8. A life coach conducted a one-day workshop last yearas well as this year. The number of participantsincreased by 20% and he increased his fee for theworkshop by 15%. The amount that the life coach gotthis year is 19,000 more than he got last year.Assuming he did not incur any expenses, how muchdid he earn from the workshop this year?
Answers
Answer:
The amount that coach earn from the workshop this year is Rs 35,521.7
Step-by-step explanation:
Given as :
The number of participants last year = n
The percentage increase in participants = 20%
So, The increase in participants = n + 20% of n
i.e The increase in participants = 1.2 n
Again
The amount that coach got this year = Rs 19000 + amount he got last year
The percentage increase in fee this year = 15%
So, The Amount that coach this year = last year amount + 15% of last year
i.e 19,000 + last year amount = last year amount + 15% of last year
Or, 1.15 of last year amount = Rs 19000
or, 1.15 × last year amount = Rs 19000
or, last year amount =
Or, last year fee amount = Rs 16521.73
∴ The amount that coach got this year = Rs 19000 + amount he got last year
Or, The amount that coach got this year = Rs 19000 + Rs 16521.73
Or, The amount that coach got this year = Rs 35,521.7
Hence, The amount that coach earn from the workshop this year is Rs 35,521.7 Answer
This year he earned Rs. 145666.67
Step-by-step explanation:
Let us consider that his past year's fee was Rs. X
Given that, his fee is increased by 15%. Then his present fee is
= Rs. X * (1 + 15/100)
= Rs. 115X/100
By the given conditions,
115X/100 = X + 19000
or, 115X/100 - X = 19000
or, 15X/100 = 19000
or, 15X = 1900000
or, X = 1900000/15
So his past year's fee was Rs. 1900000/15
Therefore this year he earned
= Rs. 1900000/15 + 19000
= Rs. 145666.67
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