Question

A tradesman buys a kind of tea at rs 4 per kg and he mixes it with another kind of tea at rs 14 per kg. In what proportion must he mix the two kinds of teas so that the mixture is sold at rs 12 per kg to gain 20%?

Answer 1

Answer: The ratio of two kinds would be 2  : 3.

Step-by-step explanation:

Since we have given that

Cost of first type of tea = $4

Cost of second type of tea = $14

Selling price of mixture at profit = $12

Gain % = 20%

So, cost price would be

$S.P.=\dfrac{100+20}{100}\times C.P.\\\\12=\dfrac{120}{100}\times C.P.\\\\\dfrac{1200}{120}=C.P.\\\\Rs.10=C.P.$

Now, using the method of "Mixture and Allegation" we get that

First type       Second type

 4                        14

            10

---------------------------------

(14-10)    :     (10-4)

 4          :       6

 2         :        3

Hence, the ratio of two kinds would be 2  : 3.