Question
A man donated 22%, 11% and 26% of his income to three
NGOs ‘A’, ‘B’ and ‘C’, respectively. They spent 75%, 80% and 50% of respective sums received by them. If total sum left with three NGOs is Rs. 5175, then find the income of man.Solution
Let the income of the man be Rs. x Therefore, sum donated to NGO ‘A’ = Rs. 0.22x Sum left with NGO ‘A’ = 0.25 × 0.22x = Rs. 0.055x Sum donated to NGO ‘B’ = Rs. 0.11x Sum left with NGO ‘B’ = 0.2 × 0.11x = Rs. 0.022x Sum donated to NGO ‘C’ = Rs. 0.26x Sum left with NGO ‘C’ = 0.5 × 0.26x = Rs. 0.13x According to the question, 0.055x + 0.022x + 0.13x = 5175 Or, 0.207x = 5175 Or, x = 5175/0.207 = 25000 Therefore, income of man = Rs. 25000
If x + y + z = 6, and x3 + y3 + z3 = 36, xyz = 6 then find (xy +yz + zx)?
If x =7+4√3. then find the value of x +1/ x
If x + y + z = 4, xyz = 6 & x2 + y2 + z2 = 8 then find the value of x3 + y3 + z3.
If z + (1/z) = 2 then find z105 + 1/(z105) = ?
- If (x - y) = 2, then find the value of (x³ - y³ - 6xy).
- If x 4 – 83x 2 + 1 = 0, then find the value of x 3 - x -3 can be:
Let {x + (1/x)} = 4, then Determine the value of {x² + (1/x²)}
- If x² - 2x + 1 = 0, then find the value of (x + x⁻¹)².
If 5x - 13xy + 6y = 0, find x : y.
If ab + bc + ca = 0
Find the value of 1/(a2 - bc) + 1/(b2 - ca) + 1/(c2 - ab)
Relevant for Exams:
