Question
For a certain article. If discount is 25% the profit is 25%. If the discount is 10%, then the profit is = ?
Answer: Option A
$$\eqalign{
& {\text{For same article}}, \cr
& \frac{{100 - {d_1}}}{{100 - {d_2}}} = \frac{{100 + {g_1}}}{{100 + {g_2}}} \cr
& \Rightarrow \frac{{100 - 25}}{{100 - 10}} = \frac{{100 + 25}}{{100 + {g_2}}} \cr
& \Rightarrow \frac{{75}}{{90}} = \frac{{125}}{{100 + {g_2}}} \cr
& \Rightarrow 100 + {g_2} = \frac{{90 \times 125}}{{75}} \cr
& \Rightarrow 100 + {g_2} = 150 \cr
& \therefore {g_2} = 50\% \cr} $$
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$$\eqalign{
& {\text{For same article}}, \cr
& \frac{{100 - {d_1}}}{{100 - {d_2}}} = \frac{{100 + {g_1}}}{{100 + {g_2}}} \cr
& \Rightarrow \frac{{100 - 25}}{{100 - 10}} = \frac{{100 + 25}}{{100 + {g_2}}} \cr
& \Rightarrow \frac{{75}}{{90}} = \frac{{125}}{{100 + {g_2}}} \cr
& \Rightarrow 100 + {g_2} = \frac{{90 \times 125}}{{75}} \cr
& \Rightarrow 100 + {g_2} = 150 \cr
& \therefore {g_2} = 50\% \cr} $$
Was this answer helpful ?
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