A shopkeeper makes an overall profit of 45% by selling the goods at different profit percentages to foreign and Indian customers. He sells products at marked price to foreign customers while gives 20% discount to Indian customers. If he sells products without any discount, he would make 80% profit. What percentage of the revenue he earns from foreign customers?a)100/29%b)4%c)35%d)36%e)None of theseCorrect answer is option 'A'. Can you explain this answer?

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A shopkeeper makes an overall profit of 45% by selling the goods at different profit percentages to foreign and Indian customers. He sells products at marked price to foreign customers while gives 20% discount to Indian customers. If he sells products without any discount, he would make 80% profit. What percentage of the revenue he earns from foreign customers?

a)
100/29%
b)
4%
c)
35%
d)
36%
e)
None of these

Correct answer is option 'A'. Can you explain this answer?

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A shopkeeper makes an overall profit of 45% by selling the goods at di...

Solution: Let M be marked price of per unit product, C the cost price and X and Y be quantities of product sold to foreigners and Indians respectively. Therefore the S.P. for foreigner is M and 0.8M for Indians.

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A shopkeeper makes an overall profit of 45% by selling the goods at di...

Given:
Overall profit = 45%
Profit without discount = 80%
Discount given to Indian customers = 20%

To find:
Percentage of revenue earned from foreign customers

Assuming the cost price of the goods is Rs. 100, we can calculate the selling price and profit for each scenario.

Profit without discount:
Cost price = Rs. 100
Profit = 80% of cost price = 80% of Rs. 100 = Rs. 80
Selling price = Cost price + Profit = Rs. 100 + Rs. 80 = Rs. 180

Profit with discount to Indian customers:
Discount = 20% of selling price = 20% of Rs. 180 = Rs. 36
Selling price to Indian customers = Selling price - Discount = Rs. 180 - Rs. 36 = Rs. 144
Profit = Selling price to Indian customers - Cost price = Rs. 144 - Rs. 100 = Rs. 44

Profit with marked price to foreign customers:
Profit = Overall profit - Profit with discount to Indian customers = 45% - 44% = 1%
Selling price to foreign customers = Cost price + Profit = Rs. 100 + Rs. 1 = Rs. 101

Calculating the percentage of revenue earned from foreign customers:
Let the revenue earned from foreign customers be x% of the total revenue.

Revenue from foreign customers = Selling price to foreign customers * x/100
Revenue from Indian customers = Selling price to Indian customers * (100 - x)/100

Total revenue = Revenue from foreign customers + Revenue from Indian customers

Given that the overall profit is 45%, we can write the equation:
Overall profit = (Revenue from foreign customers - Cost price) + (Revenue from Indian customers - Cost price) = 45% of Cost price

Substituting the values:
45% of Rs. 100 = (101 - 100) * x/100 + (144 - 100) * (100 - x)/100

45 = x/100 + 44(100 - x)/100
45 = x + 4400 - 44x
45 = 4400 - 43x
43x = 4355
x = 4355/43
x = 101

Therefore, the percentage of revenue earned from foreign customers is 101/100 = 100/29%

Hence, option A is the correct answer.

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