A man has 1044 candles. After burning all of them he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be made:

Options

A. 124
B. 120
C. 130
D. 136

Answer

C

Explanation

According to the question.
1 candle is made from 9 stubs.
So, 116 candles will be made from `(9 xx 116)`
`= 1044 `stubs.
Also, from 116 candles, 12 candles can be made with 8 stubs left over.
`[because 116/9 = 12 " with Remainder 8"]`
Now, total stubs left over = (12 + 8) = 20 out of which two candles can be made with 2 stubs left.
`[because 20/9 = 2 "with Remainder 2 "]`
So, Maximum number of candles that can be made
`= 116 + 12 + 2 = 130.`