Question

Alex wants to mix two different varieties of tea worth 20 dollars per pound and 24 dollars per pound and sell them at a higher price. At what ratio will he have to mix the two varieties to sell at 33 dollars per pound to gain a 10% gain?

• A. 4:5
• B. 6:5
• C. 3:4
• D. 2:3

Answer 1

The correct option is B 6:5

Selling price of 1 pound of mixture = 28 dollars

Cost price
$=\frac{100}{100+\text{Profit percent}}\times \text{Selling price}$

$=\frac{100}{110}\times 33$

$=30\text{dollars}$

By the rule of alligation, we have,


On substituting the given values, we get,


Hence, the required ratio is 6:5.