If 60% of (3/5) of a number equals 36, find the number.

Given data

• 0.60 × (3/5) × N = 36

Concept / Approach

• Convert percentages to decimals and solve the linear equation.

Step-by-step calculation

(60%)(3/5) = 0.60 × 0.60 = 0.36So 0.36N = 36 ⇒ N = 36 / 0.36 = 100

Verification

(3/5) of 100 = 60; 60% of 60 = 36 ✔

Common pitfalls

• Multiplying 60% and 3/5 incorrectly; 60% = 0.6, not 60.

Final Answer

100