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)?ยSolution
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
Solve for x in the equation: 3(x + 2) + 2(2x - 5) = 5x + 9

If x = 19, then the value of x5 - 20x4 + 20x3 - 20x2 + 20x - 1 is
Given a triangle with two sides measuring 12 cm and 16 cm, which of the following cannot be a possible length for the third side?
The mean age of 30 students was calculated as 15 years. However, it was later discovered that one student's age was mistakenly entered as 15 years inste...
In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm. th...
If a = 32, b = c = 31, then find the value of a 3 ย + b 3 ย + c 3 ย โ 3abc.
If x3 + y3 = 9 and x + y=3 then the value of x4 + y4 is:
105, 111, 123, 141, ?, 195
Let {x + (1/x)} = 4, then Determine the value of {xยฒ + (1/xยฒ)}