I am a coin. If you take 30 coins like me, you can make more than Rs. 5. If you take 20 coins like me, you will make less than Rs. 5. What is my value?
Question
I am a coin. If you take 30 coins like me, you can make more than Rs. 5.
If you take 20 coins like me, you will make less than Rs. 5.
What is my value?
Solution
The problem can be solved by setting up two inequalities based on the information given:
- The value of 30 coins is more than Rs. 5.
- The value of 20 coins is less than Rs. 5.
Let's denote the value of the coin as x. Then we can write the inequalities as follows:
- 30x > 5
- 20x < 5
Now, we can solve these inequalities:
- Divide both sides of the first inequality by 30: x > 5/30 = 0.1667
- Divide both sides of the second inequality by 20: x < 5/20 = 0.25
So, the value of the coin is more than Rs. 0.1667 and less than Rs. 0.25. The only coin that satisfies this condition is the Rs. 0.2 coin. Therefore, the value of the coin is Rs. 0.2.
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