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The average state of the city in the first 4 days of a month was 116 degrees. The average for the second, third, fourth and fifth days was 120 degrees. If the state of the first and fifth days were in the ratio 7:8 then what is the state on the fifth day. A) 112degrees B) 128degrees C) 132degrees D) 130degrees
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 B)

 Sum of states on 1st, 2nd, 3rd, 4th days = (116 *4) = 464 =======>A

Sum of states on 2nd, 3rd, 4th and 5th days = (120 * 4)= 480 ======>b

From a and b

Subtracting each other we get,

State on 5th day – state on 1st day = 16 degrees

Let the state on 1st and 5th days be 7x and 8x degrees respectively

Then 8x – 7x = 16

x = 16

therefore state on the 5th day = 8x = 128 degrees.
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