Partnership problems handwritten notes

 Partnership math problems 

Partnership math problems handwritten notes 

Complete math notes

Question 1

Raj invested Rs 76000 in a business. After few months Monty joined him and invests Rs 57000. At the end of year both of them share the profits at the ratio of 2:1. After how many months Monty joined Raj ?

Solution - We can simply compute per month investment of both partnership

Raj invested Rs 76,000 for 12 months and Monty invested Rs 57,000 for x months.

Now 76000 × 12 / 57000 × x = 2 :1

⇒ 76 × 12 / 2 = 57x

⇒ x = 8

So Monty invested his money for 8 months and he joined after 4 months.

Question 2

A and B started a business by investing money in ratio of 5:6. C joined them after 6 months by sharing an amount equal to B's share. At the end of year 20% profit was earned which was equal equal to Rs 98,000. How much money was invested by C ?
Solution - 

= First of all we will calculate the weighted ratios

⇒ A = 5 × 12 = 60 

⇒ B = 6 × 12 = 72

⇒ C = 6 × 6 = 36

Total investment at the end of year = 98000 × 100/20 = Rs 4,90,000 

⇒ Investment by C = 490000 × 36 / 168 × 2 = Rs 210000

Question 3

A, B and C shared profits in ratio of 5:7:8. They partnered for 14 months, 8 months and 7 months respectively. What was he ratio of their investments ?

Solution - Simply multiply profit sharing ratio with investment ratio to get investment amount ratio.

Let X is the total investment

⇒14 x = 5
⇒ 8 x = 7
⇒ 7x = 8

⇒ Final investment ratio = 20 : 49 : 64