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M, N and P invest ₹ 50000 for a business. M invests ₹ 4000 more than N and N invest ₹ 5000 more than P. Out of the total profit of ₹ 70000, what is the share received by M ?
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- ₹ 29400
- ₹ 30000
- ₹ 35000
- ₹ 40000
- None of the above
Correct Option: A
Let investment of P = ₹ K
Then, investment of N of = ₹ (K + 5000)
and investment of M = (K + 5000) + 4000 = ₹ (K + 9000)
According to the question.
K + (K + 5000) + (K + 9000) = 50000
⇒ 3K + 14000 = 50000
⇒ 3K = 50000 - 14000 = 36000
∴ K = 36000/3 = 12000
Clearly, investment of P = ₹ 12000
Investment of N = (K + 5000) = 12000 + 5000 = ₹ 17000
Investment of M = (K + 9000) = 12000 + 9000 = ₹ 21000
M's share : N's share : P's share = 21000 : 17000 : 12000
= 21 : 17 : 12
Hence, M's share = [21/(21 + 17 + 12 )] x 70000
= (21/50) x 70000 = ₹ 29400
