Question

A shopkeeper marks the price of an article 30% above its cost
price and gives a customer discount of 15%. A customer
bought that article including 13% VAT at Rs 1872.975. Find
the marked price of the article and the gain of shopkeeper.​

Answer 1

Given :- A shopkeeper marks the price of an article 30% above its cost price and gives a customer discount of 15%. A customer bought that article including 13% VAT at Rs 1872.975 .

To Find :- The marked price of the article and the gain of shopkeeper ?

Answer :-

Let us assume that, Marked price of the article is Rs.100x .

so,

→ SP after 15% discount = [MP * (100 - Discount %)] / 100 = (100x * 85)/100 = Rs.85x .

and,

→ SP after 13% VAT = (85x * 113)/100 = Rs.96.05x .

A/q,

→ 96.05x = 1872.975

→ x = (1872.975/96.05)

→ x = 19.5

therefore,

→ Marked price of the article = 19.5 * 100 = Rs.1950 (Ans.)

now,

→ MP = 1950 = 30% above CP

so,

→ CP = (1950 * 100/130) = Rs.1500 .

hence,

→ Profit = SP - CP = 1872.975 - 1500 = Rs.372.975

→ Profit % = (372.975 * 100) / 1500 = 24.865 % (Ans.)

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