A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is:
A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{CP}}\,{\text{be}}\,100 \cr & {\text{Hence}}, \cr & {\text{SP}} = 100 + 12\% \,of\,100 \cr & \,\,\,\,\,\,\, = 112 \cr & {\text{If}}\,{\text{the}}\,{\text{marked}}\,{\text{price}}\,{\text{be}}\,X,\,{\text{then}} \cr & 90\% \,of\,X = 112 \cr & \Rightarrow x = \frac{{ {112 \times 100} }}{{90}} \cr & \Rightarrow x = Rs.\,\frac{{1120}}{9} \cr & {\text{Hence}}, \cr & {\text{Required}}\,{\text{ratio}} \cr & = 100:\,\frac{{1120}}{9} \cr & = 900:1120 \cr & = 45:56 \cr} $$This Question Belongs to Arithmetic Ability >> Profit And Loss
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Related Questions on Profit and Loss
A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51
A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000
A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%
A. Rs. 3,750
B. Rs. 3,250
C. Rs. 2,750
D. Rs. 2,250
Let,CP=100
So.
112cp=90mp
CP:MP=90:112
CP:MP=45:56
I love this solution ....its perfect...
MP/CP=(100+p)/(100-d)
MP/CP=112/90
MP/CP=56/45
Other way solve it
112% of CP = 90% of MP
⇒ CP : MP = 45 : 56
a shopkeeper earns a profit of 155 after selling a books of 0% discount on the printed price. The ratio of the cost price and the printed price of the book is ?
@shivansh srivastava what you did was absolutely right
The ratio what you got is multiple of 46:56
LP*90%=CP*120%
CP:LP=3:4
is this wrong??
as here we have to find the ratio
a pencil together with an eraser cost rs. 3.80. if the cost of the pencil is rs. 1 more than that of the eraser, find the cost of eraser?
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plz tell me???