Question

Stonechips, sand and cement are mixed in the ratio $4:3:2$ to make a mixture of $27$ quintal. How much sand is to be mixed into the mixture to make the ratio $6:5:3$?

• A. $1kg$
• B. $20kg$
• C. $5kg$
• D. $25kg$

Answer 1

The correct option is A $1kg$

$4:3:2$

$4x+3x+2x=27$

$9x=27$

$\Rightarrow x=3$

Sand $=\left(3\right)\left(3\right)=9$ kg

Stone $=\left(4\right)\left(3\right)=12$ kg

Cement $=2\left(3\right)=6$ kg

Let $x$ be a sand mix

$\frac{6}{5}=\frac{12}{9+x}=9+x=10$

$x=1$ kg.