Four people plan to start a restaurant, sharing the total investment equally among themselves. They discover that if two more equal investors join (making six in total), each of the original four will have to invest ₹12000 less. What is the total investment?

Introduction / Context:This is an equal-share investment problem. The per-person contribution changes when the number of investors changes. The difference between the old and new per-person contributions equals ₹12000 for each original partner.

Given Data / Assumptions:

• Total investment = T (unknown).
• Original investors = 4; later investors = 6.
• Reduction per original investor = T/4 − T/6 = ₹12000.

Concept / Approach:Use per-person shares before and after additional investors and set their difference to the known reduction. Solve for T directly.

Step-by-Step Solution:Per-person original = T/4Per-person after two more join = T/6Difference = T/4 − T/6 = T*(1/12) = ₹12000Therefore, T = 12000 * 12 = ₹144000

Verification / Alternative check:Original per-person = 144000/4 = 36000; new per-person = 144000/6 = 24000; reduction = 12000 as stated.

Why Other Options Are Wrong:Other totals produce differences other than ₹12000 when divided by 4 and 6.

Common Pitfalls:Subtracting 6 from 4 or mixing up shares; the reduction is in money per person, not in number of investors.

Final Answer:Rs. 144000