Akshay and Biman enter into a partnership by investing Rs.3750 and Rs.4800 respectively. After 3 months, Chandan joined them with Rs.4500. If total profit earned by them after one year partnership is Rs.4452, then what is the share of Biman in profit?
Answers
Step-by-step explanation:
A:B:C=(40000×36):(80000×12+40000×24):(120000×24+40000×12)
⇒1440000:1920000:3360000
⇒144:192:336
⇒12:16:28
⇒3:4:7
Solution :-
given that,
→ Akshay invested = Rs.3750 for 12 months .
→ Biman invested = Rs.4800 for 12 months .
→ Chandan invested = Rs.4500 for 9 months . { Since he joined after 3 months . }
So,
→ Profit Akshay : Profit Biman : Profit Chandan = (3750 * 12) : (4800 * 12) : (4500 * 9) = (375 * 4) : (480 * 4) : (450 * 3) = (125 * 4) : (160 * 4) : 450 = 500 : 640 : 450 = 50 : 64 : 45
then,
→ Share of Biman in Total profit of Rs. 4452 is = {64/(50 + 64 + 45)} * 4452
→ Share of Biman = (64/159) * 4452
→ Share of Biman = 64 * 28
→ Share of Biman = Rs. 1792 (Ans.)
therefore share of Biman in profit is Rs. 1792 .
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