Question
Download Solution PDFThe ratio of income of two persons is 10 ∶ 6 and that of their expenditures is 18 ∶ 10. If they save ₹ 5,200 and ₹ 3,600 respectively, their incomes are :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ratio of income of two persons = 10 : 6
Ratio of their expenditure = 18 : 10 = 9 : 5
Their saving ₹ 5,200 and ₹ 3,600
Concept used:
Expenditure = Income - Saving
Calculations:
Let 10x and 6x be the income of the two persons respectively,
According to the question,
⇒ 5(10x - 5200) = 9(6x - 3600)
⇒ 50x - 26000 = 54x - 32400
⇒ 54x - 50x = 32400 - 26000
⇒ 4x = 6400
⇒ x = 1600
Thus,
their incomes = 10x = ₹ 16000 and 6x = ₹ 9600
∴ The correct answer is option (1).
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