The average height of Sanchi and Aarav is 12 P cm. The average height of Aarav, Charu and Deepika is 10 P cm. The average height of Charu and Deepika is 8P cm. Find Sanchi's height in terms of P.

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15 p

12 p

9 p

10 p

answer is D.

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Detailed Solution

Concept- We will create equations based on the average height of each person in order to answer this problem, and then we will use those equations to determine Sanchi's height. According to the
conditions stated in the equation, those equations can be created. Similar to how the average of n
numbers can be determined by dividing the total by n.
Let S, A, C, and D be Sanchi, Arav, Charu, and Deepika’s age. Given, Sanchi and Aarav are 12P cm tall on average. Thus,
Question Image

Also, Aarav, Charu, and Deepika are 10 P cm tall on average. Thus,
Question Image

And, Charu and Deepika are both 8P cm tall is a given.
Question Image

Now substituting the value of

in equation (2).

We obtain the value of S by substituting the value of A into equation (1):

Sanchi's height is 10P as a result.
Hence, option 4 is the correct answer.

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