In a winter sale offered by a Clothing Shop following discount plans are offered for buyers of Jeans- Plan 1 - succesive discounts of 20% and 13% Plan 2 - discount of 14% followed by other discount of 21% Plan 3 - two successive discount of 20% and 25% Plan 4 - two successive discount of 17%. In which Plan the selling price will be least?  

In a winter sale offered by a Clothing Shop following discount plans are offered for buyers of Jeans- Plan 1 - succesive discounts of 20% and 13% Plan 2 - discount of 14% followed by other discount of 21% Plan 3 - two successive discount of 20% and 25% Plan 4 - two successive discount of 17%. In which Plan the selling price will be least?   Correct Answer Plan 3

Note:

In successive discount cases, the order of applying discounts can be taken in any order.

Calculation:

Let the marked price be Rs. x.

Selling Price = MRP (1 - Discount%)

Selling Price in Plan 1 = (1 – 0.20) × (1 – 0.13) × x = 0.696x

Selling Price in Plan 2 = (1 – 0.14) × (1 – 0.21) × x = 0.6794x

Selling Price in Plan 3 = (1 – 0.20) × (1 – 0.25) × x = 0.6x

Selling Price in Plan 4 = (1 – 0.17) × (1 – 0.17) × x = 0.6889x

∴ The Selling Price will be least under Plan 3