Question

In a school library, science books and
arts books are present in the ratio
8: 7. If 150 more books of arts are
added in the library then the ratio
becomes 7: 8. What is the number of
science books present in the library ?
(a) 500
(b) 560
(c) 700
(d) 850​

Answer 1

Answer:

(b)560

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Answer 2

Answer:

Number of science books are $560$.

Step-by-step explanation:

It is given that in a school library, science books and arts books are present in the ratio $8:7$.

$150$ more books of arts are added in the library, ratio becomes $7:8$.

We need to determine number of science books.

Let number of science books are $8x$

Let number of arts books are $7x$

As per the question,

$\frac{8x}{7x+150} =\frac{7}{8}$

$64x=49x+1050$

$64x-49x=1050$

$15x=1050$

$x=70$

Number of science books are $8x=8*70=560$

Option (b) is correct.

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