We get 2 litres of kerosene less in Rs. 360 i | vedclass

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Question

(B) Let the original price of kerosene be $x$ Rs./litre.Total amount spent = Rs. $360$.Original quantity of kerosene = $\frac{360}{x}$ litres.New pric

Vedclass · Accepted Answer

$18$

Vedclass · Answer

(B) Let the original price of kerosene be $x$ Rs./litre.Total amount spent = Rs. $360$.Original quantity of kerosene = $\frac{360}{x}$ litres.New price of kerosene = $(x + 2)$ Rs./litre.New quantity of kerosene = $\frac{360}{x + 2}$ litres.According to the problem,the difference in quantity is $2$ litres:$\frac{360}{x} - \frac{360}{x + 2} = 2$Divide by $2$:$\frac{180}{x} - \frac{180}{x + 2} = 1$$180(x + 2) - 180x = x(x + 2)$$180x + 360 - 180x = x^2 + 2x$$x^2 + 2x - 360 = 0$$(x + 20)(x - 18) = 0$Since price cannot be negative,$x = 18$.Therefore,the original price of kerosene is Rs. $18$ per litre.

We get $2$ litres of kerosene less in Rs. $360$ if the price of kerosene increases by Rs. $2$ per litre. Find the original price of kerosene per litre.

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