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A product is sold at a profit of 25% on buying price. If the selling price is reduced by Rs. 12.5, the new profit is 20%. What is the buying price?

Asked by vinithavrc 11th August 2020, 11:14 PM
Answered by Expert
Answer:
Let the buying price of an article be Rs. x

As space per space the space first space condition comma space profit equals 25 percent sign space of space straight x
rightwards double arrow Selling space price equals straight x plus 25 percent sign space of space straight x equals straight x plus fraction numerator 25 straight x over denominator 100 end fraction equals fraction numerator 5 straight x over denominator 4 end fraction space... space left parenthesis straight i right parenthesis
After space reducing space selling space price space by space Rs. space 12.5 comma space the space profit space is space 20 percent sign
rightwards double arrow Selling space price minus 12.5 equals straight x plus 20 percent sign space of space straight x space equals space straight x plus fraction numerator 20 straight x over denominator 100 end fraction equals fraction numerator 6 straight x over denominator 5 end fraction
rightwards double arrow fraction numerator 6 straight x over denominator 5 end fraction plus 12.5 equals Selling space price
rightwards double arrow fraction numerator 6 straight x over denominator 5 end fraction plus 12.5 equals fraction numerator 5 straight x over denominator 4 end fraction space space space... space From space left parenthesis straight i right parenthesis
rightwards double arrow 24 straight x plus 250 equals 25 straight x
rightwards double arrow straight x equals 250
Hence comma space the space buying space price space is space Rs. space 250.
Answered by Expert 12th August 2020, 11:10 AM
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