# Moderate Ratios & Proportion Solved QuestionAptitude Discussion

 Q. 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
 ✔ A. Rs 20, Rs 10 ✖ B. Rs 24, Rs 12 ✖ C. Rs 16, Rs 8 ✖ D. Rs 26, Rs 13

Solution:
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.