Question

A and B invested some amount in a business in the ratio 2.3 If there is a profit of rupees 6,000, B will gain a profit of rupees​.​

Answer 1

Given :-

• A and B invested some amount in a buisness in the ratio of 2 : 3. There is a profit of Rs 6000.

To Find :-

• How much Rs B will gain.

Explanation :-

Let,

$\longrightarrow$ A invested be Rs 2x

$\longrightarrow$ B invested be Rs 3x

According to the question :-

$\longmapsto \tt 2x + 3x =\: 6000$

$\longmapsto \tt 5x =\: 6000$

$\longmapsto \tt x =\: \dfrac{\cancel{6000}}{\cancel{5}}$

$\underline { \boxed { \longrightarrow \tt \bold{\green{x =\: Rs\: 1200}}}}$

Hence, the required amount invested by A and B are :-

☞ Money invested by A :-

$\longmapsto \tt Rs\: 2x$

$\longmapsto \tt Rs\: 2(1200)$

$\longmapsto \tt Rs\: 2 \times 1200$

$\longmapsto \tt \bold{\red{Rs\: 2400 \quad \star}}$

And,

☞ Money invested by B :-

$\longmapsto\tt Rs\: 3x$

$\longmapsto \tt Rs\: 3(1200)$

$\longmapsto \tt Rs\: 3 \times 1200$

$\longmapsto \tt \bold{\red{Rs\: 3600 \quad \star}}$

$\therefore$ Money gain by B is Rs 3600.

Answer 2

Answer:

B's gain profit is Rs. 3,600.

Step-by-step explanation:

A and B invested some amount in a business in the ratio 2 : 3

Let,

Amont invested by A = 2y

Amount invested by B = 3y

There is a profit of Rs. 6,000

Find B's Profit

So,

⇒ 2y + 3y = 6,000

⇒ 5y = 6,000

⇒ y = 6,000 / 5

⇒ y = 1,200

Profit of B = 3y

⇒ 3 (1,200)

⇒ 3,600

B = Rs. 3,600

∴ B's gain profit is Rs. 3,600.

★ Verification:

Profit of A = 2y

⇒ 2 (1,200)

⇒ 2,400

A = Rs. 2,400

Both A and B's profits should add up to Rs. 6000

⇒ 2400 + 3600

⇒ 6000

Hence verified!