maths
Sat, 2010-04-17 21:09
1.> 3 metal spheres whose radii are 3,4,5 rep. are melted and formed into a globe. If volume of a globe varies as the cube of its radius, find the radius of the new globe?
2.> if monthly salaries of two persons A & B are in the ratio of 3:5, then after n increase of Rs.20 in there salary of each, the ratio becomes 13:21. find intial salaries of A & B.
3.> if income tax varies as the square of excess of a man's income over Rs.3000 and if this tax on an income of Rs.6000 amts to Rs.100, show that under this system a man whose income is Rs. 96000 would be made a pauper.
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volume varies as cube of radii
hence resultant volume would be( cube(3)+cube(4)+cube(5)) times a constanst
which must be equal to the constant times the cube of the new radius
which gives 6..
salaries of A & B 240 & 400
Under this system The tax amount comes to 96100 while his income is 96000..
the guy is certainly unfortunate to be such bright.
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