Question

Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.

Quantity A - Two digit number. When the digits of this number are reversed, it increases by 18.

Quantity B - Profit percent. A discount of 5% is given while the marked price is Rs. 5400. Cost price is Rs. 4000.

1. Quantity A ≥ Quantity B
2. Quantity A ≤ Quantity B
3. Quantity A = Quantity B or no relationship can be established
4. Quantity A > Quantity B
5. Quantity A < Quantity B

Answer 1

Correct Answer - Option 3 : Quantity A = Quantity B or no relationship can be established

Quantity A:-

Let the two digit number be = 10x + y

Number when digits are reversed = 10y + x

According to given condition,

(10y + x) - (10x + y) = 18

⇒ 9(y - x) = 18

⇒ y - x = 2

Quantity A can be 79, 68, 57, 46, 35, 24, and 13.

Quantity B:-

Marked price = Rs. 5400

Discount = 5%

Selling price = (100 - 5) % of 5400

Selling price = Rs. 5130

Profit = 5130 - 4000 = Rs. 1130

Profit percent = (1130 / 4000) × 100 = 28.25%

Hence, no relationship can be established.