SSC Sample Paper Mock Test-18 SSC CGL Tear-II Paper-1

A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he gains Rs. 56 on one item, his advertised price of the item, in Rs, is

A) Rs. 820

B) Rs. 780

C) Rs. 790

D) Rs. 800

Correct Answer: D

Solution :

Let the advertised price be Rs. x.

\[\therefore \] Selling price = Rs. \[\frac{77x}{100}\]

\[\therefore \] Cost price = Rs. \[\left( \frac{77x}{100}-56 \right)\]

\[\therefore \]\[\frac{77x-5600}{100}\times \frac{110}{100}=\frac{77x}{100}\]

\[\Rightarrow \]\[\frac{77x-5600}{100}\times \frac{77x}{110}=\frac{7x}{10}\]

\[\Rightarrow \] \[77x-5600=70x\]

\[\Rightarrow \] \[7x=5600\]

\[\Rightarrow \] \[x\]= Rs. 800