Three partners A, B and C shared the profit in a business in the ratio 3 : 5 : 7 and their investment time period ratio is 4 : 3 : 2. If they all invested ₹14,20,000. Then amount invested by B is :

₹4,00,000

The correct answer is Option (1) → ₹4,00,000

Profit sharing ratio of A, B and C = 3 : 5 : 7

Investment time period ratio of A, B and C = 4 : 3 : 2

Total investment = 14,20,000

$\text{Investment}=\frac{\text{Profit Share}}{\text{Time period share}}$

$\frac{x}{y}=\frac{\frac{3}{4}}{\frac{5}{3}}=\frac{9}{20}$

$\frac{y}{z}=\frac{\frac{5}{3}}{\frac{7}{2}}=\frac{10}{21}$

$⇒x:y:z=9:20:42$

∴ Total investment = $9x+20x+42x=14,20,000$

$⇒71x=14,20,000$

$⇒x=\frac{14,20,000}{71}$

$=₹4,00,000$