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15 A roof tiler in New Zealand charges
$152.72 for a day of work after a GST of
15% is added. What was the charge before GST?

A roof tiler in New Zealand charges $\$152.72$ for a day of work after a GST of $15\%$ is added. What was the charge before GST?

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Add, subtract, multiply, and divide decimals: word problems

Full solution

Q. A roof tiler in New Zealand charges

\$152.72

for a day of work after a GST of

15\%

is added. What was the charge before GST?

Set Up Calculation: To find the original charge before GST, we need to reverse the GST calculation. The total amount paid includes the original charge plus $15\%$ GST. We can represent the original charge as $100\%$ , and the total charge after adding GST as $115\%$ . We need to calculate what $100\%$ (the original charge) is when $115\%$ is $\$152.72$ .
Calculate Original Charge: To find the original charge ( $100\%$ ), we divide the total charge by $115$ and then multiply by $100$ .
Original charge = (Total charge after GST / $115$ ) * $100$
Original charge = ( $\$152.72$ / $115$ ) * $100$
Round to Two Decimals: Now we perform the division and multiplication to find the original charge. $\newline$ Original charge = $(\$152.72 / 115) \times 100$ $\newline$ Original charge = $\$1.32713043478 \times 100$ $\newline$ Original charge = $\$132.713043478$
Round to Two Decimals: Now we perform the division and multiplication to find the original charge. $\newline$ Original charge = $(\$152.72 / 115) \times 100$ $\newline$ Original charge = $\$1.32713043478 \times 100$ $\newline$ Original charge = $\$132.713043478$ Since we are dealing with currency, we should round the original charge to two decimal places. $\newline$ Original charge = $\$132.71$

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