Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used.

Answer: Option A

Explanation:

Let B contribution is x.
$$\begin{aligned} \frac{3500*12}{7x} = \frac{2}{3} \\ => 14x = 126000 => x = Rs 9000 \end{aligned}$$

Answer: Option B

Explanation:

Suppose B joined after x months
then,
21000*12=36000*(12-x)
=> 36x = 180
=> x = 5

Answer: Option D

Explanation:

Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 20000 * 6 : x * 12.
120000/12x : 6000/3000
=> x = 120000/24 = 5000

Answer: Option D

Explanation:

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

Now we are having the ratio.
to get the share, first make total of above ratio.
then get each share.

$$\begin{aligned} \text{A's Share} = 40500*\frac{7}{27} \\ = Rs&10500 \\ \text{B's Share} = 40500*\frac{9}{27} \\ = Rs&13500 \\ \text{B's Share} = 40500*\frac{11}{27} \\ = Rs&16500 \\ \end{aligned}$$

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