6. A charitable organization decided to give old age pensions to people
age. The scale of pensions were fixed as follows:
60-65
Rs 200 per month
65-70
250 per month
70-75
300 per month
75-80
350 per month
80-85
400 per month
The ages of 25 persons who secured the pensions right are as given be
74 62 84 72 61 83 72 81 64 71
60 67 74
79 73
76 69 68
64
Calculate monthly average pensions payable per person and the standa
Answers
Answer:
60 - 65 = 1000
65-70 = 750
70-75 = 1800
75-80 = 700
80-85 = 1200
Total no. of people = 19
Average is 286.84 Rs
Given :
Table showing age and pension :
Age Pension ( Rs. Per month )
60-65 200
65-70 250
70-75 300
75-80 350
80-85 400
The ages of 25 persons who secured the pensions right are as given be
74 62 84 72 61 83 72 81 64 71 60 67 74 79 73 76 69 68 64
Table showing Age scale and no. of people lying in that scale :
Age scale Ages of people No. of people
60-65 62 61 64 60 64 5
65-70 67 69 68 3
70-75 74 72 72 71 74 73 6
75-80 79 76 2
80-85 84 83 81 3
To find :
monthly average pensions payable per person and the standa
Solution :
Table showing monthing average pensions payable
Age scale Ages of people No. of people Pension
60-65 62 61 64 60 64 5 200*5 = 1000
65-70 67 69 68 3 250*3 = 750
70-75 74 72 72 71 74 73 6 300*6 = 1800
75-80 79 76 2 350*2 = 700
80-85 84 83 81 3 400*3 = 1200
Total penion = 1000 + 750 + 1800 + 700 + 1200 = 5450
Total no. of people = 5 + 3 + 6 + 2 + 3 = 19
Therefore,
the average pension per persion = total pension / no. of people
= 5450 / 19
= 286.8421
Hence, monthly average pensions payable per person = Rs. 286.8421
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