Question

A,B and C started a business by investing ₹1,20,000 ,₹ 1,30,000 and ₹ 1,50,000 respectively. If the total profit of the business is ₹ 56,8000 then what will be the share of profit of each person?​

Answer 1

Solution:

Investment of A = Rs.1,20,000

Investment of B = Rs.1,30,000

Investment of C = Rs.1,50,000

In order to find the profit share each person would be having, these investment amounts must be written in ratio format.

$\sf{\longrightarrow\:1,20,000:1,30,000:1,50,000}$

Dividing the three values with 10,000 we are left with:

$\sf{\longrightarrow\:12:13:15}$

The ratio format is 12 : 13 : 15.

Now, it is given that that total profit is Rs.5,68,000.

Therefore:

Profit share of A

$\sf{\longrightarrow\:\dfrac{Profit\:share}{Total\:ratio}\times\:Amount}$

$\sf{\longrightarrow\:\dfrac{12}{12+13+15}\times5,68,000}$

$\sf{\longrightarrow\:\dfrac{12}{40}\times5,68,000}$

$\sf{\longrightarrow\:\dfrac{12}{4}\times56800}$

$\sf{\longrightarrow\:3\times56800}$

$\sf{\longrightarrow\:Rs.1,70,400}$

Profit share of B

$\sf{\longrightarrow\:\dfrac{Profit\:share}{Total\:ratio}\times\:Amount}$

$\sf{\longrightarrow\:\dfrac{13}{40}\times5,68,000}$

$\sf{\longrightarrow\:13\times14200}$

$\sf{\longrightarrow\:Rs.1,84,600}$

Profit share of C

$\sf{\longrightarrow\:\dfrac{Profit\:share}{Total\:ratio}\times\:Amount}$

$\sf{\longrightarrow\:\dfrac{15}{40}\times5,68,000}$

$\sf{\longrightarrow\:\dfrac{3}{8}\times5,68,000}$

$\sf{\longrightarrow\:3\times71000}$

$\sf{\longrightarrow\:Rs.2,13,000}$

Therefore:

✳ Profit share of A = Rs.1,70,400

✳ Profit share of B = Rs.1,84,000

✳ Profit share of C = Rs.2,13,000

⇒ Verification:

If the sum of all the profit shares is equal to the total profit mentioned in the question, our answer is correct.

RHS:

= Sum of profit shares of A, B and C

= 1,70,400 + 1,84,000 + 2,13,000

= Rs.5,68,000

LHS:

= 5,68,000

LHS = RHS

Hence verified!