A's share in a business is \(\frac{3}{4}\)th of B's share. B got a profit of ₹\(1200\) by investing ₹\(40000\) in the business. What will be the ratio of A's profit to his investment in the business?

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A. 100 : 3 A. 100 : 3

B. 3 : 100 B. 3 : 100

C. 3 : 10 C. 3 : 10

D. None of these D. এগুলোর কোনোটিই নয়

A's investment : B's investment \(= 3 : 4\)

B invested ₹\(40000\)

So A invested:

\[ \frac{3}{4} \times 40000 = 30000 \]

Profit is proportional to investment.

B's profit = ₹\(1200\)

So A's profit:

\[ \frac{3}{4} \times 1200 = 900 \]

Required ratio:

\[ \text{A's profit : A's investment} = 900 : 30000 \] \[ = 3 : 100 \]

Hence, the correct answer is 3 : 100.

A-এর বিনিয়োগ : B-এর বিনিয়োগ \(= 3 : 4\)

B বিনিয়োগ করেছে ₹\(40000\)

অতএব A-এর বিনিয়োগ:

\[ \frac{3}{4} \times 40000 = 30000 \]

লাভ বিনিয়োগের সমানুপাতিক।

B-এর লাভ = ₹\(1200\)

অতএব A-এর লাভ:

\[ \frac{3}{4} \times 1200 = 900 \]

প্রয়োজনীয় অনুপাত:

\[ 900 : 30000 \] \[ = 3 : 100 \]

অতএব সঠিক উত্তর 3 : 100।

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