one person purchased some cloths for ₹2250 had the price of cloth been ₹50 per metre higher. Then he would have been able to purchase the cloth less by 1.5m. Find the measure of cloth purchased and price per meter
Answers
Given : one person purchased some cloths for ₹2250 had the price of cloth been ₹50 per metre higher.
Then he would have been able to purchase the cloth less by 1.5m.
To Find : the measure of cloth purchased and price per meter
Solution:
Let say Price of cloth = P Rs/m
Cloth purchased = 2250/P
price of cloth been ₹50 per metre higher.
=> Price of cloth = P + 50 Rs/m
Cloth Purchased = 2250/(P + 50)
2250/(P + 50) = 2250/P - 1.5
=> 2250P = 2250(P + 50) - 1.5P(P + 50)
=> 0 = 2250 * 50 - 1.5P(P + 50)
=> 0 = 2250 * 100 - 3P(P + 50)
=> 0 = 750 * 100 - P(P + 50)
=> P² + 50P - 75000 = 0
=> P² + 300P - 250P - 75000 = 0
=> P(P + 300) - 250(P + 300) = 0
=> (P - 250)(P + 300) = 0
=> P = 250 as price can not be negative
Price of cloth = 250 Rs/m
Cloth purchased = 2250/250 = 9 m
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Answer:
the cloth purchased is 9 meters.
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