Andy bought a limited-edition watch from an online website based in Thailand for 10 460 baht. Andy also paid S$15 in Singapore dollars for shipping and GST of 9% on the cost of the watch. The exchange rate between Thai baht (B) and Singapore dollars (S$) was B100 = S$P. Andy spent a total of S$436 in Singapore dollars. Find the value of P, giving your answer correct to 3 significant figures. Answer P = ...

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Worked solution

1. Express the cost of the watch in Singapore dollars using the exchange rate.

Since B100 = S$P,
$\text{Cost of watch in S\$} = \frac{10460}{100}P = 104.6P.$

2. Form an equation for the total amount paid including GST and shipping.

GST is $9\%$ of the cost of the watch, so the watch cost including GST is
$1.09(104.6P).$
Including shipping of S$15,
$1.09(104.6P)+15=436.$

3. Solve for P and round to 3 significant figures.

$1.09(104.6P)=436-15$
$114.014P=421$
$P=\frac{421}{114.014}=3.692529\ldots$
Correct to 3 significant figures,
$P=3.70.$

Answer

$P = 3.70$

AI analysis — may contain mistakes.

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