rohan and sohan had certain amount of money.the ratio of the amounts with them is 8:5 .each day rohan spends a certain amount and sohan earns one -sixth of the amount that rohan spends ,after 9 days the ratio of the amounts with them is 10:11. after how many more days the ratio of the amounts with them be 18:35?
Answers
Given : Rohan and Sohan had certain amounts of money with them . Each day Rohan spends a certain amount and Sohan earns one – sixth of the amount that Rohan spends After 9 days, the ratio of the amounts with
them is 10 : 11.
To find : After how many more days, will the ratio of the amounts with them be 18 : 35
Solution:
The ratio of the amounts with Rohan and Sohan = 8 : 5
Roshan = 8M
Sohan = 5M
Let say Each day Rohan spends = 6S
Sohan Earns each day = 6S/6 = S
After 9 days Roshan has = 8M - 9*6S = 8M - 54S
After 9 Days Sohan has = 5M + 9S
(8M - 54S) / ( 5M + 9S ) = 10/11
=> 88M - 594S = 50M + 90S
=> 38M = 684S
=> M = 18S
Let say after D more days ratio of the amounts with them be 18 : 35
= (8M - 54S - 6DS) / (5M + 9S + DS) = 18/35
=> (144S - 54S - 6DS) / (90S + 9S + DS) = 18/35
=> (90S - 6DS)/(99S + DS) = 18/35
=> (90 - 6D )/(99 + D ) = 18/35
=> (15 - D )/(99 + D ) = 3/35
=> 525 - 35D = 297 + 3D
=> 38D = 228
=> D = 6
After 6 More days ratio of the amounts with them be 18 : 35
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