SOLUTION: A lady purchased one piece of clothes for Rs 1600.had the price rate of cloths been rs 40 per meter less, then she would purchased 2meter clothes more in the same amount. Find the

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Question 1012106: A lady purchased one piece of clothes for Rs 1600.had the price rate of cloths been rs 40 per meter less, then she would purchased 2meter clothes more in the same amount. Find the measure of clothe and price per meter
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
How many meters of cloth ?
Price / meter ?
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Let +p+ = unit price in Rs/meter
Let +c+ = meters of cloth actually purchased
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(1) +p%2Ac+=+1600+
(2) +%28+p+-+40+%29%2A%28+c+%2B+2+%29+=+1600+
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(1) +p+=+1600%2Fc+
and
(2) +p%2Ac+-+40c+%2B+2p+-+80+=+1600+
(2) +p%2Ac+%2B+2p+-+40c+=+1680+
(2) +p%2A%28+c+%2B+2+%29+-+40c+=+1680+
(2) +%28+1600%2Fc+%29%2A%28+c+%2B+2+%29+-+40c+=+1680+
(2) +1600+%2B+3200%2Fc+-+40c+=+1680+
(2) +3200%2Fc+-+40c+=+80+
(2) +80%2Fc+-+c+=+2+
(2) +80+-+c%5E2+=+2c+
(2) +c%5E2+%2B+2c+-+80+=+0+
(2) +%28+c+%2B+10+%29%2A%28+c+-+8+%29+=+0+ ( by inspection )
+c+=+8+ ( must be positive )
and
(1) +p+=+1600%2Fc+
(1) +p+=+1600%2F8+
(1) +p+=+200+
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She purchased 8 meters of cloth
The price/meter was Rs 200
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check:
(2) +%28+p+-+40+%29%2A%28+c+%2B+2+%29+=+1600+
(2) +%28200+-+40+%29%2A%28+8+%2B+2+%29+=+1600+
(2) +160%2A10+=+1600+
(2) +1600+=+1600+
OK