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Question
A shop is sold at 30% profit, the amount of brokerage at the rate of `3/4`% amounts to
₹ 73,125. Find cost of the shop
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Solution
It is given that,
Brokerage is ₹ 73,125 and brokerage rate is `3/4`%
Let selling price be x.
Brokerage = Selling price of shop × Brokerage rate
∴ `73,125 = "x" xx 3/4`%
∴ `73,125 = "x" xx 0.75/100` %
∴ x = `(73,125 xx 100)/0.75`
∴ x = 97,50,000
∴ Selling price for the shop is 97,50,000.
It is mentioned that shop is sold at 30% profit.
If purchase price is ₹ 100, then selling price is ₹ 130.
For selling price ₹ 97,50,000, cost price will be 100 → 130
? → 97,50,000
∴ Cost price = `(97,50,000 xx 100)/130` = 75,00,000
∴ Cost of the shop is ₹ 75,00,000.
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Three cars were sold through an agent for ₹ 2,40,000, ₹ 2,22,000 and ₹ 2,25,000 respectively. The rates of commission were 17.5% on the first, 12.5% on the second. If the agent overall received 14% commission on the total sales, find the rate of commission paid on the third car.
Solution: Total selling Price of three cars = 2,40,000 + 2,22,000 + 2,25,000
= `square`
Commision on total sale = 14%
= `14/100 xx square`
Selling price of First car = ₹ 2,40,000
Rate of commission = 17.5%
= `17.5/100 xx 2,40,000 = square`
∴ Commission on first car = ₹ `square`
Selling price of Second car = ₹ 2,22,000
Rate of commission = 12.5%
= `12.5/100 xx 2,22,000 = square`
∴ Commission on second car = ₹ `square`
Selling price of third car = ₹ 2,25,000
Let the rate of commission be x
Commission on third car = `x/100 xx 2,25,000`
∴ Commission on third car = Total commission − (commission on first car + commission on second car)
∴ `x/100 xx 2,25,000 = square - {square + square}`
∴ x = `square`
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