JIPMAT 2025 (QA) - Cost price of article A is ₹ 200 more than the cost price of article B. Article A was sold at 10% loss and article B was sold at 25% profit. If the overall profit earned after selling both the articles is 4%, then what is the cost price of article B? | PYQs + Solutions | AfterBoards
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JIPMAT 2025 (QA) PYQs

JIPMAT 2025

Arithmetic
>
Profit & Loss

Easy

Cost price of article A is ₹ 200 more than the cost price of article B. Article A was sold at 10% loss and article B was sold at 25% profit. If the overall profit earned after selling both the articles is 4%, then what is the cost price of article B?

Correct Option: 2
Let the cost price of article B be xx \newline Then, the cost price of article A is (x+200)(x +200)
Article A is sold at 10%10\% loss, so Seling Price of A =(x+200)×0.90=0.9x+180= (x+200) \times 0.90 = 0.9x + 180 \newline Article B is sold at 25%25 \% profit, so Selling Price of B =1.25x= 1.25x
The total cost price =x+(x+200)=2x+200= x+(x+200)=2 x+200
Total selling price =0.9x+180+1.25x= 0.9x + 180 +1.25x
Also, overall profit is 4%4 \%, so total selling price =(2x+200)×1.04(2 x+ 200) \times 1.04
Thus, we get Selling Price: 0.9x+180+1.25x=1.04(2x+200)0.9x + 180+1.25 x=1.04(2 x+200) \newline 180+2.15x=2.08x+208180+2.15 x=2.08x + 208 \newline 0.07x=280.07x = 28 \newline x=400x = 400
Hence, the correct answer is Option 2.

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