Ato starts a business with $1,250.00. Ama joins the business later with a capital of 1,875.00. At the end of the first year, profits are shared equally between Ato and Ama. When did Ama join the business?


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Question Number 211617 by pete last updated on 14/Sep/24

$Ato starts a business with $ 1, 250.00 . Ama joins the business$ $later with a capital of 1, 875.00 . At the$ $end of the first year, profits are shared equally$ $between Ato and Ama . When did Ama$ $join the business ?$
	Answered by A5T last updated on 14/Sep/24

	$L e t x b e t h e a v e r a g e m o n t h l y p r o f i t (i n % o f$ $c a p i t a l) . I f i t i s t h e s a m e f o r b o t h A t o a n d A m a$ $T h e n {A t o}^{'} s p r o f i t i s 12 x \times 1250;$ $a n d {A m a}^{'} s p r o f i t = k x \times 1875$ $(w h e r e k i s t h e n u m b e r o f m o n t h s A m a u s e d)$ $12 x \times 1250 = k x \times 1875 \Rightarrow k = 8$ $\Rightarrow A m a j o i n e d t h e b u s i n e s s a f t e r t h e 12 - 8 = 4 t h$ $m o n t h .$
	Commented by pete last updated on 15/Sep/24

	$Thank you sir$
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