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?
Answers
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
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