Skip to content
Question

Q.Neeru and Pooja were partners in a partnership firm sharing profits and losses in the ratio of 4 : 3. The firm earned average profits of ₹ 5,00,000 during the last few years. The normal rate of return in a similar business is 10%. The average super profits of the firm were ₹ 4,00,000. The amount of capital employed by the firm was : (A) ₹ 90,00,000 (B) ₹ 40,00,000 (C) ₹ 50,00,000 (D) ₹ 10,00,000

CBSECBSE Class XII Board 2025MCQ· 1mImportance★★★★★
🔒 Locked · start free trial →

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Start your 14-day free trial to unlock the full solution →

The capital employed is ₹ 10,00,000, calculated by dividing the average profit (₹ 5,00,000) minus the super profit (₹ 4,00,000) by the normal rate of return (10%).

This is a straightforward application of the Super Profit Method of valuation of goodwill — but here we are working backwards to find capital employed. The logic is simple: super profit is the excess of actual average profit over the normal profit (which is capital employed × normal rate of return). So if we know the super profit and the average profit, we can find the normal profit, and from that, the capital employed.

Let’s lay out the relationship clearly:

Average Profit = Normal Profit + Super Profit

Here, Average Profit = ₹ 5,00,000 and Super Profit = ₹ 4,00,000.

Therefore, Normal Profit = Average Profit − Super Profit = ₹ 5,00,000 − ₹ 4,00,000 = ₹ 1,00,000.

Now, Normal Profit is simply the return that the capital employed should earn at the normal rate.

Normal Profit = Capital Employed × Normal Rate of Return

So, Capital Employed = Normal Profit ÷ Normal Rate of Return

= ₹ 1,00,000 ÷ 10%

= ₹ 1,00,000 ÷ 0.10

= ₹ 10,00,000. …

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.