if an article is sold at loss then the seller gets of 25.6% instead of a loss of 12.8% rs 18.50 less. What is cp
Answers
Step-by-step explanation:
Let the Cost Price (C.P) be Rs x and then at 8% of profit
Selling Price(S.P) would be :
Gain % =
C.P
(S.P−C.P)
×100
⇒8%=
x
S.P−x
×100
⇒
100
8x
=S.P−x
⇒S.P=
100
8x
+x
⇒S.P=
100
108x
.....(1)
Now If the loss is 8%
⇒
100
8x
=x−S.P
⇒S.P=
100
92x
...(2)
Now we have the condition ,from 1 and 2 we get :
S.P (profit) = S.P(loss) + 12
⇒
100
108x
=
100
92x
+12
⇒
100
(108−92)
x=12
⇒
100
16
x=12
⇒16x=12×100
⇒x=
16
12×100
⇒x=75
⇒C.P=Rs 75
The Cost Price of the article is Rs 75 .
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Answer:
The C.P of article is Rs. 144.50
Step-by-step explanation:
Let C.P of the article = Rs. 100
Case- I : When loss 12.8%
S.P = Rs. (100 - 12.8)
= Rs. 87.2
Case- II : when loss 25.6%
S.P = Rs. (100 - 25.6)
= Rs. 74.4
Difference of two selling price = Rs.(87.2-74.4)
= Rs. 12.8
if the difference of two selling price is Rs. 12.8 the C.P = Rs.100
if the difference of two selling price is Rs. 1 the C.P = Rs. 100 / 12.8
if the difference of two selling price is Rs. 18.5 the C.P = Rs.(100 / 12.8) x 18.5
= Rs. 144.50