Question

Please help with a math question, amd explain work too please if it’s not too much:)

"Donations to an annual fundraiser are 15% greater this year then last year. Last year, donations were 10% greater than a year before. The amount raised this year is $10,120. How much was raised 2 years ago?"

Answer 1

$ 8,000

Explanation:

Let x be the donation before 2 years ago,

∵ Last year, donations were 10% greater than a year before,

⇒ Donation in last year = x + 10% of x

`=x + (10x)/(100)`

= x + 0.1x

= 1.1x

Now, the donation is 15% greater in this year than last year,

So, the donation in this year = 1.1x + 15% of 1.1x

`=1.1x +(15* 1.1x)/(100)`

`=1.1x + 0.165x`

= 1.265x

According to the question,

1.265x = 10,120

`\implies x =(10120)/(1.265)=8000`

Hence, 2 years ago it was raised $ 8,000.