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A fruit seller has a total of 187 fruits consisting of apples, mangoes and oranges. The number of apples and mangoes are in the ratio 5 : 2. After she sells 75 apples, 26 mangoes and half of the oranges, the ratio of number of unsold apples to number of unsold oranges becomes 3 : 2. The total number of unsold fruits is

Updated On: Jan 13, 2026
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Correct Answer: 66

Solution and Explanation

Let $5x$ be the number of apples, $2x$ be the number of mangoes, and $y$ be the number of oranges. The total number of fruits is:

$5x + 2x + y = 187$, which simplifies to $7x + y = 187$ (Equation 1).

After selling, the remaining fruits are: apples ($5x - 75$), mangoes ($2x - 26$), and oranges ($\frac{y}{2}$). The ratio of unsold apples to unsold oranges is 3:2:

$\frac{5x - 75}{\frac{y}{2}} = \frac{3}{2}$

This simplifies to:

$2(5x - 75) = 3y$, or $10x - 150 = 3y$ (Equation 2).

We now solve the system of two equations: 1. $7x + y = 187$ and 2. $10x - 150 = 3y$.
From Equation 1, we can express $y$ as:

$y = 187 - 7x$.

Substitute this expression for $y$ into Equation 2:

$10x - 150 = 3(187 - 7x)$,
$10x - 150 = 561 - 21x$,
$31x = 711$,
$x = 23$.

Now, substitute $x = 23$ back into Equation 1 to find $y$:

$7(23) + y = 187$,
$161 + y = 187$,
$y = 26$.

The number of unsold fruits are: Apples: $5(23) - 75 = 115 - 75 = 40$.
Mangoes: $2(23) - 26 = 46 - 26 = 20$. 
Oranges: $\frac{26}{2} = 13$.
The total number of unsold fruits is:

$40 + 20 + 13 = 66$.

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In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
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