Quantity I A shopkeeper sold two books X and Y of same marked price but discounts given on both the ...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

Quantity I: A shopkeeper sold two books X and Y of same marked price but discounts given on both the books are different. On book X, the shopkeeper gives two successive discounts of 10% and 15% and on book Y, he gives a discount of 28%. If the difference between the selling prices of both the books is Rs.27. Find the marked price of each book.

Quantity II: A shopkeeper sold an article at Rs.490 at a loss of 12.5%. If the shopkeeper marked the article at 7(1/7)% above the cost price. Find the marked price of the article.

Quantity I > Quantity II

Quantity I < Quantity II

No relation.

Quantity I >= Quantity II

Quantity II > Quantity I

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Explanation:

From I: Let MP be Rs.x.
Total discount on book X = 10+15-{(10*15)/100} = 23.5%
SP of book X = 0.765x
Discount on book Y = 28%
SP on book Y = 0.72x
Now, 0.765x – 0.72x = 27
=> x = Rs.600
From II: SP of the article = Rs.490
Loss% = 12.5%
CP = 490/0.875 = Rs.560
MP of the article = 560*(7.5/7) = Rs.600
No relation.

Hence, option 3 is the correct answer.