The marked price of computer is Rs 22000. After allowing a 10% discount a dealer still makes a profit of 20% . Find the marked price of computer
Answers
The cost price of a product is the amount incurred in total to produce or manufacture the given item.
To find the cost price of the computer, assuming that this dealer is the manufacturer, the following is the procedure:
Profit = selling price - cost price
let the cost price be c
The selling price:
= 10% discount
= discounted price = 100%(marked price) - discount (10%) = 90%
= 90%/100% × 22000
= 0.9 × 22000
= rs. 19800
This discounted price is the selling price.
Therefore profit = 19800 - C
% profit = profit/ cost price ×100%
= 19800-c/ c ×100% = 20%
= 100(19800-c)/c = 20
= 1980000 - 100c = 20c
= 120c = 1980000
= c = 1980000/120
c = Rs. 16500
Therefore the cost price of the computer is Rs. 16500
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Marked Price = Rs 22,000
Find the price after discount :
10% discount = 10% x 22,000 = 0.1 x 22000 = Rs 2200
Price after discount = 22000 - 2200 = Rs 19800
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Find the cost price of the computer:
100 + 20 = 120%
120% = Rs 19,800
1% = 19800 ÷ 120 = Rs 165
100% = 165 x 100 = Rs 16,500
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Answer: The cost price of the computer is Rs 16,500
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