Selling price of an article is R$ 39. If numeral value of gain percent is equa
to its C.P. then the C.P. of the article is :-
(1) Rs 32
(2) Rs 35
(3) Rs 24
(4) Rs 30
Answers
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0
Answer:
(4) Rs 30
Step-by-step explanation:
let the gain percentage be x%.
a/q,
C.P. = x
C.P. = (S.P. × 100)/(100+P)
= (39×100)/(100+x)
= 3900/(100+x)
Therefore,
3900/(100+x) = x
=> x(100+x) = 3900
=> 100x+x² = 3900
=> x²+100x-3900 = 0
=> x²+130x-30x-3900 = 0
=> x(x+130)-30(x+130) = 0
=> (x-30)(x+130) = 0
x cannot be negative.
Therefore,
x-30 = 0/(x+130)
=> x = 0+30
=> x = 30
C.P. = Rs 30
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