Correct mean = ( sum of total marks - 57 + 75 ) / 30
= ( 30 x 58.5 - 57 + 75 ) / 30
= (1755 + 18 ) / 30
= 59.1
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
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 decrease in the age = 25 x 1/2 =12.5 yr
? Age of new girl = 20 - 12.5
= 7.5 yr
( 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
Monthly sale = yearly sale / 2
= 132000 / 2
= ? 11000
June's sale = monthly sale / 2
= 11000 / 2
= ? 1000
Total Income of the family per month
= 5 x 1000
= ? 5000
Increased amount per month = 12000/12 = ? 1000
Now, total amount of family income = ? 6000 per month
So, the average income of the family per month after increase = 6000/5
= ? 1200
Let the temperature on the last day of the week be x° C
Average of the week = ( 3 x 25 + 3 x 27 + x ) / 7 = 26.5
? 3 x 25 + 3 x 27 + x = 7 x 26.5
? 156+ x = 185.5
? x = 29.5
So, the temprature on the last day of the week is 29.5° C
Sum of the ages of 4 men five years ago
= 48 x 4
=192 yr
And sum of present ages of the four men
= 192 + 5 x 4
= 212 yr
Now ( 212 + Age of the new man ) / 5 = 50
? Age of the new man = 50 x 5 - 212
= 38 yr.
a + b + c = 11 x 3 = 33 .....(i)
c + d + e = 17 x 3 = 51 .....(ii)
e + f = 22 x 2 = 44 .....(iii)
e + c = 17 x 2 = 34 .....(iv)
From Eqs. (ii) and (iv), we get
34 + d = 51
? d = 17
Now adding Eqs. (i), (ii), (v), we get
a + b + c + d + e + f = 33 + 44 + 17 = 94
? Average of a, b, c, d, e and f = 94/6 = 152?3
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