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Rama09 [41]
2 years ago
6

PLEASE SOLVE THIS :(​

Mathematics
1 answer:
Lesechka [4]2 years ago
5 0

Answer:

10.5 %

<u>Skills needed: Financial Math Essentials</u>

Step-by-step explanation:

1) First, before getting started, let's assume the price of the product is x. This variable will be used a lot throughout the problem (x).

2) Marking a price above means increasing the price in order to make money off of the purchased product. When raising something by y percent, the new price would be x + \frac{y}{100}*x.

---> In this case, the price increased by \textbf{30} percent.

This means that it would be: x+\frac{30}{100}x = x+0.3x=1.3x

New price is: 1.3x

3) The shopkeeper is then offering a \textbf{15} percent discount off of this marked price. When offering a b percent discount price, the new price (with discount), expressed algebraically is: a-\frac{b}{100}a

---> the expression above simplifies to (1-\frac{b}{100})a

In this case, a=1.3x, b=15

---> (1-\frac{15}{100})*1.3x = (1-0.15)*1.3x=0.85*1.3x=1.105x

This means that x, with discount, has been raised \textbf{10.5 percent}.

10.5 % is the profit percent

(The profit percent being the final marked up price - purchased price)

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