A and B invest in the ratio 4 : 3. If 9% of the total profit goes to charity and A's share is ₹ 1,196 after charity, what is the total profit?

Introduction / Context: Again, the donation is removed first. Then the remainder is split 4 : 3, and A's portion is equated to the given figure to reverse-compute the total profit.

Given Data / Assumptions:

• A : B = 4 : 3.
• Charity = 9% of total P.
• A receives ₹ 1,196 of the remainder.

Concept / Approach: A's fraction of the distributable remainder is 4/7. The remainder is 91% of P, i.e., 0.91P. So A gets (4/7)*0.91P.

Step-by-Step Solution: (4/7)*0.91P = 1,196. 0.91 * (4/7) = 364/700 = 0.52 exactly. Thus 0.52P = 1,196 ⇒ P = 1,196 / 0.52 = ₹ 2,300.

Verification / Alternative check: Charity = 9% of 2,300 = ₹ 207; remainder = 2,093; A's share = 4/7 of 2,093 = ₹ 1,196.

Why Other Options Are Wrong: Only ₹ 2,300 satisfies the exact fraction 0.52P = 1,196.

Common Pitfalls: Using 4/7 of the total profit or rounding the product 0.91 * (4/7) incorrectly.

Final Answer: ₹ 2,300