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Given below are two quantities named A & B. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: The ratio of marks obtained by Suman and Binoy is 3 : 4. If the combined average of their percentage is 84 and their sum of the marks is 252, find the maximum marks of the exam.  Quantity B: Rs. 450 is divided amongst three workers P, Q and R such that 8 times P’s share is equal to 12 times Q’s share which is equal to 6 times R’s share. How much did P get?

Given below are two quantities named A & B. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: The ratio of marks obtained by Suman and Binoy is 3 : 4. If the combined average of their percentage is 84 and their sum of the marks is 252, find the maximum marks of the exam.  Quantity B: Rs. 450 is divided amongst three workers P, Q and R such that 8 times P’s share is equal to 12 times Q’s share which is equal to 6 times R’s share. How much did P get? Correct Answer Quantity A = Quantity B or No relation

Quantity A:

∵ Sum of the marks of Suman and Binoy is 252 and ratio of marks obtained by Suman and Binoy is 3: 4;

∴ Marks obtained by Suman = 252 × 3/7 = 108 and

Marks obtained by Binoy = 252 × 4/7 = 144

∴ Combined average marks = (108 + 144)/2 = 126

∵ Combined average of their percentage is 84 and suppose the maximum marks are x;

∴ 84 × x/100 = 126

⇒ x = 12600/84 = 150

∴ Maximum marks of the exam = 150

 

Alternative method:

Sum of the marks of suman and binoy = 252

Average marks = 252/2 = 126

Now, Combined average of their percentage = 84 (given)

Required Maximum marks = 126/84 × 100 = 150  

 

Quantity B:

Given that:

8P = 12Q = 6R

And (P + Q + R) = 450

Putting the values of Q and R in terms of P:

∴ P + 8P/12 + 8P/6 = 450

⇒ 36P/12 = 450

⇒ P = 150

∴ P gets Rs. 150.

∴ Quantity A = Quantity B

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