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 .

A

Koushal's Profit is Rs. 600
Abhilash's Profit is Rs. 600
Nikhila's Profit is Rs. 1200

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B

Koushal's Profit is Rs. 700
Abhilash's Profit is Rs. 600
Nikhila's Profit is Rs. 1200

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C

Koushal's Profit is Rs. 600
Abhilash's Profit is Rs. 800
Nikhila's Profit is Rs. 1300

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D

Koushal's Profit is Rs. 500
Abhilash's Profit is Rs. 600
Nikhila's Profit is Rs. 700

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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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