Question

$(i) \pi r+2r = 4r\\(ii) r^{2} - \frac{\pi r^{2} }{2} = 4$


Please solve this equation by substitution method. Right answer will be marked as brainliest.

Answer 1

Step-by-step explanation:

Answer:

Current Ratio = 2.67 : 1

Liquid Ratio = 2 : 1

Explanation:

When stock was taken as ₹ 60,000

Current Ratio =

$\sf{\dfrac{Current \: Assets}{Current \: Liabilities} = \dfrac{3}{1}}$

Liquid Ratio =

$\sf{\dfrac{Liquid \: Assets}{Current \: Liabilites} = \dfrac{2}{1}}$

Current Ratio :

Let,

Current Liabilities = x

Current assets = 3x

Liquid Ratio :

Current Liabilities = x

Liquid assets = 2x

Stock = Current assets - Liquid assets

⇒ 60,000 = 3x - 2x

⇒ 60,000 = x

⇒ x = 60,000

Current Liabilities = 60,000

Current assets = 3x

⇒ 60,000 × 3

Current assets = 1,80,000

Liquid assets = 2x

⇒ 60,000 × 2 = 1,20,000

Liquid assets = 1,20,000

When stock is taken ₹ 40,000

Current assets = 1,80,000

⇒ 1,80,000 - 60,000

⇒ 1,20,000

⇒ 1,20,000 + 40,000

⇒ 1,60,000

Current assets = 1,60,000

Current Ratio =

$\sf{\dfrac{Current \: Assets}{Current \: Liabilities} = \dfrac{160000}{60000} =\dfrac{1}{2.67}}$

Liquid assets = Current assets - Stock

⇒ 1,60,000 - 40,000

⇒ 1,20,000

Liquid Ratio =

$\sf{\dfrac{Liquid \: Assets}{Current \: Liabilites} = \dfrac{120000}{60000} = \dfrac{2}{1}}$

Therefore,

Current Ratio = 2.67 : 1

Liquid Ratio = 2 : 1