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The rainfall in Shillong for the first two days was in the ratio of 6 : 7. The average rainfall for the last four days was recorded to be 0.90 inch. The average rainfall of six days was 1.25 inch. Which of the following is/are correct? A. Average rainfall on 2nd day is 2.8 inch B. Average rainfall on 1st day is 1.8 inch C. Average rainfall on 2nd day is 2.1 inch D. Average rainfall on 1st day is 2.4 inch

The rainfall in Shillong for the first two days was in the ratio of 6 : 7. The average rainfall for the last four days was recorded to be 0.90 inch. The average rainfall of six days was 1.25 inch. Which of the following is/are correct? A. Average rainfall on 2nd day is 2.8 inch B. Average rainfall on 1st day is 1.8 inch C. Average rainfall on 2nd day is 2.1 inch D. Average rainfall on 1st day is 2.4 inch Correct Answer B and C

Given:

Ratio of rainfall for 1st and 2nd day = 6 ∶ 7

Average rainfall for the last four days = 0.90 inch

Average rainfall for all six days = 1.25 inch

Formula Used:

Average = Sum of values/Number of values

Calculation:

Let the rainfall on 1st day be 6y and on 2nd day be 7y

Sum of recorded rainfall for the last four days = Average rainfall for the last four days × Number of days

⇒ Sum of recorded rainfall for the last four days = 0.90 × 4

⇒ Sum of recorded rainfall for the last four days = 3.60

Sum of recorded rainfall for all six days = Average rainfall for all six days × Number of days

⇒ Sum of recorded rainfall for all six days = 1.25 × 6

⇒ Sum of recorded rainfall for all six days = 7.50

⇒ 6y + 7y + 3.60 = 7.50

⇒ 13y = 3.9

⇒ y = 0.3

The rainfall on 1st day = 6y

⇒ 6 × 0.3

⇒ 1.8

The rainfall on 2nd day = 7y

⇒ 7 × 0.3

⇒ 2.1

Average rainfall on 1st day is 1.8 inch and average rainfall on 2nd day is 2.1 inch.

∴ B and C are correct

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