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 ? Rs. 1200 Rs. 2400 Rs. 4800 None of these
Question
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 ? Rs. 1200 Rs. 2400 Rs. 4800 None of these
Solution
Let's denote the price of a saree as S and the price of a shirt as T.
From the problem, we have two equations:
- 2S + 4T = 1600
- S + 6T = 1600
We can simplify the first equation to S + 2T = 800.
Now, we subtract the simplified first equation from the second equation:
S + 6T - (S + 2T) = 1600 - 800 4T = 800 T = 200
Substitute T = 200 into the first equation:
S + 2*200 = 800 S = 800 - 400 S = 400
So, the price of a saree is Rs. 400 and the price of a shirt is Rs. 200.
If one wants to buy 12 shirts, he will have to pay:
12 * 200 = Rs. 2400.
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