Question

The earnings ratio of individuals 'P' and 'Q' stands at 5:3, respectively. 'P' manages to save 20% of their income, which is precisely 80% of what 'Q' saves. Calculate the intricate ratio of the expenditures incurred by 'P' and 'Q', respectively.

A 16:3 Correct Answer Incorrect Answer
B 16:9 Correct Answer Incorrect Answer
C 16:13 Correct Answer Incorrect Answer
D 16:7 Correct Answer Incorrect Answer

Solution

ATQ, Let the incomes of ‘P’ and ‘Q’ be Rs. ‘5a’ and Rs. ‘3a’, respectively Savings of ‘P’ = 0.2 × 5a = Rs. a Therefore, savings of ‘Q’ = a/0.8 = Rs. 1.25a Expenditure of ‘P’ = 5a – a = Rs. 4a Expenditure of ‘Q’ = 3a – 1.25a = Rs. 1.75a Required ratio = 4a:1.75a = 400a:175a = 16:7

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