Question

Beyonce started a Jewellery shop with an investment of $ 84000. After some time, Jackson invested $ 63000 in Beyonce's business. The total profit at the end of the year was divided among them into the ratio 2 ∶ 1. Calculate after how many months Jackson joined the business?
1. 3 months 
2. 7 months
3. 4 months
4. 8 months

Answer 1

Correct Answer - Option 3 : 4 months

Given∶ 

Beyonce's  investment = $ 84000

After some time Jackson invested = $ 63000

Total profit was divided in the ratio = 2 ∶ 1

Formula Used∶

 

Concept of the ratio of product of investment and time duration is equal to ratio of profit.

Calculation∶

We can assume that Jackson join into Business after x months.

So, Jackson invest into (12 - x) months.

Also, (Beyonce investment × time period) ∶ (Jackson investment × time period) = Ratio of their profit

⇒ (84000 × 12) / [63000 × (12 - x)] = 2/1

⇒ 84000 × 12 = 2× 63000 × (12 - x)

⇒ (42 × 12) / 63 = 12 - x 

⇒ x = 12 -  8

⇒ x = 4 

∴ Jackson joined Beyonce's Business after 4 months.