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A television costs AED 700 for the manufacturer to produce. The manufacturer marks the price up by 25% and sells the

television to a retailer. The retailer marks the price up 100%, before selling the television to the consumer.
Answers may be numbers only (or they may contain 'AED' or a '%' symbol, or a comma'').
1) How much must the consumer pay for the television?
2) What is the single % effect of the two markups? That is, what % increase takes the price from AED 880 to the final
price in question 1?

User Crenate
by
4.8k points

1 Answer

5 votes

Answer:

1) The consumer must pay AED 1750 for the television

2) The single % effect of the two markups is 250%

The % increase takes the price from AED 880 to the final price in

question 1 is 98.86%

Explanation:

* Lets explain how to solve the problem

- A television costs AED 700 for the manufacturer to produce

∴ The cost of the television is 700

- The manufacturer marks the price up by 25% and sells the television

to a retailer

- Assume that the cost of the television is 100%

∵ The manufacturer marks the price up by 25%

∴ The price of the television for the retailer is 100% + 25% = 125%

∵ The cost of the television is 700

∴ The price for the retailer = 700 × 125% = 700 × 125/100 = 875

∴ The price for the retailer is 875

- The retailer marks the price up 100%, before selling the television

to the consumer

- Assume that the retailer's price for the television is 100%

∵ The retailer marks the price up 100%

∴ The price of the television for the consumer is 100% + 100% = 200%

∵ The retailer's price is 875

∴ The consumer's price = 875 × 200% = 875 × 200/100 = 1750

1) The consumer must pay AED 1750 for the television

∵ The original price is 700 and the final price is 1750

∵ The percentage of increase = new /old × 100%

∴ The percentage of increase =
(1750)/(700)*100%

∴ The percentage of increase =
(1750)/(7)=250%

2) The single % effect of the two markups is 250%

∵ The old price is AED 880

∵ The final Price is AED 1750

∴ The percentage of increase =
(1750-880)/(880)*100%

∴ The percentage of increase =
(87)/(88)=98.86%

* The % increase takes the price from AED 880 to the final price in

question 1 is 98.86%

User Speednet
by
5.1k points
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