Question

If Rs.510 be divided among A, B, C in such a way that A gets $\frac{2}{3}$ of what B gets and B gets $\frac{1}{4}$ of what C gets, then, their shares are respectively

• A. Rs. 120, Rs. 240, Rs. 150
• B. Rs.60, Rs. 90, Rs. 360
• C. Rs. 150, Rs. 300, Rs. 60
• D. None of these.

Answer 1

The correct option is B Rs.60, Rs. 90, Rs. 360

Let C gets x Rs
then B gets$\frac{x}{4}$
A gets$\frac{2}{3}of\frac{x}{4}=\frac{x}{6}$
Ratio of A,B,C=$\frac{x}{6}:\frac{x}{4}:x=\frac{34x}{24}$
C's gets=$\frac{x\times 24}{34x}\times 510=360Rs$
B's gets=$\frac{360}{4}=90Rs$
A.s gets=$\frac{360}{6}=60Rs$