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.

Answer 1

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.