Directions: In the following question, two statements are numbered as

1.	Directions: In the following question, two statements are numbered as Quantity I and Quantity II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.Quantity I: A shopkeeper bought 5 lollypops in one rupee and marks them up by 25%. If he allows a 12% discount, then how many lollypops should he sell at Rs.22?Quantity II: A shopkeeper bought 4 lollypops in one rupee and marks them up by 26%. If he allows a 10% discount, then how many lollypops should he sell at Rs.28.35?1. Quantity I < Quantity II2. Quantity I = Quantity II3. Quantity I ≥ Quantity II4. Quantity I > Quantity II5. Quantity I ≤ Quantity II
Answer» Correct Answer - Option 2 : Quantity I = Quantity II Calculation: Quantity I: Cost of each lollypop = 1/5 Marked price per lollypop = 125% of 1/5 Discount = 12% ∴ Selling Price per lollypop = 88% of 125% of 1/5 ⇒ (88 × 125)/(100 × 100 × 5) ⇒ 0.22 In Rs. 0.22 anyone can buy 1 lollypop. Thus, in Rs. 22 anyone can buy = 1/0.22 × 22 ⇒ 100 Quantity II: Cost of each lollypop = 1/4 Marked price per lollypop = 124% of 1/4 Discount = 10% ∴ Selling Price per lollypop = 90% of 126% of 1/4 ⇒ (90 × 126)/(100 × 100 × 4) ⇒ 0.2835 In Rs. 0.22 anyone can buy 1 lollypop. Thus, in Rs. 22 anyone can buy = 1/0.2835 × 28.35 ⇒ 100 Quantity I = Quantity II

Directions: In the following question, two statements are numbered as Quantity I and Quantity II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.Quantity I: A shopkeeper bought 5 lollypops in one rupee and marks them up by 25%. If he allows a 12% discount, then how many lollypops should he sell at Rs.22?Quantity II: A shopkeeper bought 4 lollypops in one rupee and marks them up by 26%. If he allows a 10% discount, then how many lollypops should he sell at Rs.28.35?1. Quantity I < Quantity II2. Quantity I = Quantity II3. Quantity I ≥ Quantity II4. Quantity I > Quantity II5. Quantity I ≤ Quantity II

Answer» Correct Answer - Option 2 : Quantity I = Quantity II

Calculation:

Quantity I:

Cost of each lollypop = 1/5

Marked price per lollypop = 125% of 1/5

Discount = 12%

∴ Selling Price per lollypop = 88% of 125% of 1/5

⇒ (88 × 125)/(100 × 100 × 5)

⇒ 0.22

In Rs. 0.22 anyone can buy 1 lollypop.

Thus, in Rs. 22 anyone can buy = 1/0.22 × 22

⇒ 100

Quantity II:

Cost of each lollypop = 1/4

Marked price per lollypop = 124% of 1/4

Discount = 10%

∴ Selling Price per lollypop = 90% of 126% of 1/4

⇒ (90 × 126)/(100 × 100 × 4)

⇒ 0.2835

In Rs. 0.22 anyone can buy 1 lollypop.

Thus, in Rs. 22 anyone can buy = 1/0.2835 × 28.35

⇒ 100

Quantity I = Quantity II