Question

A sports shop sold 5000 baseball cards this year in a four month period from the 1st of April until the end of July. 30% of the cards were sold in the month of May. There were 300 more cards sold during June than in July and 400 less cards were sold during April compared to July. What percentage of cards were sold in April?

Answer 1

16%

Explanation:

GIVEN: A sports shop sold
`5000` baseball cards this year in a four month period from the 1st of April until the end of July.
`30\%` of the cards were sold in the month of May. There were
`300` more cards sold during June than in July and
`400` less cards were sold during April compared to July.

TO FIND: What percentage of cards were sold in April What percentage of cards were sold in April.

SOLUTION:

Total cards sold
`=5000`

Let total cards sold in July be
`x`

According to question

Cards sold in June
`=300+x`

Cards sold in April
`=x-400`

Total cards sold in may
`=30\%\ of\ 5000=(30)/(100)*5000`

`=1500`

Total cards sold
`=x+300+x+x-400+1500=5000`

`\therefore 3x=3600\implies x=1200`

cards sold in April
`=x-400=1200-400\implies x=800`

percentage of cards sold in April
`=\frac{\text{cards sold in April}}{\text{total cards}}*100`

`=(800)/(5000)*100=16\%`

Hence 16% of total cards were sold in April