Ratios & Proportion

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A noodles merchant buys two varieties of noodles the price of the first being twice that of the second. He sells the mixture at Rs 17.50 per kilogram thereby making a profit of $25%$. If the ratio of the amounts of the first noodles and the second noodles in the mixture is $2:3$, then the respective costs of each noodles are


Rs 20, Rs 10


Rs 24, Rs 12


Rs 16, Rs 8


Rs 26, Rs 13

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Option(A) is correct

Let the price of one noodles = $k$

\(\Rightarrow\) the price of other noodle = \(\dfrac{k}{2}\)

Price of 1 kg = \(\dfrac{2k}{5}+\dfrac{3}{5}\times \dfrac{k}{2}=\dfrac{7k}{10}\)

But CP = \(\dfrac{17.50\times 100}{125}=14\)

\(\Rightarrow \dfrac{7k}{10}=14\)

\(\Rightarrow k=20\)

So price of the noodles's are 20 and 10.

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