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Question
A merchant buys some mixers at 15% discount on catalogue price. The catalogue price is ₹ 5,500 per piece of a mixer. The freight charges amount to `2 1/2` % on the catalogue price. The merchant sells each mixer at 5% discount on catalogue price. His net profit is ₹ 41,250. Find a number of mixers.
Solution
Catalogue price (list price) is ₹ 5,500 per price of mixer.
Merchant buys the mixer at a discount of 15%.
∴ Purchase price = List price – Discount
`= 5,500 - 5,500 xx 15/100`
= 5,500 - 825
= ₹ 4,675
Freight charges are at `2 1/2`% which is 2.5% of catalogue price
∴ Freight = `5,500 xx 2.5/100` = ₹ 137.5
Total cost = Purchase price + Freight
= 4,675 + 137.5 = ₹ 4,812.5
Merchant sells each mixer at 5% discount on catalogue price.
Net selling price = Catalogue price – Discount
`= 5,500 - 5,500 xx 5/100`
= 5,500 – 275 = ₹ 5,225
Profit per mixer = Net selling price – Cost
= 5,225 – 4,812.5
= 412.50
Total profit earned is ₹ 41,250
Number of mixers sold = `"Total profit"/"Profit per mixer"`
`= 41250/412.5`
= 100
100 mixers were sold by merchant to earn
₹ 41,250 as net profit.
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