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If 80% of A = 50% of B and B = x% of A, then the value of x is :
Answer & Solution
Correct Answer:
Option
C
80% of A = 50% of B
⇒ $$\frac{80}{100}$$A = $$\frac{50}{100}\,$$B
⇒ 8A = 5B
⇒ A = $$\frac{5}{8}$$B
Put value of A in given equation,
B = x% of A
⇒ B = $$\frac{x}{100}$$ × $$\frac{5}{8}\,$$B
⇒ x = $$\frac{100 × 8}{5}$$
⇒ x = 160
⇒ $$\frac{80}{100}$$A = $$\frac{50}{100}\,$$B
⇒ 8A = 5B
⇒ A = $$\frac{5}{8}$$B
Put value of A in given equation,
B = x% of A
⇒ B = $$\frac{x}{100}$$ × $$\frac{5}{8}\,$$B
⇒ x = $$\frac{100 × 8}{5}$$
⇒ x = 160
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