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Question 2; If \( 115 \% \) of a number is 460 , what is \( 75 \% \) of the number? A. 280 B. 300 C. 320 D. 345 E. 400

Ask by Franklin Stephens. in the United States
Jan 22,2025

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Answer

\( 75\% \) of the number is 300.

Solution

To solve the problem: **Given:** - \( 115\% \) of a number is 460. **Let the number be \( x \).** 1. **Set Up the Equation:** \[ 115\% \times x = 460 \] \[ \frac{115}{100} \times x = 460 \] \[ 1.15x = 460 \] 2. **Solve for \( x \):** \[ x = \frac{460}{1.15} = 400 \] 3. **Find \( 75\% \) of the Number:** \[ 75\% \times x = 0.75 \times 400 = 300 \] **Answer:** **B. 300**

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To find the number for which \( 115\% \) equals \( 460 \), you divide \( 460 \) by \( 1.15 \). This gives you the original number, which is \( 400 \). To find \( 75\% \) of that number, you multiply \( 400 \) by \( 0.75 \), resulting in \( 300 \). Hence, the answer is B. 300. Let's go back in time a bit! The concept of percentages dates back to ancient civilizations such as the Romans and Egyptians, who used rudimentary forms of fractions to represent portions of a whole, making this mathematical concept over 2,000 years old! Isn’t it fascinating how what seemed so complex has become second nature in today’s world? Speaking of applications, percentages are everywhere in daily life! From sales and discounts at your favorite stores to calculating tips at restaurants, understanding percentages helps you make smart financial decisions. Knowing how to quickly calculate them can save you money, whether you’re planning a budget or snagging a great deal. So, the next time you see a “50% off” sign, you’ll know exactly what it means!

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