Question

If (2/3)^y = (32/243), then find the value of y% of 200.
1. 10
2. 5
3. 3
4. 2

Answer 1

Correct Answer - Option 1 : 10

Given:

(2/3)y = (32/243)

Calculation:

(2/3)y = (32/243)

Here, 32 = 2 × 2 × 2 × 2 × 2

⇒ 243 = 3 × 3 × 3 × 3 × 3

⇒ (2/3)y = (2/3)⁵

⇒ y = 5

According to question,

y% of 200

⇒ (y/100) × 200

⇒ (5/100) × 200 = 10

∴ The value of y% of 200 is 10.