Question

Koushal, Abhilash and Nikhila jointly started a business. Koushal invested 14th of the total capital. Abhilash invested 14th of the total capital. Nikhila invested the remaining part of the capital. If the total profit is ₹ 2400 at the end of the year, find the profit earned by each of them .

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Solution

The correct option is **A**

Koushal's Profit is Rs. 600

Abhilash's Profit is Rs. 600

Nikhila's Profit is Rs. 1200

Let the total capital invested be **₹** z.

Koushal invested 14th of the total capital, so Koushal's investment = z4

Abhilash invested 14th of the capital, so Abhilash's investment = z4

Nikhila invested the remaining part of the capital, hence:

Nikhila's investment = Total Capital - Koushal's investment - Abhilash's investment

⇒ z - z4 - z4

⇒ z - 2z4

⇒ z - z2

⇒ z2

Capital of Koushal : Capital of Abhilash : Capital of Nikhila = z4 : z4 : z2

⇒ 14 : 14 : 12

⇒ 1 : 1 : 2

Koushal's profit = 2400 × 14 = **₹ **600

Abhilash's profit = 2400 × 14 = **₹** 600

Nikhila's profit = 2400 × 12 = **₹ **1200

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