A retailer adds 30% to the cost price of all the goods that he sells. He offers a trade discount of 10% to some customers. If a customer receives the trade discount and pays K88.92 for an article:
1. What was the cost price to the retailer of the article? Show work.
Let the cost price of the article be x.
The retailer adds 30% to the cost price, so the selling price without discount is:
Selling price = x + 0.3x = 1.3x
The customer receives a 10% trade discount, so they pay 90% of the selling price:
0.9(1.3x) = K88.92
1.17x = K88.92
x = K88.92 / 1.17
x = K76
Therefore, the cost price to the retailer of the article was K76.
Can show more work on how u gotten answer.
Sure, here's a more detailed breakdown of the calculations:
1. Let x be the cost price of the article to the retailer.
2. The retailer adds 30% to the cost price, so the selling price without discount is 1.3x.
3. The customer receives a 10% trade discount, so they pay 90% of the selling price.
4. Therefore, the customer pays 0.9 * 1.3x = 1.17x for the article.
5. We are given that the customer pays K88.92 for the article, so we can set up the equation:
1.17x = K88.92
6. To find the cost price to the retailer, we solve for x:
x = K88.92 / 1.17
x = K76
Therefore, the cost price to the retailer of the article was K76.
Write in equation form w
Sure, here's how the calculations can be expressed in equation form:
Let x = cost price of the article to the retailer.
Selling price without discount = 1.3x
Customer pays 90% of the selling price = 0.9 * 1.3x = 1.17x
Given that the customer pays K88.92 for the article, we set up the equation:
1.17x = K88.92
Solving for x:
x = K88.92 / 1.17
x = K76
Therefore, the cost price to the retailer of the article was K76.
Show your work in terms of the multiplying factors
Let the cost price to the retailer be x.
The retailer adds 30% to the cost price, so the selling price without discount is:
1.3 * x
The customer receives a 10% trade discount, so they pay 90% of the selling price:
0.9 * (1.3 * x) = 1.17 * x
Given that the customer pays K88.92 for the article:
1.17 * x = K88.92
Solving for x:
x = K88.92 / 1.17
x = K76
Therefore, the cost price to the retailer of the article was K76.