Check which among following are required to answer this questions :

Three friends started a businesss, let there names are A, B and C. What profit B will get, if,

1. C invested Rs. 8000 for nine months, his profit was 3/2 times that of B's and his investment was four times that of A.

2. A and B invested for one year in the proportion 1 : 2 respectively.

3. The three together got Rs. 1000 as profit at the year end.

Answer: Option D

Explanation:

A:B:C = 35000:45000:55000 = 7:9:11

A's share = (7/27) *40500 = Rs 10500
B's share = (9/27) *40500 = Rs 13500
C's share = (11/27)*40500 = Rs 16500

[In options we can see that only salary of C is different in all options. So we cn just calculate the C share to solve question quickly :) ]

Answer: Option B

Explanation:

Let the total profit be Rs. Z

Bharti's share = (2/3)Z
Rahul's Share = Z-(2/3)Z = Z/3

Rahul:Bharti = Z/3:(2/3)Z = 1:2

Now let the total capital be Rs X, and Bharti capital was used for Y months
then, Rahul capital will be (1/4)X and Bharti capital wil be X-(1/4)X = 3X/4
\begin{aligned}
\frac{\frac{1}{4}X*15}{\frac{3}{4}X*Y}= \frac{1}{2} \\
Y = \frac{15*2}{3} = 10
\end{aligned}

So Bharti's money was used for 10 months

Answer: Option D

Explanation:

A:B = 3:2 = 6:4
=> A:C = 2:1 = 6:3

=> A:B:C = 6:4:3

B share = (4/13)*157300
= 48400

Answer: Option A

Explanation:

Nirmal:Kapil = 9000*12:(12000*6+6000*6) = 1:1

Kapils share = Rs. [4600 *(1/2)) = Rs. 2300

Answer: Option B

Explanation:

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively

Then, 14x : 8y : 7z = 5 : 7 : 8

Now, 14x/8x = 5/7
=> y = (49/20)x

14x/7z = 5/8

=> z = (16/5)x

=>x:y:z = x:(49/20)x:(16/5)x
= 20:49:64