Question

aT A FURNITURE STORE, THE PRICE OF A COMPUTER SET IS 20% THAT OF A SOFA SET. MISS LIM BOUGHT A COMPUTER SET AND A SOFA SET AND WAS GIVEN A 30% DISCOUNT ON BOTH ITEMS. SHE PAID A TOTAL OF $2730 FOR THEM.

(A) WHAT WAS THE PRICE OF THE SOFA SET BEFORE DISCOUNT?
(b) WHAT WAS THE PRICE OF THE COMPUTER SET AFTER DISCOUNT?

Answer 1

Step-by-step explanation:

Lets take cost of sofa set be x

cost of computer = 20x/100=x/5

sum of their costs = x+x/5 = 5x+x/5 = 6x/5

Discount % = 30

6x/5-6x/5*3/10=$2730

6x/5-9x/25=2730

30x-9x/25=2730

21x/25=2730

21x=2730*25

x=2730*25/21

x=3250

(a) Cost of sofa set before discount =x=$3250

(b)Cost of computer set after discount =x/5*3/10

                                                               =3250/5*3/10=65*3=$195