## Averages, Ratio and Proportion Test 2

Instructions

For the following questions answer them individually

Q 1

If $$\frac{a}{b}=\frac{9}{17}$$, what is the value of $$\frac{2.5a+3b}{5.5a-2.5b}$$

Q 2

A dishonest milkman dilutes milk by adding water. He has 90 liters of milk with him initially and he adds 10 liters of water to make the total solution 100 liters. He sells 10 liters of the solution and adds water again to make the solution 100 liters. He continues this process and in total, he adds water 5 times. Find the percentage of pure milk in the final solution.

Q 3

In a group of 15 men, Mahesh is married and Suresh is a bachelor. Excluding Mahesh and Suresh, there are 7 married people and n bachelors in the group. Including Suresh but excluding Mahesh, there are m married people and p bachelors in the group. What is the value of (m + n + p)?

Q 4

The mean and median of five natural numbers is 6. The only mode is 10. What is the sum of the highest and lowest numbers?

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789
456
123
0.-
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Q 5

In India, there are two kinds of athletes, amateur athletes and elite athletes. Amateur athletes spend an average of Rs. 20,000 per year and constitute 70% of the total athletes. If the average expenditure of all the athletes is Rs. 29,000, what is the average expenditure of elite athletes?