Twelve books can be bought for $ Rs.\ 600 $. If the price of each book increases such that there is a total increase of $ Rs.\ 30 $, how many books can be bought for the same amount?
Given:
Twelve books can be bought for \( Rs.\ 600 \).
The price of each book increases such that there is a total increase of \( Rs.\ 30 \).
To do:
We have to find the number of books that can be bought for Rs. 600.
Solution:
Initial cost of 12 books $=Rs.\ 600$
This implies,
Cost of each book $=Rs. \frac{600}{12}$
$=Rs.\ 50$
Total price increase for 12 books $=Rs.\ 30$
Price increase for each book $=Rs.\ \frac{30}{12}$
$=Rs.\ 2.50$
New cost of each book $=Rs.\ 50+2.50=Rs.\ 52.50$
Therefore,
Number of books that can be bought for Rs. 600 $=\frac{600}{52.50}$
$=11.42$
$\approx 11$
We can buy 11 books.
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