A lady purchased one piece of cloth for rs.1600.Had the price rate of cloth been rs.40 per metre less, then she would have
Answers
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+