# X, Y, and Z invested Rs. 4500, Rs. 7000 and 9000 respectively to start a gaming club. At the end of two years, they earned a profit of Rs. 16400. What

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X, Y, and Z invested Rs. 4500, Rs. 7000 and 9000 respectively to start a gaming club. At the end of two years, they earned a profit of Rs. 16400. What will be Y’s share in the profit?

1. Rs. 5600
2. Rs. 5800
3. Rs. 6200
4. Rs. 5400
5. None of the above

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Correct Answer - Option 1 : Rs. 5600

Given:

X invested = Rs. 4500

Y invested = Rs. 7000

Z invested = Rs. 9000

At the end of 2 years profit earned = 16400

Calculation:

The ratio of the amount invested by X, Y, Z

⇒ 4500 : 7000 : 9000

⇒ 45 : 70 : 90

⇒ 9 : 14 : 18

Total profit = Rs. 16400

Y's share = (14/41) × 16400

⇒ 14 × 400

⇒ Rs. 5600.

∴ Y’s share of profit is Rs. 5600.