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aditya

· started a discussion

· 1 Months ago

soln (Question: 249209.0 )

as the question is about spending the salary of both person we've take the (1- r/100)^time

a = 91+125=216 and b =125

after 3 years the remaining money is equal , so put values

216( 1 - r/100)^3 = 125( 1 - 10/100)^3

now take cube root of the equation

6 (1 -r/100) =5( 1- 10/100)

r = 25

Question:
A’s salary is  \(\cfrac{91}{125}\) times more than the salary of B. B spends his salary at 10% per annum. At what rate should A spend his salary so that after 3 years they are left with the same amount while they spend on compound interest basis? 
Options:
A) 20%
B) 25%
C) \(33\cfrac{1}{3}\%\)
D) \(33\cfrac{1}{2}\%\)
Solution:
Ans: (b)


ATUL KUMAR SINGH

· commented

· 1 Months ago

The formulation of the question is excellent ..though i would like to add a suggestion that it should not be called salary..because salary is cummulative whereas in this case we are taking the amount only once and calculating the percentage.

Ashwini M

· commented

· 1 Months ago

why hv u taken (1-r/100) instead of (1+r/100)

Knowledge Expert

· commented

· 1 Months ago

Dear Student ,
Your approach is also right, but we have provided general solution to the problem.

Thanks and Regards
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