Koushal- Abhilash and Nikhila jointly started a business- Koushal invested 1-4 th of the total capital- Abhilash invested 1-4 th 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-

Koushal, Abhi...

Question

Koushal, Abhilash and Nikhila jointly started a business. Koushal invested $\frac{1}{4} t h$ of the total capital. Abhilash invested $\frac{1}{4} t h$ 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 .

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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 $\frac{1}{4} t h$ of the total capital, so Koushal's investment = $\frac{z}{4}$
Abhilash invested $\frac{1}{4} t h$ of the capital, so Abhilash's investment = $\frac{z}{4}$
Nikhila invested the remaining part of the capital, hence:

Nikhila's investment = Total Capital - Koushal's investment - Abhilash's investment
$\Rightarrow$ $z$ - $\frac{z}{4}$ - $\frac{z}{4}$
$\Rightarrow$ $z$ - $\frac{2 z}{4}$
$\Rightarrow$ $z$ - $\frac{z}{2}$
$\Rightarrow$ $\frac{z}{2}$

Capital of Koushal : Capital of Abhilash : Capital of Nikhila = $\frac{z}{4}$ : $\frac{z}{4}$ : $\frac{z}{2}$

$\Rightarrow$ $\frac{1}{4}$ : $\frac{1}{4}$ : $\frac{1}{2}$
$\Rightarrow$ 1 : 1 : 2

Koushal's profit = $2400 \times \frac{1}{4}$ = ₹ 600

Abhilash's profit = $2400 \times \frac{1}{4}$ = ₹ 600

Nikhila's profit = $2400 \times \frac{1}{2}$ = ₹ 1200

Suggest Corrections

Similar questions

Rushil and Bhanu jointly started a business with a capital of Rs. 40,000 and Rs. 20,000 respectively. After 6 months, Rushil invested Rs. 20,000 more in the business, but Bhanu withdrew Rs. 10,000. At the end of the year, the profit earned by the business is Rs. 65,000. What is the profit earned by Bhanu?

In a business partnership between Ram and Mohan, Ram's capital is $\frac{2}{5} t h$ of the total and is invested for $\frac{2}{3} r d$ of a year. If his share of the profit is $\frac{4}{7} t h$ of the total, for how long was Mohan's capital in the business?

A, B

and

C

started a business where their initial capital was in the ratio of

4 : 5 : 6

. At the end of

8

months,

A

invested an amount such that his total capital became half to

C^{'}

s initial capital investment. If the annual profit of

B

is Rs.

7500

then what is the total profit ?

The capital invested by 3 people A, B and C are in the ratio of 1 : 2 : 3 and profit earned by A is ₹50 less than that earned by B. Calculate the total profit in the business.

Q. Three friends A, B, C invested in a business in the ratio of

4 : 5 : 6

. After

6

months C withdraw half of his capital. If the sum invested by A is

48000

, then the profit earned by C out of the total profit of

60000

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 .