Question

$P$ and $Q$ enter into a partnership. $P$ puts in $Rs.50$ and $Q$ puts $Rs.45$. At the end of the $4$ months $P$ withdraws half his capital and at the end of $5th$ month $Q$ withdraws half of his capital. $S$ then enter into with the capital of $Rs.70$. At the end of $12$ months they got profit of $Rs.1272.5$. What was $S$ share in the profit.

• A. $460$
• B. $480$
• C. $490$
• D. $Cannotbedetermined$

Answer 1

The correct option is C $490$

Capital invested by P=$Rs.50$

Total share of $P=(50\times 4)+(25\times 8)=200+200=400$

Capital invested by $Q=Rs.45$

Total share by $Q=(45\times 5)+(\frac{1}{2}\times 45\times 7)=225+157.5=382.5$

After 5 months-

Capital invested $=Rs.70$

Total share by $S=(70\times 7)=490$

Total shares=$400+382.5+490=1272.5$

Profit share by $S=\frac{490}{1272.5}\times 1272.5=Rs.490$