**Question**

Traders A and B buy two goods for Rs. 1000 and Rs. 2000 respectively. Trader A marks his goods up by x%, while trader B marks his goods up by 2x% and offers a discount of x%. If both make the same profit, find x

A. 25%

B. 12.5%

C. 37.5%

D. 40%

**Answer Choice: (A)**

** **

**Explanatory Answer:**

SP of trader A = 1000 (1 + x)

Profit of trader A = 1000 (1 + x) – 1000

MP of trader B = 2000 (1 + 2x)

SP of trader B = 2000 (1 + 2x) (1 – x)

Profit of trader B = 2000(1 + 2x) (1 – x)- 2000

Both make the same profit => 1000(1 + x) – 1000 = 2000(1 + 2x) (1 – x)- 2000

1000x = 2000 – 4000x^{2} + 4000x – 2000x – 2000

4000x^{2} -1000x = 0

1000x (4x – 1) = 0

ð x = 25%

**Answer Choice (A)**

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