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The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is total number of chocolates Ram and Shyam jointly possess? I) Ram got 6 more chocolates than Shyam I) The ratio in which Ram and Shyam receives chocolate is 4 ∶ 1 III) 1st and 3rd proportional in a term are the number of chocolates received by Ram and Shyam

The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is total number of chocolates Ram and Shyam jointly possess? I) Ram got 6 more chocolates than Shyam I) The ratio in which Ram and Shyam receives chocolate is 4 ∶ 1 III) 1st and 3rd proportional in a term are the number of chocolates received by Ram and Shyam Correct Answer I and II together

Considering statement I,

Ram got 6 more chocolates than Shyam

This statement is not sufficient alone

Considering statement II,

Ram got 4/5 and Shyam got 1/5 of the chocolate

This statement is not sufficient alone

Considering statement III,

As we know,

2nd proportional × 2nd proportional = 1st proportional × 3rd proportional

This statement is also not sufficient alone

Considering statement I and III together,

Ram got 6 more chocolates then Shyam

2nd proportional × 2nd proportional = 1st proportional × 3rd proportional

These both statements are not enough to answer the question as 2nd proportional is not given

Considering statement I and II together,

Let the total number of chocolate be x

So, (x/5) + 6 = (4x/5)

⇒ (x + 30) /5 = (4x/5)

⇒ x + 30 = 4x

⇒ 30 = 3x

⇒ x = 30/3

⇒ x = 10

Total number of chocolates is 10

∴ Statement I and II is required to answer the question

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