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
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:
- 2S + 3T = 5400
- 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.
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