Question

Ram puts rs. 375 more in a business than shaym. Ram invest for 8 months while shyam invest for 4 months. If the total share of ram is 75 more than that of shyam out of total profit of rs. 125. Find the capital invest by ram?

Answer 1

Step-by-step explanation:

let profit share of shyam be'z'

z + (z + 75) = 125

z = Rs 25

shyam's profit = Rs25

ram's profit = 25+75 = Rs100

profits' ratio = 100 : 25 = 4 : 1

let the capital invest by shyam be 'x'

ram's capital = x + 375

(x+375)×8 : (x×4)= 4 : 1

16x = 8x + 3000

8x = 3000 => x = Rs 375

capital invest by ram = x + 375

= 375 + 375 = Rs750 Answer

Answer 2

Given:

Total profit=Rs. 125

Ram's capital= Rs. 375 more than Shyam's Capital

Ram's share of profit= Rs. 75 more than Shyam's share of profit

To find:

Capital invested by Ram

Solution:

We can find the solution by following the steps given below-

We know that the capital is invested in a particular ratio which is also the ratio in which profits are distributed.

Let Shyam's share of profit be S.

Ram's share of profit= 75+ S

Total profit= Rs.125

S+75+S= 125

2S+75=125

2S=50

S= Rs.25

S+75= Rs.100

Ram's share is Rs. 100 and Shyam's share is Rs.25.

The profit-sharing ratio of Ram and Shyam=100:25

=4:1

Now, let Shyam's capital be 4X.

So, Ram's capital will be 8(X+375)

8(X+375):4X=4:1

2(X+375)/X=4/1

2(X+375)=4X

X+375=2X

375=X

Shyam's capital= Rs. 375

Ram's capital= X+375

=375+375

= Rs.750

Therefore, the capital invested by Ram is Rs.750