SSC Sample Paper Mock Test-14 SSC CGL Tear-II Paper-1

The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80, after getting two successive discounts, the first at 10%. What was second discount rate?

A) 12%

B) 14%

C) 15%

D) 18%

Correct Answer: C

Solution :

Marked price = Rs. 720

Actual price = Rs. 550.80

First discount = 10%

Let the second discount be x%.

Then, we can write

\[720\,\,(1-0.10)(1-0.01x)=550.80\]

\[\Rightarrow \]\[720\times 0.9\,\,(1-001x)=550.8\]

\[\Rightarrow \] \[648\,\,(1-0.01x)=550.8\]

\[\Rightarrow \] \[1-0.01x=\frac{550.8}{648}\]

\[\Rightarrow \] \[0.01x=1-\frac{550.8}{648}\]

\[\Rightarrow \] \[x=\frac{1-0.85}{0.01}\]

\[\Rightarrow \] \[x=0.15\times 100\]

\[\Rightarrow \] \[x=15\]

\[\therefore \] Second discount = 15%