 Rs. lakh.
Step 3: Verify.
0.4 × 500 = 200.
Alternatively, 40% = 2/5, so (2/5) × 500 = 200.
Step 4: Check options.
Options: (1) 180, (2) 190, (3) 200, (4) 210.
Our result matches Option (3).
Step 5: Cross-check.
Total expenses = 500, 40% = 200. No calculation errors.
Step 6: Conclusion.
Option (3) is correct — Salaries amount = 200 Rs. lakh.
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Question: 2
What is the combined amount spent on Rent and Utilities?
What is the combined amount spent on Rent and Utilities?
Show Hint
For combined percentages, sum the percentages first, then multiply by the total.
Updated On: Aug 11, 2025
- Rs. 165 lakh
- Rs. 175 lakh
- Rs. 185 lakh
- Rs. 195 lakh
Show Solution
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The Correct Option is B
Solution and Explanation
Step 1: Identify percentages.
Rent = 20%, Utilities = 15%.
Combined percentage = 20 + 15 = 35%.
Step 2: Calculate amount.
Total expenses = Rs. 500 lakh.
Combined = 35% × 500 = (35 ÷ 100) × 500 = 0.35 × 500 = 175 Rs. lakh.
Step 3: Alternative method.
Rent = 20% × 500 = 100 Rs. lakh.
Utilities = 15% × 500 = 75 Rs. lakh.
Total = 100 + 75 = 175 Rs. lakh.
Step 4: Verify.
0.35 × 500 = 175.
Recalculation using individual components: 100 + 75 = 175.
Step 5: Check options.
Options: (1) 165, (2) 175, (3) 185, (4) 195.
Our result matches Option (2).
Step 6: Conclusion.
The combined amount for Rent and Utilities = 175 Rs. lakh.
Therefore, the correct answer is Option (2).
Rent = 20%, Utilities = 15%.
Combined percentage = 20 + 15 = 35%.
Step 2: Calculate amount.
Total expenses = Rs. 500 lakh.
Combined = 35% × 500 = (35 ÷ 100) × 500 = 0.35 × 500 = 175 Rs. lakh.
Step 3: Alternative method.
Rent = 20% × 500 = 100 Rs. lakh.
Utilities = 15% × 500 = 75 Rs. lakh.
Total = 100 + 75 = 175 Rs. lakh.
Step 4: Verify.
0.35 × 500 = 175.
Recalculation using individual components: 100 + 75 = 175.
Step 5: Check options.
Options: (1) 165, (2) 175, (3) 185, (4) 195.
Our result matches Option (2).
Step 6: Conclusion.
The combined amount for Rent and Utilities = 175 Rs. lakh.
Therefore, the correct answer is Option (2).
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Question: 3
If Miscellaneous expenses increase by 50 %, what is the new amount?
If Miscellaneous expenses increase by 50 %, what is the new amount?
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For percentage increase in pie charts, calculate the original amount, then apply the increase formula.
Updated On: Aug 11, 2025
- Rs. 60 lakh
- Rs. 65 lakh
- Rs. 70 lakh
- Rs. 75 lakh
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The Correct Option is D
Solution and Explanation
Step 1: Identify Miscellaneous expenses.
Miscellaneous = 10% of 500 = 0.1 × 500 = 50 Rs. lakh.
Step 2: Calculate increase.
A 50% increase means new amount = 150% × 50 = (1.5 × 50) = 75 Rs. lakh.
Step 3: Alternative method.
Increase = 50% × 50 = 0.5 × 50 = 25 Rs. lakh.
New amount = 50 + 25 = 75 Rs. lakh.
Step 4: Verify.
1.5 × 50 = 75.
Percentage check: (25 ÷ 50) × 100 = 50%.
Step 5: Check options.
Options: (1) 60, (2) 65, (3) 70, (4) 75.
Our answer matches Option (4).
Step 6: Conclusion.
The new Miscellaneous expenses after a 50% increase = 75 Rs. lakh.
Correct answer: Option (4).
Miscellaneous = 10% of 500 = 0.1 × 500 = 50 Rs. lakh.
Step 2: Calculate increase.
A 50% increase means new amount = 150% × 50 = (1.5 × 50) = 75 Rs. lakh.
Step 3: Alternative method.
Increase = 50% × 50 = 0.5 × 50 = 25 Rs. lakh.
New amount = 50 + 25 = 75 Rs. lakh.
Step 4: Verify.
1.5 × 50 = 75.
Percentage check: (25 ÷ 50) × 100 = 50%.
Step 5: Check options.
Options: (1) 60, (2) 65, (3) 70, (4) 75.
Our answer matches Option (4).
Step 6: Conclusion.
The new Miscellaneous expenses after a 50% increase = 75 Rs. lakh.
Correct answer: Option (4).
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Question: 4
What is the ratio of Marketing to Salaries expenses?
What is the ratio of Marketing to Salaries expenses?
Show Hint
For ratio questions, calculate amounts and simplify the fraction, ensuring the correct option is selected.
Updated On: Aug 11, 2025
- 2:5
- 3:8
- 3:7
- 3:5
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Calculate amounts.
Marketing = 15% × 500 = 0.15 × 500 = 75 Rs. lakh.
Salaries = 40% × 500 = 0.40 × 500 = 200 Rs. lakh.
Step 2: Find ratio.
Ratio of Marketing to Salaries = 75 : 200.
Step 3: Simplify.
(75 ÷ 25) : (200 ÷ 25) = 3 : 8.
Step 4: Verify.
75 ÷ 25 = 3, and 200 ÷ 25 = 8, confirming the ratio is 3:8.
Step 5: Conclusion.
The simplified ratio is 3:8 — matches Option (2).
Marketing = 15% × 500 = 0.15 × 500 = 75 Rs. lakh.
Salaries = 40% × 500 = 0.40 × 500 = 200 Rs. lakh.
Step 2: Find ratio.
Ratio of Marketing to Salaries = 75 : 200.
Step 3: Simplify.
(75 ÷ 25) : (200 ÷ 25) = 3 : 8.
Step 4: Verify.
75 ÷ 25 = 3, and 200 ÷ 25 = 8, confirming the ratio is 3:8.
Step 5: Conclusion.
The simplified ratio is 3:8 — matches Option (2).
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