pradipbabu and Aminabibi started a business by investing $24000 and $30000 respectively at the begining of a year. After 5 months pradipbabu invested $4000 more. If the yearly profit was $27716, let us write by calculating the share of each of them.
Answers
Let, Arun contribute Rs 12000 more after x month .
Arun contributed Rs 24000 for x month and Rs (24000 +12000 ) = Rs 36000 for (12 -x ) month.
If total profit will have to get for 1 month Arun will require,
=> Rs { 24000 × x + 36000 × (12 -x ) }
=> Rs (432000 - 12000x )
Ajoy contribute Rs 30000 for 12 month .
If Total profit will have to get in 1 month
Ajoy will require Rs (30000 × 12 ) = Rs 360000
\mapsto
Ratio of principal of Arun and Ajoy,
=> ( 432000 - 12000x ) : 360000
5 points
=> (432 - 12x ) : 360
=> (36 - x ) : 30
Profit is divided in the ratio of their principal
\dfrac{36 - x}{66 - x}
Total profit of Arun 14030 ×
According to the question,
\dfrac{36 - x}{66 - x}
= 7130
=> 14030 ×
\dfrac{7130}{14030}
\dfrac{36 - x}{66 - x}
=
=>
\dfrac{713}{1403}
\dfrac{36 - x}{66 - x}
=
=>
[ By doing cross multiplication we get ]
=> 50508 - 1403x = 47058 -713x
=> 1403x - 713x = 50508 - 47058
=> 690x = 3450
=> x = 5
Let, Arun contribute Rs 12000 more after x month .
Arun contributed Rs 24000 for x month and Rs (24000 +12000 ) = Rs 36000 for (12 -x ) month.
If total profit will have to get for 1 month Arun will require,
=> Rs { 24000 × x + 36000 × (12 -x ) }
=> Rs (432000 - 12000x )
Ajoy contribute Rs 30000 for 12 month .
If Total profit will have to get in 1 month
Ajoy will require Rs (30000 × 12 ) = Rs 360000
Ratio of principal of Arun and Ajoy,
=> ( 432000 - 12000x ) : 360000
5 points
=> (432 - 12x ) : 360
=> (36 - x ) : 30
Profit is divided in the ratio of their principal
Total profit of Arun 14030 ×
According to the question,
= 7130
=> 14030 ×
=
=
=>
=
=>
[ By doing cross multiplication we get ]
=> 50508 - 1403x = 47058 -713x
=> 1403x - 713x = 50508 - 47058
=> 690x = 3450
=> x = 5