(C) For equation $I$: $2x^2 + 19x + 45 = 0$$2x^2 + 10x + 9x + 45 = 0$$2x(x + 5) + 9(x + 5) = 0$$(2x + 9)(x + 5) = 0$$x = -4.5$ or $x = -5$For equation

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(C) For equation $I$: $2x^2 + 19x + 45 = 0$$2x^2 + 10x + 9x + 45 = 0$$2x(x + 5) + 9(x + 5) = 0$$(2x + 9)(x + 5) = 0$$x = -4.5$ or $x = -5$For equation $II$: $2y^2 + 11y + 12 = 0$$2y^2 + 8y + 3y + 12 = 0$$2y(y + 4) + 3(y + 4) = 0$$(2y + 3)(y + 4) = 0$$y = -1.5$ or $y = -4$Comparing the values:$x = -4.5, -5$$y = -1.5, -4$Since both values of $x$ are less than both values of $y$ (i.e.,$-5 < -4$ and $-4.5 < -1.5$),we conclude that $x < y$.

Competitive Quantitative Aptitude Profit and Loss Profit and Loss

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In these questions,two equations numbered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.
$I.$ $2x^2 + 19x + 45 = 0$
$II.$ $2y^2 + 11y + 12 = 0$

A
If $x > y$
B
If $x \geq y$
C
If $x < y$
D
If relationship between $x$ and $y$ cannot be determined

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Profit and Loss

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Profit and Loss

Ravi purchases $90$ pens and sells $40$ pens at a gain of $10 \%$ and $50$ pens at a gain of $20 \%$. Had he sold all of them at a uniform profit of $15 \%$,he would have got $Rs. 40$ less. Find the cost price of each pen in $Rs$.

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By selling $100$ oranges,a vendor gains the selling price of $20$ oranges. His gain percent is

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$A$ shopkeeper labeled the price of his articles in order to earn a profit of $30 \%$ on the cost price. He,then,sold the articles by offering a discount of $10 \%$ on the labelled price. What is the actual rate of profit he earned in the deal? (in $\%$)

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$A$ shopkeeper sold an article offering a discount of $5 \%$ and earned a profit of $23.5 \%$. What would have been the percentage of profit earned if no discount had been offered?

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$A$ fruit seller sells $\frac{3}{5}$ th part of fruit at a profit of $10 \%$ and the remaining at a loss of $5 \%$. If the total profit is $Rs. 1500$,then what is the total cost price of the fruit in $Rs.$?

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In these questions,two equations numbered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.$I.$ $2x^2 + 19x + 45 = 0$$II.$ $2y^2 + 11y + 12 = 0$

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Ravi purchases $90$ pens and sells $40$ pens at a gain of $10 \%$ and $50$ pens at a gain of $20 \%$. Had he sold all of them at a uniform profit of $15 \%$,he would have got $Rs. 40$ less. Find the cost price of each pen in $Rs$.

By selling $100$ oranges,a vendor gains the selling price of $20$ oranges. His gain percent is

$A$ shopkeeper labeled the price of his articles in order to earn a profit of $30 \%$ on the cost price. He,then,sold the articles by offering a discount of $10 \%$ on the labelled price. What is the actual rate of profit he earned in the deal? (in $\%$)

$A$ shopkeeper sold an article offering a discount of $5 \%$ and earned a profit of $23.5 \%$. What would have been the percentage of profit earned if no discount had been offered?

$A$ fruit seller sells $\frac{3}{5}$ th part of fruit at a profit of $10 \%$ and the remaining at a loss of $5 \%$. If the total profit is $Rs. 1500$,then what is the total cost price of the fruit in $Rs.$?

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In these questions,two equations numbered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.
$I.$ $2x^2 + 19x + 45 = 0$
$II.$ $2y^2 + 11y + 12 = 0$