Four person decided to start a restaurant by sharing equal

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Four person decided to start a restaurant by sharing equal amount of the total investment. After some calculations they found that if they get two more equal investors, each of the four will have to pay Rs. 12000 less. What was the total investment ?

1. Rs. 24000
2. Rs. 72000
3. Rs. 144000
4. Rs. 288000

Correct Option: C

Let investment of each person be Rs. N
Total investment of 4 people = 4 x N = Rs. 4N
Investment of each person when two more people join them = Rs. (N - 12000)
∴ Total investment of 6 people = 6(N - 12000)
∵ 4N = 6(N - 12000)
⇒ 4N = 6N - 72000
⇒ 2N = 72000
∴ N = 36000
Hence total investment = 4 x 36000 = Rs. 144000