On selling a book at 5/12 of the marked price, there is a loss of 50 percentage. What will be the ratio of marked price and cost price of the book?

a) 2 : 5
b) 6 : 5
c) 5 : 6
d) 3 : 8

Ans : b) 6 : 5

SSC Constable GD 21 Feb 2024 (2nd Shift)

Solution

Given :
Selling Price (SP) = $\frac{5}{12}$ of the Marked Price (MP)
Loss = 50%

Loss Calculation: Loss = Cost Price (CP) – Selling Price (SP)
Given Loss is 50%, so $\text{Loss} = \frac{50}{100} \times \text{CP} = \frac{1}{2} \text{CP}$

Selling Price in terms of Cost Price:

SP = CP – Loss
SP = CP – $\frac{1}{2}$ CP = $\frac{1}{2}$ CP

Selling Price in terms of Marked Price:

SP = $\frac{5}{12}$ MP

Equating the two expressions for SP:

$\frac{1}{2} CP = \frac{5}{12}$ MP

$\frac{\text{MP}}{\text{CP}} = \frac{12\times 1}{5\times 2} = \frac65$

So, the ratio of the Marked Price to the Cost Price is 6:5.

On selling a book at 5/12 of the marked price, there is a loss of 50 percentage. What will be the ratio of marked price and cost price of the book?

Solution

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