Every year before the festive season, a shopkeeper increases the product by $35 %$ and then introduce two successive discount of $10 % a n d 15 %$ respectively. What is percentage loss and percentage gain?

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Solution

Let CP $= 100$
$35 %$ increase in SP $= ₹ 135$
10% discount in $₹ 135 = 135 \times 10 / 100 = 13.5$
1st SP $= 135 - 13.5 = 121.5$
15% discount in 1st SP $= 121.5 \times 15 / 100 = 18.225$
2nd SP $= 121.5 - 18.225 = 103.275$
So CP $= 100$
SP $= 103.275$
Gain by $103.275 - 100 = 3.20 % = 3.275 %$
Therefore, the gain percentage is $3.275 %$ .

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