Partnership is an important chapter in Quantitative section of IBPS and other banking examination.
When two or more people joins hands with a common goal to attain profits. Every partner invests either time, money or his patents to help partnership firm to reap profits.
There are many problems in partnerships regarding profit shares, investment period etc. I will try to solve one question from each part.
Question - Rohit invested Rs 76000 in a business. After few months Rajit 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 Rajit joined Rohit ?
Solution - We can simply compute per month investment of both partnership
Rohit invested Rs 76,000 for 12 months and Rajit invested Rs 57,000 for x months.
Now 76000 × 12 / 57000 × x = 2 :1
⇒ 76 × 12 / 2 = 57x
⇒ x = 8
So Rajit invested his money for 8 months and he joined after 4 months.
Question - A and B started a business by investing money in ratio of 5:6. C joined them after few 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 -
Total investment at the end of year = 98000 × 100/20 = Rs 4,90,000
⇒ Investment by C = 490000 × 36 / 168 × 2 = Rs 210000
Question -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
When two or more people joins hands with a common goal to attain profits. Every partner invests either time, money or his patents to help partnership firm to reap profits.
There are many problems in partnerships regarding profit shares, investment period etc. I will try to solve one question from each part.
Question - Rohit invested Rs 76000 in a business. After few months Rajit 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 Rajit joined Rohit ?
Solution - We can simply compute per month investment of both partnership
Rohit invested Rs 76,000 for 12 months and Rajit invested Rs 57,000 for x months.
Now 76000 × 12 / 57000 × x = 2 :1
⇒ 76 × 12 / 2 = 57x
⇒ x = 8
So Rajit invested his money for 8 months and he joined after 4 months.
Question - A and B started a business by investing money in ratio of 5:6. C joined them after few 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
⇒ 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 -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
