A man spent Rs 2800 on buying a number of plants priced at Rs. x each. Because of the number
involved, the supplier reduced the price of each plant by Rupee 1. The man finally paid Rs. 2730 ans
received 10 more plants. Find x.
Answers
Answer:
no.of plants = 2800/x. (1)
no.of plants +10 = 2730/x-1. (2)
by adding 10 on both sides of the equation 1
no.of plants+10 = 2800/x +10
2730/x-1 =2800/x +10
10x^2+60x-2800=0
x^2+6x-280=0
x=14
x = 14
Step-by-step explanation:
A man spent Rs 2800 on buying a number of plants priced at Rs. x
Number of plants bought = 2800/x
supplier reduced the price of each plant by Rupee 1.
=> price per plant = Rs x - 1
Amount paid = 2730 Rs
number of plants bought = 2730/(x - 1)
received 10 more plants
=> 2730/(x - 1) = 2800/x + 10
multiplying both sides by x(x - 1)
=> 2730x = 2800(x - 1) + 10x(x - 1)
=> 2730x = 2800x - 2800 + 10x² - 10x
=> 10x² + 60x - 2800 = 0
=> x² + 6x - 280 = 0
=> x² + 20x - 14x - 280 = 0
=> x(x + 20) - 14(x + 20) = 0
=> (x - 14)(x + 20) = 0
=> x = 14 , x = -20
x can not be -v3
x = 14
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