manik has a sum of money ,he saved 1/4 of it and spent 4/9of the remainder on a bike;
1-what fraction of his money was spent on the bike
look how I just did this one.
Yours is very similar
http://www.jiskha.com/display.cgi?id=1468408379
To find out what fraction of his money was spent on the bike, we first need to determine how much money Manik saved.
Given that Manik saved 1/4 of his money, this means the amount he saved is equal to 1/4 of the total sum of money he had.
Next, we need to calculate the remainder of the money after he saved.
Since Manik saved 1/4 of his money, the remainder is equal to 1 - 1/4 = 3/4 of the total amount.
The next step is to determine how much money Manik spent on the bike. The question states that he spent 4/9 of the remainder on the bike.
To calculate the amount spent on the bike, we multiply the remainder by 4/9: (3/4) × (4/9) = 12/36.
Therefore, Manik spent 12/36 of his money on the bike.
Simplifying 12/36 gives us 1/3. So, the fraction of his money spent on the bike is 1/3.