A shopkeeper allows 20% discount on his advertised price and to make a profit of 25% on his outlay. What is the advertised price (in Rs.) on which he gains Rs.6000?
solution
let MP(marked price) = rs 100
discount = 20% of MP = rs 20
Selling price (SP) = rs 80
SP = 125% of CP = $$\frac{125}{100} \times$$CPÂ
80=$$\frac{125}{100} \times$$CP
CP =$$\frac{100}{125} \times$$80
CP = rs 64
gain = 80- 64 = rs16
now real gain = 6000
16 = 6000
1 = 375
MP = rs 100 = 100 $$\times $$ 375 = 37500
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