The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?

By BYJU'S Exam Prep

Updated on: September 25th, 2023

In this problem, we are given the prices of sarees and shirts and asked to determine the cost of purchasing 12 shirts. Given that the price of 2 sarees and 4 shirts is Rs. 1600, and with the same amount of money, one can buy 1 saree and 6 shirts, we can determine the individual price of one shirt to be Rs. 200. Therefore, to buy 12 shirts, one would have to pay Rs. 2400. Let’s understand it step-by-step.

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1. Solution:
2. The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?

Solution:

To solve this problem, let’s assume the cost of one saree is ‘a’ and the cost of one shirt is ‘b’.

According to the given information, the price of 2 sarees and 4 shirts is Rs. 1600, which can be expressed as:

2a + 4b = 1600 —-(1)

It is also mentioned that with the same amount of money, one can buy 1 saree and 6 shirts, so we have:

a + 6b = 1600 —-(2)

In order to find the cost of 12 shirts, we need to multiply equation (2) by 2 to match the number of sarees:

2a + 12b = 3200 —-(3)

Now, let’s subtract equation (1) from equation (3) to eliminate ‘a’:

(2a + 12b) – (2a + 4b) = 3200 – 1600

This simplifies to:

8b = 1600

b = 1600/8

b = 200

Now, substitute the value of ‘b’ into equation (2) to find the cost of one saree:

a + 6(200) = 1600

a + 1200 = 1600

a = 400

So, the cost of one saree is Rs. 400 and the cost of one shirt is Rs. 200.

To find the cost of 12 shirts, multiply the cost of one shirt by 12:

12 x 200 = Rs. 2400

Therefore, to buy 12 shirts, one would have to pay Rs. 2400.

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