Which of the following will have the lowest discount percentage?a)Mar...
Given :
Marked price : Cost price = 7 ∶ 3 and Cost price : Selling price = 3 ∶ 5
Marked price : Cost price = 7 ∶ 2 and Cost price : Selling price = 1 ∶ 2
Marked price : Cost price = 3 ∶ 1 and Cost price : Selling price = 5 ∶ 6
Marked price : Cost price = 8 ∶ 3 and Cost price : Selling price = 2 ∶ 3
Formula used:
Discount % =
Where, S.P = Selling Price
M.P = Marked Price, C.P = Cost Price
Calculation:
From the option,
Step 1: Option 1
Marked price : Cost price = 7 ∶ 3 -----(1)
Cost price : Selling price = 3 ∶ 5 ------(2)
Marked Price : Cost Price : Selling Price = 7 : 3 : 5
Let the value of Marked Price , Cost Price and Selling Price be 7x , 3x and 5x respectively
Discount % =
= 200/7
= 28.57 %
Step 2: Option 2
Marked price : Cost price = 7 ∶ 2 -----(3)
Cost price : Selling price = 1 ∶ 2------(4)
multiply(4) by 2 to make the Cost Price equal
Marked Price : Cost Price : Selling Price = 7 : 2 : 4
Let the value of Marked Price , Cost Price and Selling Price be 7x , 2x and 4x respectively
Discount % =
= 300 / 7
= 42.85 %(approx.)
Step 3: Option 3
Marked price : Cost price = 3 ∶ 1 -----(5)
Cost price : Selling price = 5 ∶ 6 ------(6 )
multiply (5) × 5 to make the Cost Price equal
Marked Price : Cost Price : Selling Price = 15 : 5 : 6
Let the value of Marked Price , Cost Price and Selling Price be 15x , 5x and 6x respectively
Discount % =
= 900/15
= 60%
Step 4: Option 4
Marked price : Cost price = 8 ∶ 3 -----(7)
Cost price : Selling price = 2 ∶ 3------(8)
multiply (8) × 3 and (7) by 2 to make the Cost Price equal
Marked Price : Cost Price : Selling Price = 16 : 6 : 9
Let the value of Marked Price , Cost Price and Selling Price be 16x , 6x and 9x respectively
Discount % =
= 700 / 16
= 43.75%
Hence, Option A has the lowest discount.
Answer is "Marked price : Cost price = 7 ∶ 3 and Cost price : Selling price = 3 ∶ 5" .