(C) For equation $I$: $3x^2 - 13x + 12 = 0$$3x^2 - 9x - 4x + 12 = 0$$3x(x - 3) - 4(x - 3) = 0$$(3x - 4)(x - 3) = 0$$x = 4/3 \approx 1.33$ or $x = 3$Fo

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(C) For equation $I$: $3x^2 - 13x + 12 = 0$$3x^2 - 9x - 4x + 12 = 0$$3x(x - 3) - 4(x - 3) = 0$$(3x - 4)(x - 3) = 0$$x = 4/3 \approx 1.33$ or $x = 3$For equation $II$: $2y^2 - 15y + 28 = 0$$2y^2 - 8y - 7y + 28 = 0$$2y(y - 4) - 7(y - 4) = 0$$(2y - 7)(y - 4) = 0$$y = 7/2 = 3.5$ or $y = 4$Comparing the values:$x = 1.33, 3$$y = 3.5, 4$Since $1.33 < 3.5$,$1.33 < 4$,$3 < 3.5$,and $3 < 4$,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.
$I.$ $3x^2 - 13x + 12 = 0$
$II.$ $2y^2 - 15y + 28 = 0$

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

$A$ man buys $100 \, kg$ of sugar for $Rs. \, 2400$. He sold $1/4$th of the stock at a loss of $5 \%$. At what per cent profit should he sell the remaining stock so as to make an overall profit of $20 \%$ on the whole transaction? (in $\%$)

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Arun purchased $30 \, kg$ of wheat at the rate of $Rs. \, 11.50$ per $kg$ and $20 \, kg$ of wheat at the rate of $Rs. \, 14.25$ per $kg$. He mixed the two and sold the mixture. Approximately at what price per $kg$ should he sell the mixture to make $30 \%$ profit? (in $Rs.$)

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$A$ man sold a cow at a loss of $12 \%$. If he had sold it at a gain of $6 \%$,he would have received $₹ 72$ more. What was the cost price of the cow?

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$A$ shopkeeper allows $23 \%$ commission on his advertised price and still makes a profit of $10 \%$. If he gains $₹ 56$ on one item,what is the advertised price of the item in $₹$?

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The list price of an article at a showroom is $Rs. 2000$ and it is being sold at successive discounts of $20 \%$ and $10 \%$. Its net selling price will be (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.$I.$ $3x^2 - 13x + 12 = 0$$II.$ $2y^2 - 15y + 28 = 0$

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$A$ man buys $100 \, kg$ of sugar for $Rs. \, 2400$. He sold $1/4$th of the stock at a loss of $5 \%$. At what per cent profit should he sell the remaining stock so as to make an overall profit of $20 \%$ on the whole transaction? (in $\%$)

Arun purchased $30 \, kg$ of wheat at the rate of $Rs. \, 11.50$ per $kg$ and $20 \, kg$ of wheat at the rate of $Rs. \, 14.25$ per $kg$. He mixed the two and sold the mixture. Approximately at what price per $kg$ should he sell the mixture to make $30 \%$ profit? (in $Rs.$)

$A$ man sold a cow at a loss of $12 \%$. If he had sold it at a gain of $6 \%$,he would have received $₹ 72$ more. What was the cost price of the cow?

$A$ shopkeeper allows $23 \%$ commission on his advertised price and still makes a profit of $10 \%$. If he gains $₹ 56$ on one item,what is the advertised price of the item in $₹$?

The list price of an article at a showroom is $Rs. 2000$ and it is being sold at successive discounts of $20 \%$ and $10 \%$. Its net selling price will be (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.
$I.$ $3x^2 - 13x + 12 = 0$
$II.$ $2y^2 - 15y + 28 = 0$