Cost Calculation: Finding the Number of Pens
The problem asks us to determine how many pens can be purchased for a specific amount (₹$200$) given the cost of a certain quantity of pens (8 pens for ₹$80$). This is a direct proportion problem.
Step 1: Calculate the Cost Per Pen
First, find the cost of a single pen. We know that 8 pens cost ₹$80$.
Cost per pen = Total Cost / Number of Pens
Cost per pen = $\frac{₹80}{8 \text{ pens}}$
Cost per pen = $₹10$
So, each pen costs ₹$10$.
Step 2: Calculate Pens for ₹200
Now, use the cost per pen to find out how many pens can be bought for ₹$200$.
Number of Pens = Total Amount / Cost per Pen
Number of Pens = $\frac{₹200}{₹10 \text{ per pen}}$
Number of Pens = $20$ pens
Conclusion
Therefore, you can buy $20$ pens for ₹$200$.
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