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25% of 30% of 45% of 1 is equal to:
0.3375
33.75
0.03375
375
0.03375
Convert all percentages to decimals first: 0.25 × 0.3 × 0.45 = (0.25 × 0.3) × 0.45 = 0.075 × 0.45. Then multiply 75 × 45 = 3375 and adjust decimal places (3 + 2 = 5 places), resulting in 0.03375.
We need to calculate 25% of 30% of 45% of 1.
Result=10025×10030×10045×1
Convert all percentages to decimals first: 0.25 × 0.3 × 0.45 = (0.25 × 0.3) × 0.45 = 0.075 × 0.45. Then multiply 75 × 45 = 3375 and adjust decimal places (3 + 2 = 5 places), resulting in 0.03375.
A common mistake is calculating (0.25 + 0.3 + 0.45) or confusing the decimal place shift, resulting in 0.3375 or 3.375 instead of 0.03375.
Convert percentages to fractions
Express each percentage as a fraction with a denominator of 100.
25%=10025=0.25,30%=10030=0.3,45%=10045=0.45
Set up the multiplication expression
The phrase 'of' implies multiplication. Multiply the decimal values together.
0.25×0.3×0.45×1
Calculate the final product
First, multiply 0.25 by 0.3 to get 0.075. Then, multiply 0.075 by 0.45.
0.075×0.45=0.03375
C is correct because the product of 0.25, 0.3, and 0.45 is 0.03375.
This concept is fundamental for Profit and Loss questions involving successive discounts or population growth/decline problems where multipliers are used.