7. The marked price of a computer is = 22,000. After allowing a 10% discount, a dealer still makes a profit of 20%. Find the cost price of a computer.
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Rs. 16500
Step-by-step explanation:
Profit = selling price - cost price
let the cost price be x
The selling price:
= 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 - x
% profit = profit/ cost price ×100%
= 19800-x/ x×100% = 20%
= 100(19800-x)/x = 20
= 100(19800-x)/x = 20
= 1980000 - 100x = 20x
= 120x = 1980000
= x = 1980000/120
x = Rs. 16500
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