PSLE A company offered 200 speakers at 20% 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 $32. 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 = 100 Number of speakers that were sold for the first five days = 200 - 100 = 100 Percentage of speakers that were sold for the first five days
=
100200 x 100%
= 50%
(c)
Number of speakers that were left at the end of the sale = 50
Number of speakers that were sold during the sale
= 200 - 50
= 150
Total amount that collected from the speakers sold
= 150 x 32
= $4800
Price of each speaker after 20% discount
= 100% - 20%
= 80%
80% of the price = 32
1% of the price = 32 ÷ 80 = 0.4
100% of the price = 100 x 0.4 = 40
Amount collected from selling the remaining speakers
= 50 x 40
= $2000
Total amount collected from selling all the 200 speakers
= 4800 + 2000
= $6800
Answer(s): (a) Day
2; (b) 50%; (c) $6800