Question

A shopkeeper allows a discount of 10% to his customers and still gains 20%. Find the marked price of an article which costs ₹450 to the shopkeeper.

• A. 600

Answer 1

The correct option is A 600
Let M.P. be 100.
Discount = 10% of M.P.
=$\frac{10}{100}$​ of M.P.
=$\frac{10}{100}$​ ​× 100 = 10

S.P. = M.P. − Discount = 100 − 10 = 90
Gain = 20% of C.P.
=$\frac{20}{100}$ ​​× 450 = 90

S.P. = C.P. + Gain
= 450 + 90
= 540

If S.P. is 90, then M.P. is 100.
When S.P. is 540,
M.P. = $\frac{540\times 100}{90}$​ ​= 600

∴ The M.P. of an article = 600