A shopkeeper decided the price of 2 sarees and 4 shirts to be ₹1,600 . With the same money, one can buy 1 saree and 6 shirts. If I want to buy 12 shirts how much shall I have to pay?

Given:

2 sarees + 4 shirts = ₹1,600

1 saree + 6 shirts = ₹1,600

Calculation:

First, let's find out the cost of one saree. We can subtract the cost of 4 shirts from ₹1,600:

₹1,600 - (4 shirts) = cost of 2 sarees

Next, let's find the cost of one saree:

cost of 2 sarees = ₹1,600 - (4 shirts)

Now, we can divide the cost of 2 sarees by 2 to find the cost of one saree:

cost of one saree = (₹1,600 - (4 shirts))/2

Using the second equation, we know that 1 saree + 6 shirts = ₹1,600. We can substitute the value of one saree from the above calculation into this equation:

(₹1,600 - (4 shirts))/2 + 6 shirts = ₹1,600

Now, let's simplify the equation:

₹1,600 - (4 shirts) + 12 shirts = ₹1,600

Combine like terms:

8 shirts = ₹1,600

Now, divide both sides of the equation by 8 to find the cost of one shirt:

cost of one shirt = ₹1,600/8

cost of one shirt = ₹200

Finally, to find the cost of 12 shirts, we can multiply the cost of one shirt by 12:

cost of 12 shirts = ₹200 × 12

cost of 12 shirts = ₹2,400

Therefore, you will have to pay ₹2,400 to buy 12 shirts.