SSC CHSL 2024 PYQ — Question 61

SSC CHSL - 10 July 2024 - Shift 4 • Quantitative Aptitude • Q61

A costs thrice as much as B. A is sold at a loss of 10%, and B is sold at 54\frac{5}{4} of its own price. If the selling price of A is ₹5,800 more than the selling price of B, then the cost price of A is:
 

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. ₹12,000.

Let the cost price of B be 100x.

⇒ CP of A = 300x

Now, SP of A = 300x × 90/100 = 270x

Also, SP of B = (5/4) × 100x = 125x

According to the given question,

270x - 125x = 5800

⇒ 145x = 5800

⇒ x = 40

Now, CP of A = 300x 

⇒ 300 × 40 = 12000