Question

On a shelf, the first row contains 25% more books than the second row and the third row contains 25% less books than the second row. If the total number of books contained in all the rows is 600, then find the number of books in the first row.

Answer 1

Suppose there are 100x books on 2nd row.

Then, 1st row=125x

2nd row=100x

3rd Row=75 x

Total 125x+100x+75x=300x=600

x=2

So, on 1st row =125X2=250 books.

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Answer 2

The number of books in first row is 250

Step-by-step explanation:

Let x be the no. of books in second row

We are given that the first row contains 25% more books than the second row

No. of books in first row = $x+25\%x=x+\frac{25}{100}x=1.25x$

We are also given that the third row contains 25% less books than the second row.

No. of books in third row = $x-25\%x=x-\frac{25}{100}x=0.75x$

We are given that the total no. of books are 600

So, 1.25x+x+0.75x=600

3x=600

x=200

No. of books in first row = 1.25x=1.25(200)=250

Hence The number of books in first row is 250

#Learn more :

On a shelf, the first row contains 25% more books than the second row, and the third row contains 25% less books than the second row. If the total number of books contained in all the three rows in 900, find the number of books in the first row.​

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