Question

The ratio of the capitals invested in a partnership business by three friends Sukdev, Basudev and Mahadev is as 1/5:1/4:1/3. If at the end of the business there is a profit of Rs 4700, find the amount of the share of price of each.​

Answer 1

Answer:

1/5:1/4:1/3 = 60/5:60/4:60/3 = 12:15:20

S : B : M = 12 : 15: 20

=> S = 12x B = 15x M = 20x

profit is to be shared in the same ratio of their investment

therefore 12x + 15x + 20x = 4700

=> 47 x = 4700

=> x = 100

therefore shares of Sukdev = 12x = 12×100 = 1200

Basudev = 15x = 15×100 = 1500

Mahadev = 20x = 20×100 = 2000

Answer 2

$\huge\underline\mathfrak\red{Solution:}$

The ratio of the capitals of Sukdev,Basudev and Mahadev

=$\frac{1}{5}$:$\frac{1}{4}$ :$\frac{1}{3}$

=$\frac{60}{5}$:$\frac{60}{4}$ : $\frac{60}{3}$

=12 : 15 : 20

Total profit= Rs 4700

Now,let the share of Sukdev,Basudev and Mahadev be = 12x ,15x and 20x

$\rule{300}{2}$

By conditions,

$12x + 15x + 20x = 4700$

$\implies \: 47x = 4700$

$\implies \: x = \cancel \frac{4700}{47}$

$\implies x=100$

$\rule{300}{2}$

Now,by putting the value of x, we get,

Share of Sukdev

= 12x

= 12 × 100

= Rs1200

Share of Basudev

= 15x

= 15 × 100

= Rs1500

Share of Mahadev

= 20x

= 20 × 100

= Rs2000

$\rule{300}{2}$

$\huge\underline\mathfrak\pink{ThankYou}$