A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
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A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Q2. Tea 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. 153 per kg, the price of the third variety per kg will be:
A. Rs. 100
B. Rs. 175.50
C. Rs. 120.50
D. Rs. 162.50
Answer: Option C Explanation: Since first and second varieties are mixed in equal proportions. 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: => x – 153 = 22.50
So, their average price = Rs.
126 + 135
= Rs. 130.50
2
Cost of 1 kg of 1st kindCost of 1 kg tea of 2nd kind
Rs. 130.50
Mean Price
Rs. 153Rs. x
(x – 153)
22.50
x – 153
= 1
22.50
=> x = 175.50
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