Question
The average income of 'Pawan',
'Qureshi,' and 'Ranjan' is Rs. 'y', and their incomes are in the ratio of 5:3:4, respectively. 'Pawan,' 'Qureshi,' and 'Ranjan' save 40%, 20%, and 30% of their respective incomes. Determine the value of 'y' if 'Qureshi's expenditure is Rs. 1,500 less than 'Pawan's expenditure.Solution
ATQ, Let the incomes of ‘Pawan’, ‘Qureshi’ and ‘Ranjan’ be Rs. ‘5x’, Rs. ‘3x’ and Rs. ‘4x’, respectively Expenditure of ‘Pawan’ = 5x – 5x × 0.4 = Rs. ‘3x’ Expenditure of ‘Qureshi’ = 3x – 3x × 0.2 = Rs. ‘2.4x’ Expenditure of ‘Ranjan’ = 4x – 4x × 0.3 = Rs. ‘2.8x’ ATQ, 3x – 2.4x = 1500 Or, 0.6x = 1500 Or, x = 2500 Average of incomes of ‘Pawan’, ‘Qureshi’ and ‘Ranjan’ = {(5x + 3x + 4x)/3} = Rs. ‘4x’ Or, average of incomes of ‘Pawan’, ‘Qureshi’ and ‘Ranjan’ = 4x = 4 × 2500 = 10000 Or, y = 10000
The minimum value of 25 sin2 θ + 16 cos2 θ is
- If 2cosec 2 A – cot 2 A = 5 and 0 o < A < 90 o , then find the value of ‘A’.
- If sec 2P = sin² 60⁰ + sec 60⁰ - cos² 30⁰, then determine the value of (√3tan P + cot² P)
(tan 5x - tan 3x - tan 2x) = ?
If cot8A = tan(A+8˚), find the value of A? Given that 8A and A+8 are acute angles.
If (3cos A - sin A) = 2 cos (90° - A), then find the value of cot A.
Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevat...
If sec x + tan x = 11 then find secx?
Relevant for Exams:
