40
If Rs. 510 be divided among A, B, C in such a way that A gets 2/3rd of what B gets and B gets 1/4th of what C gets, then their shares are respectively :
- A60, 90, 360
- B135, 90, 285
- C117.75, 78.5, 314
- D110, 80, 320
Answer not set
Discussion 1
Log in or create a free account to reply and vote.
0
CCommunity
According to the question,
A = 2B/3 and B = C/4
⇒ A/B = 2/3 and B/C = 1/4
To make the ratio common. Multiply B : C by 3 i.e. B : C = 3 : 12
⇒ A : B : C = 2 : 3 : 12
∴ A's share $(= 510 \times \;\frac{2}{{2 + 3 + 12}}\; = \;510\; \times \frac{2}{{17}})$ = Rs. 60
∴ B's share $(= 510 \times \;\frac{3}{{2 + 3 + 12}}\; = \;510\; \times \frac{3}{{17}})$ = Rs. 90
C's share = 510 – 60 – 90 = Rs. 360
A = 2B/3 and B = C/4
⇒ A/B = 2/3 and B/C = 1/4
To make the ratio common. Multiply B : C by 3 i.e. B : C = 3 : 12
⇒ A : B : C = 2 : 3 : 12
∴ A's share $(= 510 \times \;\frac{2}{{2 + 3 + 12}}\; = \;510\; \times \frac{2}{{17}})$ = Rs. 60
∴ B's share $(= 510 \times \;\frac{3}{{2 + 3 + 12}}\; = \;510\; \times \frac{3}{{17}})$ = Rs. 90
C's share = 510 – 60 – 90 = Rs. 360