Nishant, Rakesh, Brijesh, and Rohit bought a house for Rs.40 lakhs. The contribution of Nishant is 3/5thof the contribution of Rakesh, Brijesh, and Rohit taken together. The contribution of Rakesh is 2/3rd of the contribution of Brijesh and Rohit taken together. Brijesh and Rohit contributed equal amount. What is the ratio of their respective contributions ?
Explanation:
- Let's denote the contributions of Nishant, Rakesh, Brijesh, and Rohit as N, Ra, B, and Ro respectively.
- According to the problem, Nishant's contribution (N) is 3/5th of the combined contribution of Rakesh, Brijesh, and Rohit.
- So, N = 3/5(Ra + B + Ro).
- Similarly, Rakesh's contribution (Ra) is 2/3rd of the combined contribution of Brijesh and Rohit.
- So, Ra = 2/3(B + Ro).
- Brijesh and Rohit contributed equally, hence B = Ro.
Now, solving these equations:
1. Substitute B = Ro into Ra = 2/3(B + Ro):
- Ra = 2/3(2B) = 4B/3.
2. Substitute Ra = 4B/3 and B = Ro into N = 3/5(Ra + B + Ro):
- N = 3/5((4B/3) + B + B) = 3/5((4B/3) + 2B).
- Simplify N = 3/5((4B + 6B)/3) = 3/5(10B/3) = 2B.
Thus, N : Ra : B : Ro = 2B : 4B/3 : B : B = 6 : 4 : 3 : 3.
- Correct option is: 6:4:3:3
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By: sunny bhonsle