Question
7. Work out the final value after \( \$ 240 \) is increased by \( 30 \% \), then decreased by \( 15 \% \).
Ask by Summers Rojas. in Saudi Arabia
Dec 07,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
The final value is $265.2.
Solution
Calculate or simplify the expression \( 240*(1+0.3)*(1-0.15) \).
Calculate the value by following steps:
- step0: Calculate:
\(240\left(1+0.3\right)\left(1-0.15\right)\)
- step1: Add the numbers:
\(240\times 1.3\left(1-0.15\right)\)
- step2: Subtract the numbers:
\(240\times 1.3\times 0.85\)
- step3: Multiply the terms:
\(312\times 0.85\)
- step4: Multiply the numbers:
\(265.2\)
The final value after $240 is increased by 30% and then decreased by 15% is $265.2.
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Simplify this solution Mind Expander
To find the final value, you first increase \( \$240 \) by \( 30\% \). This means you calculate \( 30\% \) of \( 240 \), which is \( 0.30 \times 240 = 72 \). Adding this to the original amount gives you \( 240 + 72 = 312 \). Next, you decrease \( 312 \) by \( 15\% \). First, find \( 15\% \) of \( 312 \), which is \( 0.15 \times 312 = 46.8 \). Subtracting this from \( 312 \) gives you \( 312 - 46.8 = 265.2 \). Therefore, the final value is \( \$265.20 \).
