1. Mr Ram Sabarwal invested rupees 18000 at 9 percent per annum ,rupees 7000 at 6 percent per annum and rupees to 2000 at 4 percent per annum. find the average rate of simple interest on his investment
2. Out of the total population of students in a certain town, 60% wore spectacles and the rest did not. It was estimated that the marks scored by them were respectively 85 and 69. Find the average marks of all students in this town.
3. Compare the Arithmetic mean, median and mode on the basis of the requisites for a good measure of central Tendency. Also write one example each where we can find only A mean, median or mode
how to solve it?
Answers
Given : Mr Ram Sabarwal invested rupees 18000 at 9 percent per annum ,rupees 7000 at 6 percent per annum and rupees to 2000 at 4 percent per annum.
To find : the average rate of simple interest on his investment
Solution:
Let say Time = T
SI = P * R * T /100
SI = Simple interest
18000 at 9 percent per annum
= 18000 * 9 * T /100 = 1620T
7000 at 6 percent per annum
= 7000 * 6 * T /100 = 420T
2000 at 4 percent per annum.
= 2000 * 4 * T /100 = 80T
1620T + 420T + 80T = 2120T
18000 + 7000 + 2000 = 27000
27000 * R * T /100 = 2120T
=> R = 2120 /270
=> R = 7.85
average rate of simple interest on his investment = 7.85 %
85 * 0.6 + 69*0.4 = 78.6 average marks of all students
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