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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
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- 45 : 56
- 45 : 51
- 47 : 56
- 47 : 51
- 45 : 56
Correct Option: A
Let the CP be 100.
After profit of 12% ,
∴ SP = 112
discount = 10%
If the marked price be y, then
90 % of y = 112
⇒ y = | = ₹ | ||
90 | 9 |
∴ Required ratio = 100 : | |
9 |
Required ratio = 900 : 1120 = 45 : 56
Second method :
Here, r = 12%, D = 10%
= | ||
C.P. | 100 − D |
= | ||
C.P. | 100 − 10 |
= | ||
C.P. | 90 |
= | ||
M.P. | 112 |
= | ||
M.P. | 56 |
C.P. : M.P. = 45 : 56