a) ₹ 60000

b) ₹ 65000

c) ₹ 62000

d) ₹ 70000

correct answer is: a) ₹ 60000

#### Explanation

The library got total money from the Govt. grant, collection of subscription and selling old papers is :

\rightarrow ₹\;(74350+4350+1300)

\rightarrow ₹\;80000

According to the question,

The ratio of buying new books, for binding of old books and paying salary to the employees is 15\;:\;3\;:\;2.

Let,

Buying new books is 15x.

For binding of old books is 3x.

Paying salary to the employees is 2x.

Sum of the terms is (15x+3x+2x)\;=\;20x.

Now,

20x=\;₹\;80000

\rightarrow x=\large\frac{80000}{20}

\rightarrow x=4000

So that, Expenses to buy new books \left(15\times4000\right)

\rightarrow ₹\;60000. **Ans:** New books were bought for ₹\;60000.

###### There’s another way to pose this same math question:

**A library received a Government grant of ₹74350, collected a subscription of ₹4350, and earned ₹1300 by selling old papers. If the entire amount is spent on buying new books, binding old books, and paying employee salaries in the ratio 15:3:2, what amount was spent on buying new books?****If a library received a Government grant of ₹74350, collected ₹4350 through subscriptions, and earned ₹1300 by selling old papers, and the entire amount is utilized for buying new books, binding old books, and paying employee salaries in the ratio 15:3:2, what is the expenditure on purchasing new books?****A library received ₹74350 as a Government grant, collected ₹4350 through subscriptions, and earned ₹1300 from selling old papers. If all this money is allocated for buying new books, binding old books, and paying employee salaries in the ratio 15:3:2, how much was spent on purchasing new books?**