the price of an article is reduced by 20% find the original price of the article if the reduced price is rs 4000
ans 20000
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Let us consider the cost price of tricycle be = Rs x
Selling price of the tricycle be = Rs x
Given, Gain% = 16% of 100 = 16/100
Selling price of tricycle = x + x×16/100
= (100x+16x)/100
= 116x/100
= 29x/25
Given, if selling price is Rs 100 more
New Selling price = 29x/25 + 100
Then, Gain% = 20%
By using the formula
Gain % = (gain/cost price) × 100 [by using Gain = SP – CP]
20 = [((29x/25)+100) – x] / x × 100
20x/100 = (29x + 2500 – 25x)/25
x/5 = (29x + 2500 – 25x)/25
5x = 4x + 2500
x = 2500
∴ Cost price of tricycle is Rs 2500
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