Alok, Banik, Chetan and Dinesh started a buziness together. Alok invested-1/3rd of the total capital, Banik invested -1/4 th of the total capital and Chetan invested Rs.500 more than Dinesh. If the profit received by Alok is 1.5 times the profit received by Chetan, how much is Banik's investment
Answers
Answer:
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Answer:
Quarters means 3 months each
Ratio of investments in 2
nd
quarter – 1:4:2, so let amounts – x,4x,2x
Ratio of investments in 3rd quarter – 3:2:3, so let amounts – 3y,2y,3y
In last quarter, respective amount is double then in 2
nd
quarter, so amounts – 2x,8x,4x
In the last quarter the ratio of investments was same as in 2
nd
quarter. — this is not required to solve question.
Given:
(2000+2x+3y)=1400+(800+x+3y)
⇒2000+2x+3y−1400−800−x−3y=0
⇒x−200=0
or x= Rs 200
Now ratio of profit share —A:B:C is
800×3+x×3+3y×3+2x×3:1600×3+4x×3+2y×3+8x×3:2000×3+2x×3+3y×3+4x×3
3 gets cancelled, gives
(800+3x+3y):(1600+12x+2y):(2000+6x+3y)
Put x=200 gives
1400+3y:4000+2y:3200+3y
Now given
(1400+3y+4000+2y+3200+3y)
(4000+2y)
=
153
66
(4300+4y)
(2000+y)
=
51
22
Solve,y=Rs200
So now the total investment is—(800+3x+3y)+(1600+12x+2y)+(2000+6x+3y)=(4400+21x+8y)
put x=200,y=200, total investment = Rs 10,200