Data Interpretation Ques 249

Question-

Directions : Study the following table and answer the questions that follow.

The incomes of company X and Y in 2010 were in the ratio of 3 : 4 respectively. What was the respective ratio of their expenditures in 2010?

(1) 7:22

(2) 14:19

(3) 15:22

(4) 27:35

(5) 35:49

Show Answer

Correct Answer: (3)

Solution: (3)

Income of company X Rs. = Rs. 3x (let)

Income of company Y Rs. = Rs. 4x

∴ Gain per cent =( Income − Expenditure  Expenditure )×100

For company X,

65=(3x−y1y1)×100

⇒65y1=300x−100y1

⇒165y1=300x

For company Y,

50=(4x−y2y2)×100

⇒50y2=400x−100y2

⇒150y2=400x

∴165y1150y2=300x400x=34

⇒y1y2=34×150165=15:22

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