A fruit vendor fixed his selling price of mangoes at 40 % above the cost page
sells half of the stock of mangoes at this price, now he offers a discount of 15
on original selling price for one quarter of stock and rest at a discount of 30
original selling price. Find the gain percentage altogether?
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Answer:
Let the cost of making all the stock is 1,
then selling price = 1.3
Half of the stock was sold at original selling price, so sales money on half of the stock is :
1.3*1/2
One quarter of the stock was sold at a discount of 15% of selling price, which means it was sold at 85% of original selling price :
0.85*1.3*1/4
Remaining one quarter of the stock was sold at a discount of 30% of selling price, which means it was sold at 70% of original selling price :
0.7*1.3*1/4
Add them up to get the total sales money :
Total sales money = 1.3*1/2 + 0.85*1.3*1/4 + 0.7*1.3*1/4
= 1.15375
Subtract the cost price 1 from this to get the profit :
Profit = 1.15375 - 1 = 0.15375
Since the cost price is assumed to be unity, the profit is 15.375%
Step-by-step explanation:
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