divide rupees 500, A,B,C,D so that A and B together gets thrice as much as C and D together, B gets four times of what C gets in C gets 1.5 times as much as D. now the value of what B gets is
Answers
Step-by-step explanation:
given A+B:C+D=3:1
A+B)'s share 4 = Rs.500×34 =Rs.375
(C+D)'s share = Rs.500×14 = Rs.125
C : D = 32 : 1 (given)
= 3 : 2
C's share = Rs.125×35 = Rs.75
D's share = Rs.125×25 = Rs.50
B's share = Rs.75×4=Rs.300
Answer:
Share of B = Rs. 300
Step-by-step explanation:
Given that A and B together get thrice as much as C and D together
⇒ (A + B) = (C + D) = 3 : 1
Total money which is to be distributed = Rs 500
Share of (A + B) = 3/4 × 500 = Rs. 375
Share of (C + D) = 1/4 × 500 = Rs. 125
Now, C gets 1.5 times as much as D
⇒ C + D = 125
⇒ 1.5 D + D = 125
⇒ 2.5 D = 125
⇒ Share of D = Rs. 50
So, Share of C = 125 - 50
= Rs. 75
Also, B gets four times of what C gets
⇒ Share of B = 75 × 4
= Rs. 300