A shopkeeper allows a discount of 10% on the printed price of his goods and thus gains 20%. What is the ratio between the cost price and the printed price of the item?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)

Answer 1

Given :

Discount = 10%

Profit = 20%

Calculation :

By going through ratio method,

F1 Other Arbaz 30-10-23 D14

Here we have to make the SP same So,

F1 Other Arbaz 30-10-23 D15

Ratio = 15 : 20 = 3 : 4

∴ The correct answer is 3 : 4.

Alternate MethodCalculation:

Let the Marked price be 100

Discount of 10% on the printed price of his goods,

SP = 100 - (100 × 10%) = Rs. 90 then,

Gains 20% then CP is,

CP = {100/(100 + Profit %)} × SP.

CP = {100/(100 + 20%)} × 90

CP = 100/120 × 90 = Rs. 75

The ratio between CP and MP

⇒ 75 : 100 = 3 : 4

∴ The ratio between the cost price and the printed price is 3 : 4