Study the given graph and answer the question that follows.

The graph shows the profit percentage earned by two companies - A and B over a period of six years.

If the income of the company A in the year 2012 was Rs. 6.425 lakh, what was its expenditure in that year? 

This question was previously asked in
SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 10 Jul, 2024 Shift 2)
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  1. Rs. 4.43 lakh
  2. Rs. 4.7 lakh
  3. Rs. 5.2 lakh
  4. Rs. 4.5 lakh

Answer (Detailed Solution Below)

Option 1 : Rs. 4.43 lakh
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SSC CHSL Full Test 1
100 Qs. 200 Marks 60 Mins

Detailed Solution

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Given:

Income of company A in the year 2012 = Rs. 6.425 lakh

Profit percentage = 45%

Formula Used:

Profit Percentage = (Profit / Expenditure) × 100

Profit = Income - Expenditure

Profit Percentage = [(Income - Expenditure) / Expenditure] × 100

Calculation:

Let the expenditure be E.

Profit = Income - Expenditure

Profit = 6.425 lakh - E

Profit Percentage = [(Income - Expenditure) / Expenditure] × 100

45 = [(6.425 - E) / E] × 100

Divide both sides by 100:

0.45 = (6.425 - E) / E

Multiply both sides by E:

0.45E = 6.425 - E

Add E to both sides:

0.45E + E = 6.425

1.45E = 6.425

Divide both sides by 1.45:

E = 6.425 / 1.45

E = 4.43 lakh

The expenditure of the company in the year 2012 was Rs. 4.43 lakh.

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