The earnings of 'Akash' and 'Bittu' are in the ratio 3:7, respectively. Determine the savings of 'Bittu', considering that his expenses equal 'Akash's income. Statement I: There is a Rs.35,000 difference between the savings of 'Akash' and 'Bittu'. Statement II: The combined expenditure of 'Akash' and 'Bittu' amounts to Rs.55,000.

ATQ, Let the incomes of 'Aaksh' and 'Bittu' be Rs.'3a' and Rs.'7a', respectively. So, expenditure of 'Bittu' = Rs.'3a' And saving of 'B' = 7a - 3a = Rs.'4a' Statement I: According to the statement; Saving of 'Akash' = Rs.'4a - 35000'  (Since, savings of 'Bittu' is Rs.4a and income of 'Akash' is Rs.3a therefore his savings must be less than that of 'Bittu') So, expenditure of 'Akash' = 3a - (4a - 35000) = Rs.(35000 - a) So, data in statement I alone is not sufficient to answer the question. Statement II: Expenditure of 'Akash' = Rs.(55000 - 3a) So, data in statement II alone is not sufficient to answer the question. On combining both statements, we have; 35000 - a = 55000 - 3a Or, 2a = 20000 So, a = 10000 So, savings of 'Bittu' = 4a = 10000 × 4 = Rs.40,000 So, the data in both statements I and II together is necessary to answer the question