Question

Amar,Mithun and Satya started a business by Investing Rs. 54,000, Rs. 81,000 and Rs. 75,000 respectively. If at the end of the year the total profit was distributed and Mithun's share was Rs. 27,000, then what was total profit ?

Answer 1

If at the end of the year the total profit was distributed and Mithun's share was Rs. 27,000, then the total profit was Rs. 70,000.

Step-by-step explanation:

Amar, Mithun & Satya invested Rs. 54,000, Rs. 81,000 & Rs. 75,000 respectively at the start of their business.

So,  

The ratio of their investments will be  

= 54000 : 81000 : 75000

= 54 : 81 : 75

∴ The ratio in which Mithun invests in the business = $\frac{81}{54+81+75} = \frac{81}{210}$

Mithun’s share of the total profit at the end of the year is given as Rs. 27,000

Let the total profit to be distributed among three of them at the end of the year be Rs. “x”.

Therefore,

The eq. for Mithun's share of profit is given as,

$\frac{81}{210}$ * x = 27000

⇒ x = $\frac{27000 * 210}{81}$

⇒ x = Rs. 70,000

Thus, the total profit was Rs. 70,000 at the end of the year.

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