An article when sold at a gain of $5$ % yield Rs. $15$ more than when sold at a loss of $5$ $%$ . Its cost price would be:

Rs.

150

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Rs.

200

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Rs.

250

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Rs.

300

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Solution

The correct option is A Rs. $150$
Suppose the CP of the article $=$ Rs. $100$
I case :
Profit $= 5 %$
SP $=$ $100 + 5$ $=$ Rs. $105$
II case :
Loss $= 5 %$
SP $=$ CP $-$ loss $=$ $100 - 5$ $=$ Rs. $95$
Difference between two SP's
$=$ $105 - 95$ $=$ Rs. $10$
If the difference $=$ Rs. $10$ , then CP $=$ Rs. $100$
If the difference $=$ Rs. $15$ , then CP $= \frac{100}{10} \times 15 =$ Rs. $150$

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If an article is sold at a gain of 5 % instead of being sold at a loss of 5 %, a man gets Rs. 5 more. What is the cost price of the article ?

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Q. Tick (✓) the correct answer:
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An article when sold at a gain of 5% yield Rs. 15 more than when sold at a loss of 5 %. Its cost price would be:

An article when sold at a gain of $5$ % yield Rs. $15$ more than when sold at a loss of $5$ $%$ . Its cost price would be: