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The ratio of monthly incomes of Amit, Bunny is 9 : 8 and their monthly expenditures are in the ratio 7:6. If each of them saves Rs. 8000 per month, find the sum of their monthly incomes.
- ARs. 36000
- BRs. 28000
- CRs. 68000
- DRs. 52000
Answer not set
Discussion 1
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CCommunity
Let the income of Amit be 9x and that of Bunny be 8x.
Let the expenditure of Amit be 7y and that of Bunny be 6y.
Hence, savings of Amit = 8000 = 9x – 7y
Savings of Bunny = 8000 = 8x – 6y
Hence,
9x – 7y = 8x – 6y
⇒ x = y
Substituting this in one of the above equations, we have
8000 = 2x
⇒ x = 4000
Hence, 9x = 36000 and 8x = 32000
⇒ sum of their incomes = 36000 + 32000 = 68000
Let the expenditure of Amit be 7y and that of Bunny be 6y.
Hence, savings of Amit = 8000 = 9x – 7y
Savings of Bunny = 8000 = 8x – 6y
Hence,
9x – 7y = 8x – 6y
⇒ x = y
Substituting this in one of the above equations, we have
8000 = 2x
⇒ x = 4000
Hence, 9x = 36000 and 8x = 32000
⇒ sum of their incomes = 36000 + 32000 = 68000