1.

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 :1). 60, 90, 3602). 135, 90, 2853). 117.75, 78.5, 3144). 110, 80, 320

Answer»

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


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