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sunil kumar

· started a discussion

· 1 Months ago

explain full concept and trick (Question: 184447.0 )

18 3/4%

Question:
A book seller sells a book at a gain of 10%. If he had bought it at 4% less and sold it for 6 more he would have gained 18\(\cfrac{3}{4}\)%. The cost price of the book is –
Options:
A) 130
B) 140
C) 150
D) 160
Solution:
Ans: (c)


Alt sol:


u can do by options . but let us see the long way. let CP be x. So SP is 1.1x. New CP = 0.96x and new SP is 1.1x+6. Now (1.1x+6)/(0.96x) - 1 = 18.75%=0.1875=> (1.1x+6)/0.96x = 1.1875=> 1.1x+6 = 1.14x=> x= 150

Knowledge Expert

· commented

· 1 Months ago

u can do by options . but let us see the long way. let CP be x. So SP is 1.1x. New CP = 0.96x and new SP is 1.1x+6. Now (1.1x+6)/(0.96x) - 1 = 18.75%=0.1875=> (1.1x+6)/0.96x = 1.1875=> 1.1x+6 = 1.14x=> x= 150
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