Total income = total expenditure + total saving
= Rs. (120 X 5 + 130 X 7 + 290)
=Rs. 1800
Average monthly income
=1800 / 12
=150 Rs.
Age of the teacher = Sum of age of 24 students and teacher - Sum of age of 24 students.
= 25 x 11 - 24 x 10
= 35 years.
? Age of teacher = 35 years.
Income of the deceased = Total income of 4 members - total income of remaining 3 members.
= 735 x 4 - 650 x 3 Rs.
= 990 Rs.
Total decrease
= ( 20 X 2 ) months
= 3 years 4 month
? Age of the new boy
= ( 18 years ) ? ( 3 years 4 months)
= 14 years 8 month
Let original strength = y
Then , 40y + 12 x 32 = ( y + 12) x 36
? 40y + 384 = 36y + 432
? 4y = 48
? y = 12
Let C's earning = Rs. y.
Then, B's earning = Rs. (y + 20)
and A's earning = Rs. 2y
? 2y + y + 20 + y= 3 x 60
? 4x = 160
? x = 40
Manager's salary per month
= Rs. ( 21 x 2000 - 20 x 1900 )
= Rs. 4000
? Manager 's annual salary
= Rs. (4000 X 12 ) = Rs. 48000.
Seventh observation = sum of 7 observations - sum of 6 observations = 7 x 11 ? 6 x 12
= 5
Sum of four number = ( 15 x 3 + 19 ) = 64
Sum of last three number = ( 16 x 3 ) = 48
? first number = ( 64 ? 48 ) = 16
Temperature of last day = Sum of temperature of 7 days - sum of temperature of first 6 days.
= ( 7 x 28.5 ) - [( 3 x 27 ) + ( 3 x 29 )]
=31.5
? Temperature of last day = 31.5
Average = ( 2uv / u +v ) km/hr
= ( 2 x 15 x 10 ) / (15 +10 ) km/hr.
= 12 km/hr.
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