Question

The ratio in which tea costing Rs. $192$ per kg is to be mixed with tea costing Rs. $150$ per kg, so that the mixed tea when sold for Rs. $194.40$ per kg, gives a profit of $20\%$

• A. $2:5$
• B. $3:5$
• C. $5:3$
• D. $5:2$

Answer 1

The correct option is A $2:5$

C.P of first tea $=$ Rs. $192$ per kg

C.P of second tea $=$ Rs. $150$ per kg

S.P of the mixture $=$ Rs. $194.40$ per kg.

Profit $=20\%$

Let C.P of the mixture be Rs. $x$ per kg

$\Rightarrow x+20$% of $x$ $=194.40$

$\Rightarrow \frac{6x}{5}=194.40$

$\Rightarrow 6x=194.40\times 5$

$\Rightarrow x=\frac{972}{6}$

$\Rightarrow x=$ Rs. $162$ per kg

Let $N$ kg is the first tea and $N$ kg is the second tea

Then using Alligation, we have

First Tea $=162-150=12$

Second tea $=192-162=30$

$\Rightarrow \frac{M}{N}=\frac{12}{30}$

$\Rightarrow N:M=2:5$