The profit on selling an article for ₹1,100 is equal to three times the amount of loss on selling it for ₹700. To gain 12.5%, the article must be sold for:
Suppose cost price (cp) = $$x$$
then according to question $$1100 -x =3 (x-700)$$
$$\Rightarrow 1100 - x = 3x-2100$$
$$\Rightarrow 4x = 3200 $$
$$\Rightarrow x = 800 $$
so gain 12.5% profit
profit = $$\dfrac {12.5}{100}\times 800 $$
$$\Rightarrow 100 $$
so article must sold = 800 + 100 = 900 Ans
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