# A tricycle is sold at a gain of 15%. Had it been sold for ₹108 more the profit would have been 20% find the cost price

2
by nistha1

2015-12-10T15:08:12+05:30
Let CP = 100
when gain = 15%    sp = 100+15  = 115
when gain = 20%    sp = 100 + 20 =120
difference  =      120 -115 = 5
Applying Unitary method:
when sold for 5 more the cp of the article = 100
when sold for 108 more the cp of the article = 100/3*108 which is rs.3600
CP = 3600
• qais
• Content Quality
2015-12-10T15:41:16+05:30

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Method 1
let the CP be Rs x
now, gain % =15%
gain = 15x/100 =3x/20
so, SP =CP + gain
= x+ 3x/20
= 23x/20
now, if SP = 23x/20 + 108
gain % = 20
gain = 20x/100 = x/5
SP = x+x/5 = 6x/5
but SP =23x/20 + 108
so,
23x/20 + 108 = 6x/5
⇒6x/5 - 23x/20 = 108
⇒x/20 = 108
⇒x = 2160
so, CP = Rs 2160

method 2
20% - 15% = 108
5% =108
1% = 108/5
100% = (108/5)×100

=Rs 2160
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