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Answer

after discount of 45%   the selling price of product is on  55% of marked price 

 

the  55% of 2000=   55/100*2000= 1100 

hence the price  to be paid  after 45% discount is 1100.

 

Answer

use  d=H( cotA-CotB)  

  where H = height of building ,  A= angle of depressionof  first car with angle 30 degree  and   B= angle of depression of second car with angle 45 degree  and 'd'=  distance between these two  cars.

 

now     d=H(cotA-cotB)

      d= H( cot30- cot45)

    d= 100( root3-1)=  100(1.732-1) =100(0.732)=  73.20

         

Answer

no. of  remaining students = 45-10-15=20,   average = total marks of all students/  total no. of students

total marks of all  students = 10*88 +15*73+20*68= 3335  &  total no. of students= 45

average of class=  (10*88+ 15*73+ 20*68) / 45 =  3335/45 =74.111111....

therefore, 

approximate average of class  is 74.11

 

Answer

Laura can finish a piece of work in 6 hours.

Kacey can finish a piece of work in  ( A*B)/(A-B)= ( 6*3)/(6-3)= 18/3=  6 hours

Kelvin can finish a piece of work in  (A*B)/(A-B)= (6*4)/(6-4)= 24/2=12 hours =  12/24 days=1/2 days

{  here  A=  alone work of particular person and  B =  combine work or together work finish by them }

so  Kelvin can finish that  a piece of work in 12 hours. or  1/2  days  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer

let x be included in thease ratios   Alex: Brad: Camellia = 4x: 5x: 6x   

difference between Alex and Camellias's share = {(6x-4x)/(4x+5x+6x)}*225000= 2x*225000/15x=2*15000= 30000

so  difference between Alex and Camellias's share=  30000.  

Answer

boys: girls= 3:9=1:3   it means  boys 1 unit =20  then girls 3 unit= 60   so total no. of students= 20+60=80

Answer

Average speed =  2*36*24/(36+24)=  2*36*24/60=  28.8 km/hr 

 

Answer

relative velocity =75+18= 90 km/hr   =  90*5/18=25m/s

time taken= 175/25=7 seconds

Answer

total no. of students=161

no. of girls=   151

no. of  boys= 161-151=10

boys:girls=10:152

Answer

total no. of students=161

no. of girls=151

no of boys=161-151=10

ratio of boys and girls=   10:151