A merchant
buys some mixers at 15% discount on
Catalogue prices. The catalogue price is Rs 5500 per
piece of mixer. The freight charges amounts 5/2% on
catalogue price. The merchant sells each mixer at
5% discount on catalogue price His net profit
of
is Rs 41250. find the no of
mixers.
Answers
Given:
The catalogue price of 1 mixer = Rs 5500
The buying price for the merchant = 15 % discount on catalogue price
The freight charges = 5/2 % = 2.5 % of catalogue price
The selling price of each mixer = 5% discount on catalogue price
The net profit of Merchant = Rs 41250
To Find:
The total no of mixers traded by the merchant.
Calculation:
- The buying price for the merchant = 15 % discount on catalogue price
⇒ The buying price for the merchant = 85 % of the catalogue price
- The cost price for merchant = Buying price + Freight charges
⇒ The cost price for merchant = 85 % of the catalogue price + 2.5 % of the catalogue price
⇒ The cost price for merchant = 87.5 % of the catalogue price
- The selling price of each mixer = 5% discount on catalogue price
⇒ The selling price of each mixer = 95 % of the catalogue price
- The profit on 1 mixer = Selling Price - Cost price
⇒ Profit on 1 mixer = 95 % of the catalogue price - 87.5 % of the catalogue price
⇒ Profit on 1 mixer = 7.5 % of the catalogue price
⇒ Profit on 1 mixer = (7.5/100) × 5500
⇒ Profit on 1 mixer = Rs 412.5
- Net profit = Profit on 1 mixer × No of mixers
⇒ No of mixers = Net profit/Profit on 1 mixer
⇒ No of mixers = 41250/412.5
⇒ No of mixers = 100
- So, the total no of mixers traded by the merchant is 100.
Step-by-step explanation:
The catalogue price is Rs 5500 per
The freight charges amounts 5/2% on
The merchant sells each mixer at
plus all the things
Ans 41250.