PSLE A company offered 200 speakers at 10% discount during a 7-day sale. The line graph shows the number of speakers left unsold at the end of each day.
- On which day was the most number of speakers sold? Give your answer in this format. (Eg Day 1)
- What percentage of the 200 speakers were sold in the first five days of the sale?
- During the sale, the discounted price of the speakers was $153. After the sale, the remaining speakers were sold without discount. What was the total amount of money collected from selling all 200 speakers?
(a)
The steepest line is from Day 1 to Day 2.
On Day
2, the most number of speakers was sold.
(b)
Number of speakers that were left at Day
5 = 80 Number of speakers that were sold for the first five days = 200 - 80 = 120 Percentage of speakers that were sold for the first five days
=
120200 x 100%
= 60%
(c)
Number of speakers that were left at the end of the sale = 40
Number of speakers that were sold during the sale
= 200 - 40
= 160
Total amount that collected from the speakers sold
= 160 x 153
= $24480
Price of each speaker after 10% discount
= 100% - 10%
= 90%
90% of the price = 153
1% of the price = 153 ÷ 90 = 1.7
100% of the price = 100 x 1.7 = 170
Amount collected from selling the remaining speakers
= 40 x 170
= $6800
Total amount collected from selling all the 200 speakers
= 24480 + 6800
= $31280
Answer(s): (a) Day
2; (b) 60%; (c) $31280