SSC CPO 2024 PYQ — Question 120

The correct answer is option 3 i.e. ₹51,000.

Let the cost price of both articles be Rs. x each.

SP = CP × ${(100 + P) \over 100}$

Given that, SP of first article = $x \times {(100 + 12) \over 100}$

⇒ $112x \over 100$ = $28x \over 25$

Also, SP of second article = $28x \over 25$ + 3600

Overall profit = $15\frac{27}{51}$% = 15.5%

Overall SP = $2x \times {(100 + 15.5) \over 100}$ 

⇒ $231x \over 100$ 

Now, $28x \over 25$ +  $28x \over 25$ + 3600 = $231x \over 100$

⇒ $231x \over 100$ - $56x \over 25$ = 3600

⇒ 7x = 360000

⇒ x = 51000

Hence the cost price of each article is ₹51,000.