# 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)__

$$\eqalign{
& {\text{Let}}\,{\text{the}}\,{\text{CP}}\,{\text{be}}\,100 \cr
& {\text{Hence}}, \cr
& {\text{SP}} = 100 + 12\% \,of\,100 \cr
& \,\,\,\,\,\,\, = 112 \cr
& {\text{If}}\,{\text{the}}\,{\text{marked}}\,{\text{price}}\,{\text{be}}\,X,\,{\text{then}} \cr
& 90\% \,of\,X = 112 \cr
& \Rightarrow x = \frac{{ {112 \times 100} }}{{90}} \cr
& \Rightarrow x = Rs.\,\frac{{1120}}{9} \cr
& {\text{Hence}}, \cr
& {\text{Required}}\,{\text{ratio}} \cr
& = 100:\,\frac{{1120}}{9} \cr
& = 900:1120 \cr
& = 45:56 \cr} $$ ## Join The Discussion

## Comments ( 7 )

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

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?

ritu had 400 mangoes.she sold 60 manoges at 25% gain,80 mangoes 20% gain,120 mangoes at gain 10% and 140 mangoes at 20% loss.what the net gain/loss percent??

plz tell me???