Mohan, krishna and anand together invested rs. 450,000 in a business. At the end of the year they shared profits in the ratio 7: 9: 16. If their time duration of investment in the business was in the ratio 7: 6: 8. Find amount invested by krishna in the business?
Answers
Answer:
Krishna invested rs 150000
Step-by-step explanation:
Let the investment by Mohan be x, the investment by Krishna be y and investment by Anand be z.
From the ratios of the time taken by the three we can take the time taken by each.
The ratio of their investment period is :
Mohan : Krishna : Anand = 7 : 6 : 8
The time periods are :
Mohan = 7 months
Krishna = 6 months
Anand = 8 months
The ratio on how the profits should be shared is given by :
Investment of Mohan × period : investment of Krishna × period : Investment of Anand × period
We write this below :
7 × x : 6 × y : 8 × z = 7x : 6y : 8z
The ratio on how the profits should be shared is given as = 7 : 9 : 16
7x/6y = 7/9
x/y = 7/9 × 6/7 = 2 / 3 = 2 : 3
6y/8z = 9/16
y/z = 9/16 × 8/6
y/z = 3/4 = 3 : 4
The ratio of their investment is given by :
Mohan : Krishna : Anand
= 2 : 3 : 4
Their total investment = 450000
Sum of the ratios is = 2 + 3 + 4 = 9
Investment by Krishna = 3/9 × 45000 = 150000
Krishna invested rs 150000.