Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2.

Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 154 per Kg , the price of the third variety per Kg will be?

Quiz

Answer/Solution

Rs. 176.50

Steps/Work

Explanation :
Since first and second varieties are mixed in equal proportions.
So, their average price =Rs. (126+135)/2.
=>Rs. 130.50.
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1.
We have to find x.
By the rule of alligation, we have:
Cost of 1 kg Cost of 1 kg
of 1st kind of 2nd kind
(Rs. 130.50) (Rs. x)
\ /
Mean Price
(Rs. 154)
/ \
x−154 22.50
=>x−(154/22.50)=1.
=>x−154=22.50.
=>x= 176.50 Rs.
Answer : C

Other Calculator / Auto Solver

Teas worth $ per kg and $ per kg are mixed with a third variety in the ratio : : . If the mixture is worth rs per kg, the price of the third variety per kg will be?

Calculated Answer

177.5

Step by Step Solution

In order to solve problem, you must evaluate (n5 * (n4 + n2 + n2) - (n0 + n1)) / n4.

n0 =126
n1 =135
n2 =1
n3 =1
n4 =2
n5 =154