Question
A man's annual income has increased by Rs 5 lakhs but
the tax on income that he has to pay has reduced from 12% to 10%. He now pays Rs 10,000 more income tax. What is his increased income (in Rs lakhs)?ÂSolution
Starting income=x New income=x+500000 income tax at 1st=0.12x Income tax now=(x+500000)*0.1 Difference=10000 0.1x+50000-0.12x=10000 400000=0.02x x=2000000 x+5=25 lakhs
In a circle, the chord AB is 12 cm, and the perpendicular from the center O to the chord AB bisects it at point P. If OP = 5 cm, what is the radius of t...
In ∆ABC , G is the centroid , AB = 6 cm, BC= 8 cm and AC = 10 cm , find GD, where D is the mid-point of BC?
The 2nd approximation to a root of the equation x2-x-1-0 in the interval (1, 2) by Bisection method will be:
Angles of a triangle are in the ratio 2 : 3 : 7. Find the difference between the largest and smallest angle of the triangle.
If O is circumcentre of acute angled triangle ABC, if ∠ BAC = 70˚ then ∠BOC = ?
If O is circumcentre of acute angled triangle ABC, if ∠ BOC = 150˚ then ∠BAC = ?
Find out the circumference of a sector whose radius is 7 cm and it makes the angle of 45° at the centre?
If O is circumcentre of acute angled triangle ABC, if ∠ BOC = 100˚ then ∠BAC = ?
If O is circumcentre of acute angled triangle ABC, if ∠ BAC = 40 ˚ then ∠BOC = ?
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