# Kamala, Vimala, and Pramila enter into a partnership. They invest in Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, Vimala withdraws - Mathematics and Statistics

Sum

Kamala, Vimala, and Pramila enter into a partnership. They invest in Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, Vimala withdraws Rs. 40,000, while at the end of the second year, Pramila withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?

#### Solution 1

Given that, Kamala, Vimala, and Pramila invest ₹ 40,000, ₹ 80,000, and  ₹ 1,20,000 respectively.
The ratio of profits is to be calculated at the end of 3 years.

Vimala withdraws ₹ 40,000 at the end of the first year

∴ Vimala invested 80,000 for one year and 40,000 for 2 years.
Pramila withdraws 80,000 at the end of the second year.

∴ Pramila invested 1,20,000 for two years and 40,000 for one year.

Kamala invested 40,000 for all the 3 years.

∴ The ratio of profits to be shared at the end of 3 years will be.

= 40,000 × 3 : 80,000 × 1 + 40,000 × 2 : 1,20,000 × 2 + 40,000 × 1

i.e. 1,20,000 : 1,60,000 : 2,80,000

i.e., 12 : 16 : 28

i.e., 3 : 4 : 7

#### Solution 2

Given that, Kamala, Vimala and Pramila invest ₹ 40,000, ₹ 80,000 & ₹ 1,20,000 respectively.

Given, information can be tabulated as:

 Kamala Vimala Pramila Year 1 40,000 80,000 1,20,000 Year 2 40,000 40,000 1,20,000 Year 3 40,000 40,000 40,000 Total 1,20,000 1,60,000 2,80,000

∴ The profits to be shared at the end of 3 years will be

1,20,000 : 1,60,000 : 2,80,000

i.e., 12 : 16 : 28

i.e., 3 : 4 : 7

Concept: Partnership
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