Two types of tea costing Rs. 180/kg and Rs. 280/kg. In what ratio should these be mixed so that obtained mixture sold at Rs. 320/kg to earn a profit of 20% is ?
A. 3 : 13 B. 4 : 13 C. 1 : 13 D. 2 : 13 Answer: Option DShow Answer
Solution(By Apex Team)
According to the question,
Selling price of the mixture
= Rs. 320, Gain = 20%
∴ Cost price of the mixture
$\begin{aligned}&=320\times\frac{100}{120}\\
&=\text{ Rs. }\frac{800}{3}\end{aligned}$
Now using alligation method
$\begin{array}{l}\text{ Ratio of quantity }\\
=\ 40:260\\
=\ 2:13\end{array}$
$\begin{array}{l}\text{ Ratio of quantity }\\
=\ 40:260\\
=\ 2:13\end{array}$
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