Question

A started a business with Rs 3750. After 6 months, B deposited Rs 15000 in that buisness. At the end of the year, if profit is Rs 6900, find the money they got.​

Answer 1

Answer:-

Given:-

A starts a business with a capital of Rs. 3750 for an year.

And,

B deposited an amount of Rs. 15000 after 6 months.

That means;

Ratio of A's capital to B's capital = 3750 × 12 months : 15000 × 6 months

⟹ Ratio of A's capital to B's capital = 45000 : 90000

⟹ Ratio of A's capital to B's capital = 1 : 2

It is also given that;

Total profit at the end of the year = Rs. 6900

Now,

✯ Share of A = 1/(1 + 2) × 6900

⟹ Share of A = (1/3) * 6900

⟹ Share of A = Rs. 2300

Similarly;

✯ Share of B = (2/3) * 6900

⟹ Share of B = Rs. 4600

Answer 2

Answer:

Given :-

• A started a business with Rs 3750. After 6 months, B deposited Rs 15000 in that buisness. At the end of the year, profit is Rs 6900.

To Find :-

• How much money they got.

Solution :-

$\longmapsto$ A started a business with Rs 3750 for 1 years.

As we know that,

• 1 years = 12 months

↦ $\sf Rs\: 3750 \times 12$

➡ $\sf\bold{\green{Rs\: 45000}}$

$\longmapsto$ B deposited Rs 15000 in that buisness for 6 months.

↦ $\sf Rs\: 15000 \times 6$

➡ $\sf\bold{\green{Rs\: 90000}}$

Now, we have to find the ratio of capital of A and B :

$\longrightarrow$ Ratio of capital of A and B :

Given :

• Capital of A = Rs 45000
• Capital of B = Rs 90000

↦ $\sf 45000 : 90000$

↦ $\sf 45 : 90$

↦ $\sf 9 : 18$

➦ $\sf\bold{\pink{1 : 2}}$

➲ Total profit = Rs 6900

Then, profit of A :

↦ $\sf Profit\: of\: A =\: \dfrac{1}{1 + 2} \times 6900$

↦ $\sf Profit\: of\: A =\: \dfrac{1}{\cancel{3}} \times {\cancel{6900}}$

➠ $\sf\bold{\red{Profit\: of\: A\: =\: Rs\: 2300}}$

And profit of B :

↦ $\sf Profit\: of\: B =\: \dfrac{2}{1 + 2} \times 6900$

↦ $\sf Profit\: of\: B =\: \dfrac{2}{\cancel{3}} \times {\cancel{6900}}$

↦ $\sf Profit\: of\: B =\: 2 \times 2300$

➠ $\sf\bold{\red{Profit\: of\: B =\: Rs\: 4600}}$

$\therefore$ A gets Rs 2300 and B gets Rs 4600.