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7.Profit and Loss
medium
Nitin bought some oranges at $Rs.\, 40$ a dozen and an equal number at $\,30$ a dozen. He sold them at $Rs.\,45$ a dozen and made a profit of $\,480.$ The number of oranges, he bought, was
A
$48$
B
$60$
C
$72$
D
$84$
Solution
Let, the number of oranges bought be $₹x.$
$\therefore$ $C.P.$ of $x$ oranges $=\frac{x \times 40}{2 \times 12}+\frac{x \times 40}{2 \times 12}=₹ \frac{70 x}{24}$
$\therefore$ $S.P.$ of $x$ oranges $=\frac{x \times 45}{12}$
Now, according to the question,
$\frac{45 x}{12}-\frac{70 x}{12}=480$
$\Rightarrow \frac{90 x-70 x}{24}=480$
$x=\frac{480 \times 24}{20}=576=48 \times 12=48$ dozen
Standard 13
Quantitative Aptitude
