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Current monthly income of Sagar & Vishrut together is Rs. 61750. The income of Sagar and Vishrut is increased by 15% and 20% respectively. The new income of Sagar is Rs. 3600 less than the new income of Vishrut. What is the new income of Vishrut?

Current monthly income of Sagar & Vishrut together is Rs. 61750. The income of Sagar and Vishrut is increased by 15% and 20% respectively. The new income of Sagar is Rs. 3600 less than the new income of Vishrut. What is the new income of Vishrut? Correct Answer 38100

Given:

Sagar  + Vishrut = Rs 61750

Income increase = 15% and 20%

Calculation:

Let the income of Sagar&Vishrut be S and V,

⇒ Current total monthly income of 61750

⇒ S + V = 61750

⇒ S = x; V = 61750 – x

⇒ New income of V = New income of S + 3600

⇒ V’s new income = (61750 – x) × 120/100

⇒ S’s new income = x × 115/100

⇒ (61750 – x) × (120/100) = x ×  (115/100) + 3600

⇒ 61750 × 120 – 3600 × 100 = 115x + 120x

⇒ 7050000 = 235x

⇒ Sagar’s income X = (7050000/235) = 30000

⇒ Vishrut’s income = 61750 - 30000 = 31750

⇒ New Income of Vishrut = 31750 × (120/100)

⇒ Rs. 38100

∴ required answer is Rs 38100.

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