Question Details

The following bar chart represents the gross amount (in ` lakhs) and total cost (in ` lakhs) of a firm.

In order to make a profit of 25%, what should the gross amount have been (in ` crores) in 2019-2020, if the total cost remained the same?

Options

A

7800

B

8000

C

8250

D

8125

Show Answer

Correct Answer :

Option D

8125

8125

Solution :

The correct answer is 8125 (in ₹ lakhs, i.e., ₹ 8125 lakhs = ₹ 81.25 crores).

Wait — let me re-read carefully. The question title says the chart is in "₹ lakhs", but the bar chart image clearly shows the Y-axis labeled "Rupees in crores" with values like 3500, 4000, 4500, 5000, 5500, 6000, 6500, 7500. The options given (7800, 8000, 8250, 8125) are also in the same crore range. So the data from the chart is directly in ₹ crores.

Step 1: Read the data from the bar chart for 2019-2020.

From the bar chart, for the year 2019-20:
— Total Cost (striped/hatched bar) = ₹ 6500 crores
— Gross Amount (white bar) = ₹ 7500 crores

Step 2: Understand the condition.

The question asks: If the total cost remains the same (i.e., Total Cost = ₹ 6500 crores), what should the gross amount be to earn a 25% profit?

Here, Profit is calculated on Total Cost (Cost Price), and:
Profit % = [(Gross Amount - Total Cost) / Total Cost] × 100

Step 3: Apply the profit formula.

We need Profit = 25% on Total Cost.

Required Gross Amount = Total Cost × ( 1 + 25 100 )

= 6500 × 125 100

= 6500 × 1.25

= 8125 crores

Step 4: Verify.

Profit = 8125 - 6500 = 1625 crores
Profit % = 1625 6500 × 100 = 25 %

Therefore, the gross amount in 2019-20 should have been ₹ 8125 crores to earn a profit of 25%, keeping the total cost unchanged at ₹ 6500 crores.

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