( A + B + C ) / 3 = 11111 ....(i)
Also, ( A+C ) / 2 = 11111 ....(ii)
From Eqs. (i) & (ii), we get
B = ? 11111 crore
Let the number of non-officers be y.
Then number of entire staff = 16 + y
Sum of total salary = 200(16 + y)
=16 x 550 + 120y
? 120y + 550 x 16 = 200x16 + 200y
? 3y +220 = 80 + 5y
? 2y = 140
? y = 140/2 = 70
Sum of the age of 45 students = 45 x 13 = 585 yr
Sum of the age of 15 students = 15 x18 = 270 yr
Sum of the age of all students = sum of the age of 45 students + sum of the age of 15 students
= 585 yr + 270 yr
=855 yr
? Average age of all students = 855 ? 60
= 14.25 yr
x1 + x2 + x3 = 3 x 14 = 42 ....(i)
and (x1 + x2) x 2 = 30
? x1 + x2 =15 ....(ii)
From Eqs. (i) and (ii), we get
x1 + 15 = 42
? x1 = 42 - 15 = 27
Total of 5 observations = 5 x 15 = 75
New sum = 75 + 16.5 + 18 + 14.5 = 124
New Average = 124 ? 8 = 15.5
Let the average of 14th innings = x
? Average of 15th innings = x+2
Then, 14x+72 = 15(x+2)
? 14x+72 = 15x +30
? x = 42
? Average for 15th innings = x+2 = 42 + 2 = 44
Total decrease in the age = 25 x 1/2 =12.5 yr
? Age of new girl = 20 - 12.5
= 7.5 yr
Let number of males = y
Then, total number of family members = 15 + y
Sum of age of family members = sum of age of males + sum of age of females
25(15 + y) = 30y + 15x20
? 375 + 25y = 30y + 300
? 5y = 75
? y = 15
Total required marks in the three examinations = (3 x 600 x 70)/100 =1260
Marks secured in first examination = 55% of 600 = ( 600 x 55)/100 =330
Marks secured in second examination = 60% of 600 = ( 600 x 60)/100 =360
Thus, the required marks in third examination = 1260 - (330 + 360)
= 1260 - 690
= 570
Correct mean = ( sum of total marks - 57 + 75 ) / 30
= ( 30 x 58.5 - 57 + 75 ) / 30
= (1755 + 18 ) / 30
= 59.1
Monthly sale = yearly sale / 2
= 132000 / 2
= ? 11000
June's sale = monthly sale / 2
= 11000 / 2
= ? 1000
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