If number of basic sessions conducted by A were twice of the number of advanced sessions conducted b...........

Quantitative Aptitude (SBI-PO) Data Sufficiency

Direction: Study the given information carefully and answer the following questions.
Three yoga masters i.e., A, B, C and D conducted yoga sessions in a society. These yoga sessions are of three types viz. Basic (of 1 hour each), Regular (of 2 hours each) and Advanced (of 3 hours each). The pie chart given below shows the percentage distribution of total number of hours for which the given yoga masters conducted sessions in the society

If number of basic sessions conducted by A were twice of the number of advanced sessions conducted by him, then find the total number of sessions conducted by A

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Explanation:

Total number of hours for which yoga master A conducted sessions = 20% of 60 = 12 hours
Let number of advanced sessions conducted by A = x
And number of basic sessions conducted by A = 2x
Let number of regular sessions conducted by A = y
According to the question,
2x × 1 + y × 2 + x × 3 = 12
⇒ 5x + 2y = 12
Above equation is satisfied when, x = 2 and y = 1
Required number of sessions conducted by A = x + 2x + y
= 2 + 4 + 1 = 7
Hence, option 3 is the correct answer.