Correct Answer - Option 3 : 19, 38

**Given:**

Average price of 16 books = Rs. 18

Average price of 14 books = Rs. 16.50

Price of one of remaining book = 50% of price of another remaining book

**Concept used:**

Average = Total sum of observation/Number of observations

**Calculation:**

As we know that

Average = Total sum of observation/Number of observations

Total price of 16 books = Rs. 18 × 16

⇒ Rs. 288

Total price of 14 books = Rs. 16.50 × 14

⇒ Rs. 231

Total Price of remaining books = Total price of 16 books - Total price of 14 books

⇒ Rs. (288 - 231)

⇒ Rs. 57

Now, Let the price of one of remaining book be x

Price of another remaining book = 50% of x

⇒ x/2

According to the question

x + (x/2) = Rs. 57

⇒ 3x/2 = 57

⇒ x = (57 × 2)/3

⇒ x = Rs. 38

Price of another remaining book = 38/2

⇒ Rs. 19

**∴ The prices of books are Rs. 19 and Rs. 38. **