The ratio in which a grocer mixer two varieties of sugar worth ₹38 per kg and ₹46 per kg respectively so that by selling the mixture at ₹44 per kg, he gains 10% is :

3 : 1

The correct answer is Option (4) → 3 : 1

Let the cost price of the mixture be Rs. x per kg.

Selling Price = Cost Price + 10% of Cost price

$⇒44=x+0.1x$

$⇒x=\frac{44}{1.1}=40$

Using Alligation Method,

$\frac{\text{Cheaper price - Mean price}}{\text{Mean price - expensive price}}=\frac{46-40}{40-38}$

$=\frac{6}{2}=3:1$