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Question 74
Radha marks her goods 25% above the cost price. She sells 35% of goods at the marked price, 40% at 15% discount and the remaining at 20% discount. What is her overall percentage gain?
Solution
Let the cost price be Rs.100 and total goods be 100.
cost price of 100 goods = 10000
Radha marks her goods 25% above the cost price.
So, marked price = Rs.125
ATQ,
$$125 \times 35 + 125 \times {85}{100} \times 40 +Â 125 \times {80}{100} \times 25
4375 + 4250 + 2500 = 11125
Gain = 11125 - 10000 = 1125
Percentage gain = $$\frac{1125}{10000} \times 100$$ = 11.25%
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