Divide Rs. 500 among A, B, C, and D so that A and B together get thrice as much as C and D together, B gets 4 times what C gets and C gets 1.5 times as much as D. What is the value of B’s share?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. Rs. 300.
According to the question;
A and B together get thrice as much as C and D together
⇒ (A + B) = 3(C + D)
⇒ (A + B) : (C + D) = 3 : 1
⇒ (A + B) = 3/4 × 500 = 375
⇒ (C + D) = 500 - 375 = 125
C gets 1.5 times as much as D
⇒ C = 1.5D
⇒ C : D = 3 : 2
⇒ C = 3/5 × 125 = 75
⇒ D = 2/5 × 125 = 50
B gets 4 times what C gets
⇒ B = 4C = 300
Thus, B gets Rs. 300