The price of a notebook is 20% of the price of a storybook. The price of a pencil is 10% of price of a pen. The price of a pen and a notebook is Rs. 20 and Rs. 40 respectively. The average price of a notebook and a pencil is what percent of the average price of a storybook and a pen?
The price of a notebook is 20% of the price of a storybook. The price of a pencil is 10% of price of a pen. The price of a pen and a notebook is Rs. 20 and Rs. 40 respectively. The average price of a notebook and a pencil is what percent of the average price of a storybook and a pen? Correct Answer 19.09%
⇒ Average = sum of elements / number of elements
Given,
Let the price of a notebook, a storybook, a pen and a pencil be Rs. a, Rs. b, Rs. c and Rs. d respectively.
The price of a notebook is 20% of the price of a storybook.
⇒ a = (20/100) × b
⇒ a = b/5
⇒ b = 5a
The price of a pencil is 10% of price of a pen.
⇒ d = (10/100) × c
⇒ d = c/10
⇒ c = 10d
Given,
The price of a pen and a notebooks is Rs. 20 and Rs. 40 respectively,
c = Rs. 20 and a = Rs. 40
Then,
⇒ b = 5a
b = 200
The price of a storybooks = Rs. 200
⇒ c = 10d
d = 20/10 = 2
The price of a pencil = Rs. 2
The price of a pencil and a notebooks is Rs. 20 and Rs. 40 respectively,
The average price of a notebook and a pencil =
= (40 + 2)/2
= 21
The average price of a notebook and a pencil = Rs. 21
The average price of a storybook and a pen =
= (20 + 200)/2
= 110
The average price of a storybook and a pen = Rs. 110
Required percentage:
= (21/110) × 100
= 19.09%
TIP:
Since the prices of pen and notebook are given, we do not need to assume their value. We can find the price of storybook and price of pencil and proceed with the calculation. It will take less time