By how much percent a shopkeeper must mark his goods above its cost price so as by giving 13% discount, he earns a profit of 45%.
Answer & explanation
Correct answer: option 3
C.P. : MRP = (100 - Discount)% : (100 + Profit)%
= (100 - 13)% : (100 + 45)%
= 87% : 145%
= 87 : 145
= 3 : 5
C.P. = 3R
MRP = 5R
So, shopkeeper marks up his goods by = \(\frac{5R\;-\;3R}{3R}\)× 100% = \(\frac{2}{3}\) × 100% = 66.66%