Ricky's and Sally's incomes are in a 2:3 ratio. If the income of each is increased by Rs. 2000, the new ratio is 40:57. What is Sally's income?
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Answer:
The answer is 19000
Step-by-step explanation:
Given, Ricky's and Sally's incomes are in a 2:3 ratio
Let, Ricky's income is 2x
Sally's income is 3x
After increased the income Ricky's income is 2x+2000 and Sally's income is 3x+2000
Given the new ratio of their income is 40:57
Therefore, (2x+2000):(3x+2000)=40:57
⇒ (2x+2000)/(3x+2000)=40/57
⇒ 114x+114000=120x+80000
⇒ 120x-114x = 114000-80000
⇒ 6x = 34000
⇒ x = 34000/6 = 17000/3
∴ Sally's income= 3x+2000 = 3×(17000/3)+2000 = 17000+2000 = 19000
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