4Number 4ExplanationMrs. Kartika buys a jacket for Rp250.000,00\text{Rp}250.000,00Rp250.000,00. The shop gives a discount of 25%25\%25%, and there is a tax of 5%5\%5%. The price Mrs. Kartika has to pay is ....Rp196.875,00\text{Rp}196.875,00Rp196.875,00Rp196.775,00\text{Rp}196.775,00Rp196.775,00Rp196.675,00\text{Rp}196.675,00Rp196.675,00Rp196.575,00\text{Rp}196.575,00Rp196.575,00Rp196.475,00\text{Rp}196.475,00Rp196.475,00ExplanationGiven: Initial jacket price = Rp250.000,00\text{Rp}250.000,00Rp250.000,00 Discount = 25%25\%25% Tax = 5%5\%5% First, we calculate the price after the discount. Since the discount is 25%25\%25%, Mrs. Kartika pays 100%−25%=75%100\% - 25\% = 75\%100%−25%=75% of the initial price. Price after discount=75%×250.000\text{Price after discount} = 75\% \times 250.000Price after discount=75%×250.000=75100×250.000= \frac{75}{100} \times 250.000=10075×250.000=187.500= 187.500=187.500 Next, a tax of 5%5\%5% is applied to the price after discount. Thus, the total to be paid is 100%+5%=105%100\% + 5\% = 105\%100%+5%=105% of the price after discount. Price to pay=105%×187.500\text{Price to pay} = 105\% \times 187.500Price to pay=105%×187.500=105100×187.500= \frac{105}{100} \times 187.500=100105×187.500=1,05×187.500= 1,05 \times 187.500=1,05×187.500=196.875= 196.875=196.875 Directly, the calculation can be written as: Price=(100−25)%×(100+5)%×250.000\text{Price} = (100 - 25)\% \times (100 + 5)\% \times 250.000Price=(100−25)%×(100+5)%×250.000=75%×105%×250.000= 75\% \times 105\% \times 250.000=75%×105%×250.000=0,75×1,05×250.000= 0,75 \times 1,05 \times 250.000=0,75×1,05×250.000=196.875= 196.875=196.875 So, the price Mrs. Kartika has to pay is Rp196.875,00\text{Rp}196.875,00Rp196.875,00.
