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By selling an article for ₹20,240, a shopkeeper loses 8%. For what price (in ₹) should he sell it to make a profit of 12%?

A24,460

B26,440

C24,640

D26,044

Answer:

C. 24,640

Read Explanation:

Let the cost price (CP) be (x).

Given:
Selling at ₹20,240 results in an 8% loss
So,
SP=92\text{SP} = 92% \text{ of CP} = 0.92x
0.92x = 20240
x=202400.92=22000\Rightarrow x = \frac{20240}{0.92} = 22000

So, CP = ₹22,000

Now for 12% profit:
New SP=112\text{New SP} = 112% \text{ of CP} = 1.12 \times 22000 = 24640
Final Answer: ₹24,640


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