Question

Prakash and Pradipta started a business by investing Rs.3000 and Rs.5000 respectively. After 6 months Prakash invested Rs.4000 more but after 6 months Pradipta withdraws Rs.1000. If after 1 year the profit is Rs.6175, then find their shares of profit.​

Answer 1

Step-by-step explanation:

Solution :

Prakash and Pradipta started a business by investing Rs.3000 and Rs.5000 respectively.

Invested amount :

Prakash =

= (Rs.3,000 × 6) + (Rs.7,000 × 6)

= 18,000 + 42,000

= 60,000

Pradipta =

= (Rs.5,000 × 6) + (Rs.4,000 × 6)

= 30,000 + 24,000

= 54,000

Ratio of their investment = Prakash : Pradipta

= 60,000 : 54,000

= 60 : 54 = 10 : 9

After 1 year the profit is Rs.6,175.

Their shares of profit :

Prakash =

= 6,175 × 10/19

= 3,250

Pradipta =

= 6,175 × 9/19

= 2,925

Hence, Prakash's Share = Rs. 3,250 and Pradipta's Share = Rs. 2,925

Answer 2

Answer:

The shares of profit for Prakash and Pradipta is Rs. 3,250 and Rs. 2,925

Step-by-step explanation:

Prakash and Pradipta started a business by investing = Rs.3000 and Rs.5000

After 6 months,

Prakash invested = Rs.4000 more

Pradipta withdraws = Rs.1000

★ Prakash's Invested amount :

$\longrightarrow$ (3,000 × 6) + (7,000 × 6)

$\longrightarrow$ 18,000 + 42,000

$\longrightarrow$ 60,000

Prakash invested Rs. 60,000

★ Pradipta's Invested amount :

$\longrightarrow$ (5,000 × 6) + (4,000 × 6)

$\longrightarrow$ 30,000 + 24,000

$\longrightarrow$ 54,000

Pradipta invested Rs. 54,000

★ Investment ratio of both :

• Prakash = Rs. 60,000
• Pradipta = Rs. 54,000

$\longrightarrow$ Prakash : Pradipta

$\longrightarrow$ 60 : 54

$\longrightarrow$ 10 : 9

According to the Question, after 1 year the profit is Rs. 6,175.

★ Prakash's shares of profit :

$\longrightarrow$ 6,175 × 10/19

$\longrightarrow$ 3,250

★ Pradipta's shares of profit :

$\longrightarrow$ 6,175 × 9/19

$\longrightarrow$ 2,925

Prakash's share = Rs. 3,250

Pradipta's share = Rs. 2,925

Therefore, the shares of profit for Prakash and Pradipta is Rs. 3,250 and Rs. 2,925.