X, Y, Z enter into a partnership venture with a capital Rs1,20,000. in which the contribution of Y and Z are,respectively,40% more
and Rs1,000 more than that of X. The profit earned is 20% of the capital. Out of this profit ,10% goes towards some incidental
expenses. What is the share (in Rs) of X out of it?
This questions was previously asked in
SSC MTS 12th October 2021 Shift-2
Explanation:
- The total capital is Rs 1,20,000.
- Let X's contribution be Rs x.
- Y's contribution is 40% more than X, so Y contributes Rs 1.4x.
- Z contributes Rs (x + 1,000).
- The total contributions: x + 1.4x + (x + 1,000) = 3.4x + 1,000.
- This is equal to Rs 1,20,000:
- 3.4x + 1,000 = 1,20,000
- Solving, x = 35,000.
- Profit is 20% of Rs 1,20,000 = Rs 24,000.
- Out of this, 10% is for incidental expenses (Rs 2,400).
- Remaining profit: Rs 24,000 - Rs 2,400 = Rs 21,600.
- X's share ratio is 35,000 out of the total capital.
- Fraction of profit for X: (35,000/1,20,000) × 21,600 = Rs 6,300.
- Correct answer: Option 4 - Rs 6,300
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By: santosh