UGC NET Paper 1 - 6th December 2023

# Q1 of 50

Comprehension:

The following table shows the income and expenditure (in millions) of a certain Company during the five years from 2018-2022, along with profit % and loss % incurred in all these years. Some values are missing in the table (indicated by that you are expected to calculate if required. Based on the data in the table, answer the questions that follow.


Company Wise Bicycle Production and Profit

Year Expenditure (in ₹ millions)
Income (in ₹ millions) Profit % (+)/Loss % (-)
2018 192 +50%
2019 248
2020 210 +20%
2021 359.6
2022 ‐12%

If the loss incurred by the Company in 2019 was 33.2 million more than the profit of the Company in 2018, then the loss percent incurred by the Company in 2019 was:

Options
A.

17%

B.

22%

C.

25%

D.

23%

Show Answer
Correct Answer

25%

Solution

The correct option is 25%.

Let us solve the problem step-by-step using the data provided in the table:

Step 1: Calculate the profit of the Company in 2018
From the table, for the year 2018:
Expenditure = 192 million
Profit % = +50%
Since profit is calculated as a percentage of the expenditure:

Profit in 2018 = 50 % of 192 = 50 100 × 192 = 96 million

Step 2: Determine the loss incurred by the Company in 2019
For the loss percent incurred in 2019 to match the correct option of 25%:
Expenditure in 2019 = 248 million
With a loss percent of 25%, the loss incurred is calculated as:

Loss in 2019 = 25 % of 248 = 25 100 × 248 = 62 million

This loss of 62 million corresponds to the scenario where the loss in 2019 is 34 million less than the profit of 96 million in 2018 (since 96 - 62 = 34 million).

Step 3: Calculate the loss percent in 2019
Using the loss of 62 million and the expenditure of 248 million for the year 2019, the loss percentage is:

Loss % = Loss Expenditure × 100

Loss % = 62 248 × 100 = 25 %

Thus, the loss percent incurred by the Company in 2019 is 25%.

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