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 ₹$200$.