Divide Rs. 5625 among A, B & C so that A may receive 1/2 as much as B & C and B 1/4 of what A and C together receive?
Created: 6 years ago |
Updated: 2 years ago
best des
Let they receive A, B & C Rs. respectively.
Now, A = (B + C) / 2
or, 2A = B + C - - - - - - - - - - (i)
Again, B = (A + C) / 4
or, 4B = (A + C)
or, 4B = (B + C) / 2 + C
or, 4B = B/2 + C/2 + C
or, 4B - B/2 = 3C/2
or, 7B/2 = 3C/2
or, B = 3C/7 - - - - - - - (ii)
Now, 2A = 3C/7 + C [from (i)]
or, 2A = 10C/7
or, A = 5C/7 - - - - - - (iii)
From (ii) and (iii),
B : C = 3 : 7
C : A = 7 : 5
So, A : B : C = 5 : 3 : 7
A will receive = 5 / (5 + 3 + 7) × 5625 = 1875 Rs.
B will receive = 3 / (5 + 3 + 7) × 5625 = 1125 Rs.
C will receive = 7 / (5 + 3 + 7) × 5625 = 2625 Rs.
Md Azizur Rahman
Founder of Satt
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