Question
If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?
Answer: Option A
$$\eqalign{
& {\text{Let}}\,{\text{the}}\,{\text{required}}\,{\text{weight}}\,{\text{be}}\,x\,{\text{kg}}. \cr
& {\text{Less}}\,{\text{weight,}}\,{\text{less}}\,{\text{cost}}\,\left( {{\text{Direct}}\,{\text{Proportion}}} \right) \cr
& \therefore 250:200::60:x \cr
& \Rightarrow 250 \times x = {200 \times 60} \cr
& \Rightarrow x = \frac{{ {200 \times 60} }}{{250}} \cr
& \Rightarrow x = 48 \cr} $$
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$$\eqalign{
& {\text{Let}}\,{\text{the}}\,{\text{required}}\,{\text{weight}}\,{\text{be}}\,x\,{\text{kg}}. \cr
& {\text{Less}}\,{\text{weight,}}\,{\text{less}}\,{\text{cost}}\,\left( {{\text{Direct}}\,{\text{Proportion}}} \right) \cr
& \therefore 250:200::60:x \cr
& \Rightarrow 250 \times x = {200 \times 60} \cr
& \Rightarrow x = \frac{{ {200 \times 60} }}{{250}} \cr
& \Rightarrow x = 48 \cr} $$
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