Question

A school’s annual budget for the purchase of student computers increased by 60% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?A. 33.33%B. 40%C. 42%D. 48%E. 60%

Answer 1

The correct option is A) 33.33%

Explanation:

Consider the provided information.

Let the budget for the purchase of student computer was $100 over last year.

Now it increased 60% this year.

Therefore, the budget for the purchase of student computer is $160 in this year.

Let us assume that the cost of each computer was $1 over last year.

Now the cost increased by 20%.

Thus, the cost of each computer is $1.2 in this year.

The number of computer purchased in this year is:

`(160)/(1.2)= 133.333`

Over the last year they can by 100 computers as the cost of each computer was $1 and budget was $100.

In this year they can by 133.33 computers as the cost of each computer is $1.2 and budget is $160.

That means they can by 33.33 more computers.

Hence, the number of computers it can purchase this year is 33.33% greater than the number of computers it purchased last year.

Therefore, the correct option is A) 33.33%

Note: You can assume any number for the cost of computer and budget the answer will remain same.