Mahi and Shekhar work in a shop and Mahi’s salary is (5/6)th of the salary of Shekhar. They spend Rs. 2000 each on shopping and after that, they save all the money. Find the salary of Mahi and Shekhar if the ratio of their savings is 4 : 5.
1. Rs. 10,000 and Rs. 12,000
2. Rs. 15,000 and Rs. 14,000
3. Rs. 15,050 and Rs. 15,500
4. Rs. 20,000 and Rs. 22,000
1. Rs. 10,000 and Rs. 12,000
2. Rs. 15,000 and Rs. 14,000
3. Rs. 15,050 and Rs. 15,500
4. Rs. 20,000 and Rs. 22,000
Correct Answer – Option 1 : Rs. 10,000 and Rs. 12,000
Given:
Mahi’s salary = (5/6)th of Shekhar’s salary
Money spent by both = Rs. 2000
The Ratio of Mahi and Shekhar’s savings = 4 : 5.
Calculations:
Let Shekhar’s salary be x
Mahi’s salary = 5x/6
According to the question,
⇒ (5x/6) – 2000 ∶ (x – 2000) = 4 ∶ 5
⇒ 5 ((5x/6) – 2000)) = 4(x – 2000)
⇒ (25x/6) – 10000 = 4x – 8000
⇒ (25x/6) – 4x = 10000 – 8000
⇒ (x/6) = 2000
⇒ x = Rs. 12000
Mahi’s salary = (5/6) × 12000 = 10000
∴ Mahi’s salary is Rs. 10,000 and Shekhar’s salary is Rs. 12,000.