Question

recommended that entertainment expenses should be no more than 10% of a budget. kyan has a monthly income of $800 and spends $135 on entertainment. does kyans spending align with the suggested percentage? yes, because 7.3% is within the recommended range. no, because 13.6% is above the recommended range. yes, because 10% is at the upper limit of the recommended range. no, because 16.25% is above the recommended range

Explanation:

Step1: Calculate the percentage of entertainment spending

The formula for calculating the percentage is $\frac{\text{Entertainment Spending}}{\text{Monthly Income}}\times100\%$.
Given that the entertainment spending is $\$125$ and the monthly income is $\$800$.
So, the percentage is $\frac{125}{800}\times100\%$.
First, calculate $\frac{125}{800}=\frac{125\div5}{800\div5}=\frac{25}{160}=\frac{25\div5}{160\div5}=\frac{5}{32}$.
Then, $\frac{5}{32}\times100\% = 0.15625\times100\%=15.625\%$ (There seems to be a typo in the original options, assuming it's $16.25\%$ maybe due to wrong income value input conceptually. But following the formula: $\frac{125}{800}\times100\%=\frac{125\times100}{800}=\frac{12500}{800}=15.625\%$, if we assume income is $800$ as per calculation logic from options. If income is $760$ (to get $16.25\%$ as $\frac{125}{760}\times100\%\approx16.45\%$, close to $16.25\%$ conceptually wrong - but following the formula with given data in the problem as per the way it's presented (maybe income is $800$ mis - written as something else in options, but using the formula):

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If we assume the intended income is $760$ (to match the $16.25\%$ option, using the formula $\frac{125}{x}\times100\% = 16.25\%$, then $x=\frac{125\times100}{16.25}=\frac{12500}{16.25}\approx760$)

Step2: Compare with the recommended percentage

The recommended percentage is no more than $10\%$.
Since $16.25\%>10\%$ (assuming the correct income - related value to get $16.25\%$ as per options)

Answer:

No, because $16.25\%$ is above the recommended range.