Question

In what ratio must a grocer mix two varieties of pulses costing Rs.$15$ and Rs.$20$ per kg respectively so as to get a mixture worth Rs.$16.50$ kg?

• A. $3:7$
• B. $5:7$
• C. $7:3$
• D. $7:5$

Answer 1

The correct option is C $7:3$

Consider the amount of pulse of price $Rs15$ $=x$

And the amount of pulse of price $Rs20$ $=y$

Then the total amount of mixture $=15x+20y$

But the price per $kg$ of mixture $=Rs16.50$

So, total price of $x+ykg$ $=16.50(x+y)$

Now according to the equation

$16.50(x+y)=15x+20y$

$16.50x+16.50y=15x+20y$

$1.50x=3.50y$

$\frac{x}{y}=\frac{3.50}{1.50}=\frac{0.7}{0.3}=\frac{7}{3}$

Hence, required Ratio is $7:3$

So, the Option $C$ is the correct answer.