陈（Tan）家于去年 2020 年 6 月在一家在线商店中从日本的一家家具制造商那里购买了一件价格为 30 万日元（0.3 million JPY）的家具。汇率转换图表中的方框显示了 2020 年 6 月 and 2021 年 6 月 1 日元（JPY）兑换新加坡元（SGD）的汇率。（1百万 = $10^6$）

1. Convert the furniture price from millions of JPY to JPY.

$0.3$ million JPY $= 0.3 \times 10^6 = 300\,000$ JPY

2. Use the June 2020 exchange rate to convert JPY to SGD.

Since JPY1000 $=$ SGD13.0374,

$300\,000\text{ JPY} = \frac{300\,000}{1000} \times 13.0374 = 300 \times 13.0374 = 3911.22$

1. Find the increased furniture price in JPY in 2021.

From part (a), the original price was $0.3$ million JPY:

$0.3\times 10^6=300\,000$ JPY

After a $2\%$ increase,

$300\,000\times 1.02=306\,000$ JPY

2. Convert the 2021 increased price from JPY to SGD using the June 2021 exchange rate.

June 2021 exchange rate: JPY $1000 =$ SGD $12.1865$

$306\,000\div 1000\times 12.1865=306\times 12.1865=3729.069$

So the 2021 cost would be SGD $3729.069$.

3. Find the amount saved compared with buying in June 2020.

Cost in June 2020 from part (a) $=$ SGD $3911.22$

Savings:

$3911.22-3729.069=182.151$

Rounded to the nearest cent, the amount saved is SGD $182.15$.