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Two sarees and three shirts cost INR 5400. With the same money, one can buy one saree and six shirts. Abhi buys 3 sarees and 5 shirts. If he had INR 8500 with him, how much money (in rupees) is left with him after purchase?Marks : 1Negative Marks : 0Answer here10090150200

Question

Two sarees and three shirts cost INR 5400. With the same money, one can buy one saree and six shirts. Abhi buys 3 sarees and 5 shirts. If he had INR 8500 with him, how much money (in rupees) is left with him after purchase?Marks : 1Negative Marks : 0Answer here10090150200

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Solution

Let's denote the cost of one saree as S and the cost of one shirt as T.

From the problem, we have two equations:

  1. 2S + 3T = 5400
  2. S + 6T = 5400

We can solve these equations to find the values of S and T.

First, let's multiply the second equation by 2:

2S + 12T = 10800

Now, let's subtract the first equation from this:

2S + 12T - (2S + 3T) = 10800 - 5400

This simplifies to:

9T = 5400

So, T = 5400 / 9 = 600

Substitute T = 600 into the first equation:

2S + 3*600 = 5400

2S + 1800 = 5400

2S = 5400 - 1800 = 3600

So, S = 3600 / 2 = 1800

Now, we know that one saree costs INR 1800 and one shirt costs INR 600.

Abhi buys 3 sarees and 5 shirts, so the total cost is:

31800 + 5600 = 5400 + 3000 = 8400

Abhi had INR 8500 with him, so the amount left after the purchase is:

8500 - 8400 = 100

So, Abhi has INR 100 left after the purchase.

This problem has been solved

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