100 pts!
A TRICYCLE IS SOLD AT A GAIN OF 15%. HAD IT BEEN SOLD FOR 108rs. MORE, THE PROFIT WOULD HAVE BEEN 20%. FIND THE COST PRICE.
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Answers
Solution:-
Gain = 15
Let the Cost Price of tricycle (in Rupees) = x
and the Selling Price = y
therefore ,
gain % = y - x /x *100
15 =100(y-x)/x
15x = 100y - 100x
15x + 100x = 100y
115x = 100y
or y = 1.15x .........................(1st)
condition 2nd :
selling price = y+108
gain % = 20
( y+108 - x /x)*100 = 20
or (y+108 -x ) = 20 *x/100
y+108 -x = x/5
y + 108 = x+x/5
y+108 = 5x+x /5
y+108 = 6x/5
y+108 = 1.2x
using y = 1.15x , we get
1.15x +108 = 1.2x
or 1.2x = 1.15x+108
1.2 x - 1.15x = 108
.05x = 108
5x/100=108
x/20 = 108
x = 108*20
x=2160
Hence the Cos
Answer:
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Refer to the attachment