Solved Partnership (Ratio) Questions

[Waleed92]

A very important topic in preparing for the Ability portion.

1. X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?

Ratio of the investment = 21000:17500
=210:175
=42:35
=6:5

Share of X in the profit = 26400×6/11
=14400

2. X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?

Ratio in which they should share the profit

= Ratio of the investments multiplied by the time period
=45000×12:30000×9
=45×12:30×9
=3×12:2×9
=2:1

3. Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 more months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?

Here capital is not the same.

Suresh invested 20000 for initial 6 months and 15000 for the next 6 months. Hence his term of ratio
=(20000×6+15000×6)

Kiran invested Rs.30000 for 4 months and Rs.50000 for next 4 months. Hence his term of ratio
=(30000×4+50000×4)

Suresh : Kiran
=(20000×6+15000×6) : (30000×4+50000×4)
=(20×6+15×6) : (30×4+50×4)
=(20×3+15×3) : (30×2:50×2)
=105:160
=21:32

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