Question
The only expenses of Arun are on grocery, rent and fun
expenses. Arun spent Rs. 4,000 on fun, amount spent by him on rent is Rs. 9,000 more than that on fun and amount spent on groceries is 150% of that on rent. If he saved 20% of his total income then, find his total income.Solution
Initially, Arun’s rent expense = 4000 + 9000 = Rs. 13,000 Initially, Arun’s grocery expense = 13000 × (150/100) = Rs. 19,500 Initially, total expenses of Arun = 4000 + 13000 + 19500 = Rs. 36,500 = 80% of his income So, initial income of Arun = 36500 × 100/80 = Rs. 45,625
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’.
