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 -
⇒ A = 5 × 12 = 60
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
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