By reducing the selling price of an article by Rs 50, a gain of 5% turns into a
loss of 5%. Find the original selling price of the article.
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Step-by-step explanation:
Assumption:Let the original C.P be Rs.x
Profit = 5% of x
= (5/100) × x
= x/20
S.P = x + x/20
= (20x + x)/20
= 21x/20
Now, by reducing Rs.50, S.P becomes 21x/20 - 50___(i)
Loss = 5% of x
= (5/100) × x
= x/20
S.P = C.P - loss
= x - x/20
= (20x - x)/20
= 19x/20________(ii)
From (i) and (ii),
21x/20 - 50 = 19x/20
=> 21x/20 - 19x/20 = 50
=> (21x - 19x)/20 = 50
=> 2x/20 = 50
=> 2x = 50 × 20
=> x = (50×20)/2
=> x = 500
Therefore, original S.P = 21x/20
= (21×500)/20
= Rs.525 ( Ans. )
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