Question

Kavitha and Sunitha are partners in a business. Kavita invests Rs.35000 for 8 months and Sunitha in
Rs.42000 for 10 months. Out of a profit of Rs.31570, find Kavita's share​

Answer 1

Answer:

Kavita's Share = Rs. 12,628

Step-by-step explanation:

Given :

Kavita invests amount = Rs.35000

Sunita invests amount = Rs.42000

Kavita invests Rs.35,000 for 8 months

Sunita invests Rs.42,000 for 10 months

profit = Rs.31,570

To find :

Kavita's share

Solution :

• Kavita's Investment =

⇒ 35,000 × 8 = 2,80,000

Kavita's Investment = Rs. 2,80,000

• Sunita's Investment =

⇒ 42,000 × 10 = 4,20,000

Sunita's Investment = Rs. 4,20,000

• Kavita : Sunita
• 2,80,000 : 4,20,000
• 28 : 42
• 4 : 6
• 2 : 3

Profit = Rs.31,570

Kavita's Share = 31,570 × 2/5

⇒ 12,628

Kavita's Share = Rs. 12,628

∴ Kavita's Share = Rs. 12,628

Answer 2

Answer:

Given :-

• Kavitha and Sunitha are partners in a business. Kavitha invests Rs 35000 for 8 months and Sunitha invests Rs 42000 for 10 months. Out of a profit of Rs 31570.

To Find :-

• What is the Kavitha's share.

Solution :-

First, we have to find the ratio of capital of Kavitha and Sunitha :

$\leadsto \: \: \sf\bold{Ratio\: of\: Kavitha's\: capital\: to\: Sunitha's\: Capital\: :-}$

$\implies \sf 35000 \times 8 : 42000 \times 10$

$\implies \sf 280000 : 420000$

$\implies \sf 28 : 42$

$\implies \sf 14 : 21$

$\implies \sf \bold{\purple{2 : 3}}$

Hence, the ratio of capital of Kavitha and Sunitha is 2 : 3 .

Now, it is given that :

• Total profit = Rs 31570

Now, we have to find the Kavitha's share as well as Sunitha's share :

${\normalsize{\bold{\underline{\green{\bigstar\: Kavitha's\: Share\: :-}}}}}$

$\longrightarrow \sf Kavitha's\: Share =\: \dfrac{Kavitha's\: Ratio\: Number}{Total\: Ratio} \times Total\: Profit$

$\longrightarrow \sf Kavitha's\: Share =\: \dfrac{2}{2 + 3} \times 31570$

$\longrightarrow \sf Kavitha's\: Share =\: \dfrac{2}{\cancel{5}} \times {\cancel{31570}}$

$\longrightarrow \sf Kavitha's\: Share =\: 2 \times 6314$

$\longrightarrow \sf \bold{\red{Kavitha's\: Share =\: Rs\: 12628}}$

_____________________________

${\normalsize{\bold{\underline{\green{\bigstar\: Sunitha's\: Share\: :-}}}}}$

$\longrightarrow \sf Sunitha's\: Share =\: \dfrac{Sunitha's\: Ratio\: Number}{Total\: Ratio} \times Total\: Profit$

$\longrightarrow \sf Sunitha's\: Share =\: \dfrac{3}{2 + 3} \times 31570$

$\longrightarrow \sf Sunitha's\: Ratio =\: \dfrac{3}{\cancel{5}} \times {\cancel{31570}}$

$\longrightarrow \sf Sunitha's\: Ratio =\: 3 \times 6314$

$\longrightarrow \sf\bold{\red{Sunitha's\: Share =\: Rs\: 18942}}$

$\therefore$ The share of Kavitha is Rs 12628.

$\rule{150}{2}$

EXTRA INFORMATION :

$\square$ Partnership Buisness :

• Partnership buisness generally builds up on some principles are decided of discussion among the partners.

$\square$ Types Of Partnership Buisness :

$\implies$ There are two types of partnership buisness :

1. Simple Partnership Buisness
2. Compound Partnership Buisness