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Question

A trader gives $$25 \%$$ discount on his articles and still makes a profit of $$25 \%$$. Find his profit per cent, if he sells his articles at $$10 \%$$ discount.


Solution

Lets marked price of goods Rs. $$100$$
After getting $$25\%$$ discount selling  price $$=100-25=75$$ Rs
After $$25\%$$ profit cost price$$\dfrac{100}{100+gain}S.P=\dfrac{100}{100+25}75=60$$ Rs
After $$10\%$$ discount market price $$=100-10=90$$ Rs
Profit $$=90-60=30$$ Rs
$$\%$$ of profit $$=$$ $$\dfrac{30\times 100}{60}= 50$$ $$\%$$

Mathematics

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