Question

(c) A shopkeep
shopkeeper sold on article
at 20% discount and mode
loss of R go If he had
sold it at 5% discount, he
would have gurned. Rs go-
find the cost price and the
marked price of the article​

Answer 1

Step-by-step explanation:

Let MP=Marked Price and CP=Cost Price

-90=0.80MP-CP Eq 1

90=0.95MP-CP Eq 2

Subtract Eq 1 from Eq 2 to eliminate CP and the result is:

180=0.15MP; MP=180/0.15=Rs 1,200

Solution for CP using Eq 1: -90= 0.80(1,200)-CP;

-90=960-CP; CP=960+90=Rs 1,050

Check:

MP=1,200; CP=1,050, Discount of 20% so MP=0.20(1,200)=Rs 960

Profit=MP-CP=960–1,050= -Rs 90 negative so it is a loss. OK

Now at 5% discount, MP=0.95(1,200)=Rs 1,140

Profit=1,140–1,050=Rs 90 positive so it is a gain. OK

Therefore my answer for MP=Rs 1,200 and CP=Rs 1,050 are correct