Irvin sold a book at a profit of 12%. if irvin had sold it for rs. 18 more, then 18% would have been gained. find the cost price.
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Let the CP of the book be ₹ x .Then S.P at a gain of 12%
S.P =( (100+12)/100) × x
[ S.P = ((100+gain%)/100)×C.P]
S.P= 112x/100...............(1)
When S.P is increased by ₹ 18 ,gain is 18%
S.P +18 = ( (100+18)/100) × x
S.P+18 = 118x /100
Put the value of S.P obtained from 1 &2
112x/100+18= 118x/100
18= 118x/100-112x/100
18 = 6x/100
18×100 = 6x
x= (18×100)/6
x= 3×100
x= ₹300
Hence,the C.P of a book = ₹300
==================================================================
Hope this will help you....
S.P =( (100+12)/100) × x
[ S.P = ((100+gain%)/100)×C.P]
S.P= 112x/100...............(1)
When S.P is increased by ₹ 18 ,gain is 18%
S.P +18 = ( (100+18)/100) × x
S.P+18 = 118x /100
Put the value of S.P obtained from 1 &2
112x/100+18= 118x/100
18= 118x/100-112x/100
18 = 6x/100
18×100 = 6x
x= (18×100)/6
x= 3×100
x= ₹300
Hence,the C.P of a book = ₹300
==================================================================
Hope this will help you....
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