Question

Rs $2010$ are to be divided among A, B and C in such a way that if A gets Rs $5$ then B must get Rs $12$ and if B gets Rs $4$ then C must get Rs $5.50$. The share of C will exceed that of B by

• A. Rs $620$
• B. Rs $430$
• C. Rs $360$
• D. Rs $270$

Answer 1

The correct option is D Rs $270$

Total money : Rs.$2010$

If $A$ gets Rs. $5$ then $B$ must get Rs $12⟹A:B=5:12$

If $B$ gets Rs. $4$ then $C$ must get Rs $5.50⟹B:C=4:5.50=8:11$

$A:B=5:12\times 2$

$B:C=8:11\times 3$

$A:B=10:24$

$B:C=24:33$

$\therefore A:B:C=10:24:33$

Sum of ratios $=10+24+33=67$

$\therefore B$'s part $\frac{24}{67}\times$ Rs $2010$=Rs $720$

$C$'s part $\frac{33}{67}\times$ Rs $2010$=Rs $990$

$\therefore$ Difference between $C$ and $B$ money =Rs$990-$ Rs $720$

=Rs$270$