The daily expenditure of a sports coaching camp is Rs.12200 when there are 30 male and 20 female members. When the number of females and males increase by 25% and 10% respectively, the daily expenditure turns out to be Rs.14170. What would have been the daily expenditure (in Rs) if the number of females and males had increased by 10% and 20% respectively?
Question
The daily expenditure of a sports coaching camp is Rs.12200 when there are 30 male and 20 female members. When the number of females and males increase by 25% and 10% respectively, the daily expenditure turns out to be Rs.14170. What would have been the daily expenditure (in Rs) if the number of females and males had increased by 10% and 20% respectively?
Solution
Let's denote the daily expenditure per male as M and per female as F.
From the first part of the problem, we know that: 30M + 20F = 12200 ---- (1)
When the number of males and females increase by 25% and 10% respectively, the equation becomes: 1.2530M + 1.120F = 14170 ---- (2)
We have two equations and two unknowns, so we can solve for M and F.
Once we have the values of M and F, we can calculate the daily expenditure if the number of females and males had increased by 10% and 20% respectively. The equation would be: 1.130M + 1.220F = ?
Solving these equations will give us the answer.
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