UGC NET Paper 1 - 14th June 2023 (Shift 2)

# Q1 of 50

The following table shows the Income (in lakh) and percentage (%) profit of a company over the six years from 2017 to 2022. Based on the data in the table, answer the questions that follow.

Year-wise Income and Profit of a Company

Year  Income (in ₹ lakh) Profit (%)
 
2017 120 7.5
2018 160 15
2019 130 22.5
2020 170 17.5
2021 190 20
2022 150 27.5

If the percentage profit in 2021 was 25% instead of 20% than what would have been the expenditure in that year?

Options
A.

130 lakh 

B.

148 lakh 

C.

120 lakh

D.

152 lakh

Show Answer
Correct Answer

152 lakh

Solution

The correct answer is 152 lakh.

Based on the provided table, we can analyze the data points for the year 2021:
- Income in 2021 = 190 lakh rupees
- Original Profit percentage in 2021 = 20%

The question asks for the expenditure in 2021 if the profit percentage had been 25% instead of 20%.

We use the standard formula relating Income, Expenditure, and Profit Percentage:

Profit % = ( Income - Expenditure Expenditure ) × 100

Let the expenditure in 2021 be represented by E (in lakh rupees). Substituting the given values into the formula:

25 = ( 190 - E E ) × 100

Now, we solve for E step-by-step:

Divide both sides by 100:

25 100 = 190 - E E
Simplify the fraction on the left side:

1 4 = 190 E - 1
Add 1 to both sides of the equation:

190 E = 1 + 1 4
Combine the terms on the right side:

190 E = 5 4
Cross-multiply to solve for E:

5 × E = 190 × 4
Calculate the product on the right side:

5 E = 760
Divide by 5:

E = 760 5 = 152

Therefore, if the profit percentage had been 25%, the expenditure in the year 2021 would have been 152 lakh.

Want to study from this teacher?

Questions