Aptitude - Partnership - Discussion

Discussion Forum : Partnership - General Questions (Q.No. 3)
3.
A, B and C enter into a partnership in the ratio : : . After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:
Rs. 2100
Rs. 2400
Rs. 3600
Rs. 4000
Answer: Option
Explanation:

Ratio of initial investments = 7 : 4 : 6 = 105 : 40 : 36.
2 3 5

Let the initial investments be 105x, 40x and 36x.

A : B : C = 105x x 4 + 150 x 105x x 8 : (40x x 12) : (36x x 12)
100

   = 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = Rs. 21600 x 10 = Rs. 4000.
54

Discussion:
74 comments Page 6 of 8.

Shashi said:   1 decade ago
Can anyone explain why we multiply a's share with 150/100?

105x*4+ (150/100) *105x*8.

Anu said:   1 decade ago
Why we want to divide this ratio 160x:480x:432x by 48 only not by any number.

J.k tamta said:   1 decade ago
7/2 of A's share for 4 month , 7/2*4= 14. and the remaining (14+7/4+7/2)*8= 56.EXPlAIN his share 7/2 kept for 4 month in business that is 14 . and 50% he increses after 4 month that is 7/4 now his share = 7/2+7/4*8 =42 , now 14+42=56 same as for B that is 4/3*12=16 and for C 6/5*12=14.4 now ratio is 56:16:14.4 = 86.4 B's share 16/86.4*21600= 4000 ANSWER

Lavanya said:   1 decade ago
Can anyone explain why we multiply a's share with 150/100?

105x*4+ (150/100) *105x*8.
(1)

Yashal said:   1 decade ago
Please explain why we multiply a's share with 150/100 ?

105x x 4 + (150/100) x 105x x 8

Prerna said:   1 decade ago
Hey clear my doubt why a is multiply with 8 and why why we take 50% of 8 yet here is only ask about the 50% of 4 month. Then why on 8 ?

Alekhya said:   1 decade ago
Here total profit is getting after 1 year i.e,, 12 months so 'a' increases profit after 4 months rest of the months is 8 answer increses to 50% so that we got 105x x 4+ 105x x 8+ 150/100 and rest of them for B and C ie for 12 months.

Ranjeet said:   1 decade ago
There is something wrong in answer if A increase his share it will also change the ratio of share others mean it would not be 40x:36x for B and C.

Is anybody here clear my doubt?

Rajinikanth.h.c said:   1 decade ago
A=(105*4months)+((105*8months)+50%(105*8months))
=420+(420+840)
=1680

B=40*12months
=480

C=36*12months
=432

now u devide the above values by 48(all 3 values r devided without any fraction value)then u will get 35:10:9....

then add all 3 shares 35+10+9=54

for B share=21600*(B share/total share)
=21600*(10/54)
=4000rs
(1)

Mukund said:   1 decade ago
I can't find sufficent explanation of this ans please exsplain again

Let the initial investments be 105x, 40x and 36x.

A : B : C = 105x x 4 + 150 x 105x x 8 : (40x x 12) : (36x x 12)
100


= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = Rs. 21600 x 10 = Rs. 4000. q
54


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