Average Mixture & Alligation Level-1 Quiz-2

1. The average runs scored by a batsman in 20 matches is 40. In the next 10 matches, the batsman scored an average of 13 runs. Find his average score in all the 30 matches is?

2. There are 50 students in a class. Their average weight is 45 kg. When one student leaves the class the average weight reduces by 100g. What is the weight of the student who left the class ?

3. Rupees 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a. simple interest. The total interest at the end of one year was Rupees 450. Find the ratio of the amounts lent at the lower rate and the higher rate of interest.

4. The average marks scored by Mahesh in five out of six subjects in an exam is 60. If Mahesh scored an average of 75 marks in the six subjects, find his score in the sixth subject.

5. The ratio of the number of boys to the number of girls in a class is 3 : 5. If the average weights of the boys and the girls in the class are 20 kg and 16 kg, respectively, find the average weight of the students in the class (in kg)

6. The average of the first ten two-digit natural numbers is?

7. If two kinds of grapes costing Rupees 16 a kg and Rupees 21 a kg are mixed in the ratio of 2 : 3, then find the cost of mixture per kg.(in Rupees )

8. A trader claims to sell jeera at cost price but mixes freely available sand and thereby gains 25%. What is the percentage of sand in the mixture?

9. Find the average of the numbers 41, 45, 49, 53, 57, 61, 65, 69 and 73.

10. The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group.