Question

If 90% of A= 30% of B and B=X% of A , then the value of X is??​

Answer 1

Step-by-step explanation:

solution :

90/100A=30/100B

90/

100A=30/100mulyiply by x/100(A)

90A/100=30multiply by x(A)/100

90=3x/100

90multiply by100/30=x

x=300

Answer 2

Answer :-

The value of x is 300.

Solution :-

1) 90 % of A = 30 % of B

⇒ 90/100 of A = 30/100 of B

⇒ 90/100 * A = 30/100 * B

⇒ 9/10 * A = 3/10 * B

⇒ 9A/10 = 3B/10 ----(1)

2) B = x % of A

⇒ B = x/100 of A

⇒ B = x/100 * A

⇒ B = Ax/100

Substitute B = Ax/100 in eq(1)

$\sf \implies \dfrac{9A}{10} = \dfrac{3B}{10} \\ \\ \\ \sf \implies \dfrac{9A}{10} = 3 \bigg( \frac{Ax}{100} \bigg) \div 10 \\ \\ \\ \sf \implies \dfrac{9A}{10} = 3 \bigg( \frac{Ax}{100} \bigg) \times \dfrac{1}{10} \\ \\ \\ \sf \implies \dfrac{9}{10} = \frac{3x}{1000} \\ \\ \\ \sf \implies 9 = \dfrac{3x}{100} \\ \\ \\ \sf \implies x = \dfrac{9 \times 100}{3} \\ \\ \\ \sf \implies x = 3 \times 100 \\ \\ \\ \sf \implies x = 300$

The value of x is 300.