During a week-long health camp, a hospital treated an average of 88 patients per day over the first four days. On the last two days, the number of patients treated was in the ratio 3:1. If the average number of patients treated over all six days was 96, how many patients were treated on the fifth day?
(a) 160
(b) 200
(c) 156
(d) 168

Question

During a week-long health camp, a hospital treated an average of 88 patients per day over the first four days. On the last two days, the number of patients treated was in the ratio 3:1. If the average number of patients treated over all six days was 96, how many patients were treated on the fifth day?
(a) 160
(b) 200
(c) 156
(d) 168

ONLiNE UPSC · Accepted Answer

First 4 days total = 88 &times; 4= 352
6-day total = 96 &times; 6 = 576
Last 2 days total = 576 &ndash; 352 = 224
Let day 5 = 3x, day 6 = x
3x + x = 224
x = 56
So, day 5 = 3 &times; 56 = 168 patients were treated.
Hence, option d is correct.

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During a week-long health camp, a hospital treated an average of 88 patients per day over the first four days. On the last two days, the number of patients treated was in the ratio 3:1. If the average number of patients treated over all six days was 96, how many patients were treated on the fifth day? (a) 160 (b) 200 (c) 156 (d) 168