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The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Answer & Solution
Correct Answer:
Option
B
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x
S.P. of x articles = Rs. 20
Profit = Rs. (20 - x)
$$\eqalign{ & \therefore {\frac{{20 - x}}{x} \times 100 = 25} \cr & \Rightarrow 2000 - 100x = 25x \cr & 125x = 2000 \cr & \Rightarrow x = 16 \cr} $$
S.P. of x articles = Rs. 20
Profit = Rs. (20 - x)
$$\eqalign{ & \therefore {\frac{{20 - x}}{x} \times 100 = 25} \cr & \Rightarrow 2000 - 100x = 25x \cr & 125x = 2000 \cr & \Rightarrow x = 16 \cr} $$
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Loginprofit on sale of X = 25%
assume cost price of 1 article is = 100
cost price of 20 articles = 20*100 = 2000
cost price of 20 article = sale price of X
sale price of X = 2000
Sale price of 1 article with % = 100+25%=125
value of X = cost price of 20 articles / sale price of 1 article with %
value of X = 2000/125 = 16
1cp = spx/20
sp= cp + profit% of cp
sp= spx/20 + spx/80
sp= 5spx/80
80sp = 5spx
x=16
CP/sp= X/20
P%=25 i.e 1/4 sp=5u &CP = 4u
Therefore 5u=20
1u=4
4u=16 therefore X=16
If the cost price of 20 apples is the same as the selling price of 25 apples. Find the profit or loss percent.
100%=? =16
It should be article in place of apple
.
. . CP of 20 apples= rs(100×20)=rs 2000
SP of one apple= rs 100+25=rs 125(25% profit)
SP of x apples=125x
Now, acc to question,
125x=2000
x=2000÷125=16
=16
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