Srikant and Vividh start a business investing ₹185000 and ₹225000 respectively (equal time). If Vividh’s share in the profit is ₹9000, what is the total profit earned?

Introduction / Context:
Profit splits in proportion to capitals when time is equal. Knowing one partner’s share and both capitals, you can reconstruct the total profit by scaling with the ratio parts.

Given Data / Assumptions:

• Srikant : Vividh capital = 185000 : 225000 = 37 : 45.
• Vividh’s share (45 parts) = ₹9000.
• Time equal; no other adjustments.

Concept / Approach:
Let each part be p. Then 45p = 9000 ⇒ p = 200. Total profit is (37 + 45)p.

Step-by-Step Solution:
Parts p = 9000 / 45 = 200Total parts = 37 + 45 = 82Total profit = 82 * 200 = ₹16400

Verification / Alternative check:
Srikant’s share = 37 * 200 = ₹7400; Vividh’s = ₹9000; total = ₹16400 as computed.

Why Other Options Are Wrong:
They assume different part values or incorrect ratios and do not match Vividh’s given ₹9000 share.

Common Pitfalls:
Reducing 37 : 45 incorrectly or attempting to average capitals instead of using proportional division.

Final Answer:
₹16400