I have two 10 paise coins. If 4/5 of what I have is 8/9 of what you have, how much do you have?
Answers
Answer:
If 4/5 of what I have is 8/9 of what you have, how much do I have then? I have two 10 paisa coins. If 4/5 of what I have is 8/9 of what you have, how much do I have then? x = 18.
Given:
The number of 10 paise coins=2
To find:
The amount of money with you if 4/5 of what I have is 8/9 of what you have
Solution:
The amount of money with you if 4/5 of what I have is 8/9 of what you have is 18 paise.
We can find the amount by following the given process-
Let us assume that the amount of money with you is X.
We know that I have 2 coins of 10 paise.
So, the total of money that I have=2×10=20 paise.
Now, we are given that 4/5 of what I have is 8/9 of what you have.
The 4/5th of what I have=4/5 of 20 paise
=4/5×20
=4×4
=16 paise
Also, 8/9 of what you have=8/9 of X.
=8X/9
On equating these, we get
8X/9=16
8X=16×9
X=16×9/8
X=2×9
X=18 paise
Therefore, the amount of money with you if 4/5 of what I have is 8/9 of what you have is 18 paise.