Question

A's share in a business is 8000 more than B but A's capital is invested for 8 months while B's for 12 months. If their annual shares of profit are equal, then A's capital is?​

Answer 1

Answer:

A's capital is 24,000

Step-by-step explanation:

• A's share in a business is 8,000 more than B
• A invested for 8 months
• B invested for 12 months
• Their annual shares of profit are equal,
• A's capital = ??

Solution :

Let,

• B's capital = x
• A's capital = x + 8,000

A invested for 8 months :

⇒ 8 (x + 8,000)

B invested for 12 months,

So,

★ According to the Question :

⇒ 8 (x + 8,000) = 12x

⇒ 8x + 64,000 = 12x

⇒ 64,000 = 12x - 8x

⇒ 64,000 = 4x

⇒ x = 64,000/4

⇒ x = 16,000

B's capital = 16,000

• A's capital = x + 8,000

⇒ x + 8,000

⇒ 16,000 + 8,000

⇒ 24,000

A's capital = 24,000

Therefore, A's capital is 24,000

Answer 2

G I V E N :

A's share in a business is 8000 more than B but A's capital is invested for 8 months while B's for 12 months. If their annual shares of profit are equal, then A's capital is?

S O L U T I O N :

Let us assume :

Amount invested by B be x

Now, according to the question :

A's share in a business is 8000 more than B

So,

Amount invested by A be x + 8000

Amount invested by A is for 8 months

Then, it comes

• 8(x + 8000)

Now, B invested for 12 months or 1 year

Hence, the equation is :

• 8(x + 8000) = 12x

• x + 8000 = 12x/8

• x + 8000 = 3x/2

• x + 8000 = 1.5x

• 1.5x - x = 8000

Here, x means 1x

• 0.5x = 8000

Transposing 0.5 to the other side

• x = 8000/0.5

• x = 8000 ÷ 5/10

• x = 8000 × 10/5

• x = 80000/5

• x = 16000

Now, here we got B's share which is ₹ 16000

Hence, A's share is :

• x + 8000

Putting x = 16000 we get

• 16000 + 8000

• ₹ 24000

❍ A's share is ₹ 24000 and B's share is ₹ 16000 respectively