(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

Medium

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

The $CP$ of $19$ articles is equal to the selling price $(SP)$ of $15$ articles. What is the gain percentage?

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$A$ dealer buys a table listed at $Rs. 1,500$ and gets successive discounts of $20 \%$ and $10 \%$. He spends $Rs. 20$ on transportation and sells it at a profit of $20 \%$. Find the selling price of the table (in $Rs.$).

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The cost price of $20$ articles is the same as the selling price of $x$ articles. If the profit is $25 \%$,then the value of $x$ is:

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$A$ trader marks the price of his goods $25 \%$ above the cost price but allows a $12.5 \%$ discount for cash payment. If he sells the goods for $Rs. 875$,find the cost price of the goods (in $Rs.$).

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$A$ pair of articles was bought for $Rs. 37.40$ at a discount of $15 \%$. What must be the marked price of each of the articles?

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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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The $CP$ of $19$ articles is equal to the selling price $(SP)$ of $15$ articles. What is the gain percentage?

$A$ dealer buys a table listed at $Rs. 1,500$ and gets successive discounts of $20 \%$ and $10 \%$. He spends $Rs. 20$ on transportation and sells it at a profit of $20 \%$. Find the selling price of the table (in $Rs.$).

The cost price of $20$ articles is the same as the selling price of $x$ articles. If the profit is $25 \%$,then the value of $x$ is:

$A$ trader marks the price of his goods $25 \%$ above the cost price but allows a $12.5 \%$ discount for cash payment. If he sells the goods for $Rs. 875$,find the cost price of the goods (in $Rs.$).

$A$ pair of articles was bought for $Rs. 37.40$ at a discount of $15 \%$. What must be the marked price of each of the articles?

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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.
$I.$ $2x^2 + 19x + 45 = 0$
$II.$ $2y^2 + 11y + 12 = 0$