The rise in the income of A is 20%. He now spends Rs. 20,000 more which is double of the previous expenditure, keeping his savings same. Find the increased income (Rs.).
1. 120000
2. 190000
3. 160000
4. 110000
1. 120000
2. 190000
3. 160000
4. 110000
Correct Answer – Option 1 : 120000
Given:
The rise in the income of A is 20%.
He now spends Rs. 20,000 more which is double of the previous expenditure, keeping his savings same.
Formula Used:
Ratio of Profit = ratios of product of Amount invested and time
Income – savings = expenditure
Calculation:
Let initial income be Rs. 5x
New income be Rs. 6x
Let expenditure initially be Rs. y
New expenditure = Rs. (y + 20,000)
ATQ,
⇒ y + 20,000 = 2y
⇒ y = 20,000
Since savings is same
⇒ 5x – y = 6x – (y + 20,000)
⇒ 5x – 20,000 = 6x – y – 20,000
⇒ 5x – 20,000 = 6x – 40,000
⇒ x = 20,000
His increased income = 6x = Rs. (6 × 20,000) = Rs. 1,20,000
∴ His increased income is Rs. 1,20,000