Question
Quantity I: A shopkeeper bought an article for Rs. 3000
and marked its price up by 50%. He then gave two successive discounts of 10% and βxβ%, making a profit of Rs. 240. What is the value of βxβ? Quantity II: A's current age is 6 years younger than B's, and B is 12 years younger than C. If the ratio of the combined ages of A and B to C's age is 7:6, what will A's age be in 4 years? In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis.Solution
Answer: B Quantity I: CP of the article = Rs.3000 SP of the article = 3000 + 240 = Rs.3240 So,Β Β Β Β 405 * (100 β x) = 32400 40500 β 405x = 32400 x = 20 Quantity II: Let Cβs present age = βxβ years So, Bβs present age = (x β 12) years And Aβs present age = (x β 12 β 6) = (x β 18) years
12x β 180 = 7x x = 36 So, age of A after 4 years = 36 β 18 + 4 = 22 years Hence, Quantity I < Quantity II
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