The cost of an oven is 15% of the cost of TV. The difference between the price of the TV and oven is Rs. 34000. What is the average price of a TV and oven?
The cost of an oven is 15% of the cost of TV. The difference between the price of the TV and oven is Rs. 34000. What is the average price of a TV and oven? Correct Answer Rs. 23000
⇒ Average = sum of elements / number of elements
Given,
Let the price of a TV and an oven be Rs. a and Rs. b respectively.
The cost of oven is 15%of cost of TV.
⇒ b = (15/100)a
⇒ b = 3a/20
Given,
The difference between the price of TV and oven is Rs. 34000.
⇒ a - b = 34000
⇒ a - 3a/20 = 34000
⇒ 17a/20 = 34000
⇒ a = 34000 × (20/17)
⇒ a = 40000
The price of a TV = Rs. 40000
⇒ b = (3 × 40000)/20
⇒ b = 6000
The price of an Oven = Rs. 6000
The average price of TV and oven =
= (40000 + 6000)/2
= 23000
The average price of TV and oven is Rs. 23000.
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Feb 20, 2025