Question
A person saves 22% of his monthly income. If his monthly
is increased by 35% and he still saves the same amount as before then find percentage increase (approximate) in his monthly expenditure.Solution
Let monthly of person is Rs. 100x Monthly savings = 0.22 × 100x = Rs. 22x Monthly expenditure = 100x – 22x = Rs. 78x His increased monthly income = 1.35 × 100x = Rs. 135x His monthly expenditure now = 135x – 22x = 113x Percentage increase in expenditure = [(113x – 78x)/78x] × 100 ~ 44.9%
For given pair of equations, how many solutions are possible?
3x + 4y = 15 and 6x + 8y = 10
For given pair of equations, how many solutions are possible?
4x + 6y = 16 and 8x + 12y = 32
The ratio of roots of the equation mx2 + nx + n = 0 is α/ β = a/b, then find the value of `sqrt(a/b)+sqrt(b/a)+sqrt(n/m)`
Find the area between the lines 18x +12y = 108, 9x  + 6y  = 27, x - axis and y -axis.Â
If in two linear equations ax + by = c and dx + ey = f and a/d = b/e = c/f then, which of the following is true about the two equations?
For which value of m, there is no solution to the equation -
a – b = 5
ma – 4b = 1
The lines x + y = 9 and x - y = 3 intersect at point P. Find the coordinates of P.
Solve: (x/3) + (x/5) = 16
Find the value of 'a' and 'b' which satisfy the following equations:
9a + 7b = 30
4a - 5b = 62
If (5√P - 7√Q) = 5, [1.5P = 4Q-(R/3)+9] and (√P/√Q) = 1.6, then find out the value of ‘R’.
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