‘P’, ‘Q’, ‘R’ and ‘S’ have different amounts. ‘Q’ has 2.5 times the amount ‘P’ has. ‘S’ has 40% less than ‘Q’. The amount ‘R’ has equals the average of all four persons. If the sum of amounts ‘P’ and ‘R’ is Rs. 4800, find the amount ‘R’ has.
Show answer & explanation
Correct answer: D
Explanation
Given:
Q = 2.5P
S = 40% less than Q
R = Average amount of all four
P + R = 4800
By the formula:
Average = (P + Q + R + S) / 4
Q = 2.5P
S = 60% × Q = 0.6 × 2.5P = 1.5P
Average
R = (P + 2.5P + R + 1.5P) / 4
R = (5P + R) / 4
4R = 5P + R
3R = 5P
R = 5P/3
Now
P + R = 4800
P + 5P/3 = 4800
8P/3 = 4800
P = 1800
R = 5 × 1800 / 3 = 3000 rupees