Incorrect question (Question:321038.0)

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SACHIN MALIK

· started a discussion

· 1 Months ago

Incorrect question (Question:321038.0)

Selling price is not asked in the question whereas cost price is asked

Question:

The marked price of an article is 100% above cost price. When marked price is increased by 50% and selling price is increased by 16.67% the profit become $\frac{3}{2}$ times. If original price marked price is Rs. 400 then original price is?

Options:

700

100

300

350

Solution:

M.P. = 400 Rs.

Then C.P. = $400 \times \frac{100}{200} = 200$ Rs.

I^st condtion

Let selling price is = $x$

Profit = $200 - x$

II^nd condition

Selling price is = $x (1 + \frac{1}{6}) = x \times \frac{7}{6}$

Profit = $200 - \frac{7 x}{6}$

Now $(200 - x) \frac{3}{2} = (200 - \frac{7}{6} x)$

$\begin{matrix} \Rightarrow 1800 - 9 x = 1200 - 7 x \\ \Rightarrow 2 x = 600 \\ \Rightarrow x = 300 \end{matrix}$

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Incorrect question (Question:321038.0)

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