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 $$=100-25=75$$ RsAfter $$25\%$$ profit cost price$$\dfrac{100}{100+gain}S.P=\dfrac{100}{100+25}75=60$$ RsAfter $$10\%$$ discount market price $$=100-10=90$$ RsProfit $$=90-60=30$$ Rs$$\%$$ of profit $$=$$ $$\dfrac{30\times 100}{60}= 50$$ $$\%$$Mathematics

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