P, q and r invest in a business. if the ratio of their time period are 3 : 4 : 5 and their profits are in the ratio 5 : 6 : 8. find the ratio in which the investment are made by p, q and r
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Let the amounts invested be P,Q,R.
Let the time periods be 3Y, 4Y, 5Y.
hence profit ratio = 3YP:4YQ:5YR = 3P:4Q:5R.
Arrange this ratio as 5:(20Q/3P):(25R/3P)
, but profit ratio is given as 5:6:8,
hence 20Q/3P = 6, and 25R/3P = 8
from this we get , amounts as
P, 9P/10 , 24P/25.
hence ratio = 1:9/10:24/25 = 50:45:48
Let the time periods be 3Y, 4Y, 5Y.
hence profit ratio = 3YP:4YQ:5YR = 3P:4Q:5R.
Arrange this ratio as 5:(20Q/3P):(25R/3P)
, but profit ratio is given as 5:6:8,
hence 20Q/3P = 6, and 25R/3P = 8
from this we get , amounts as
P, 9P/10 , 24P/25.
hence ratio = 1:9/10:24/25 = 50:45:48
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