Mr. Kumar spend 20% of his income on food, 18% on luxurious items, 6% on mobile recharge. He donates 4% his income to the trust. If he spent Rs. 3,600 on luxurious items, then find his saving.

Given:

Spend on food = 20%

Spend on luxurious items = 18%

Spend on mobile recharge = 6%

Donates in trust = 4%

Concept used:

Saving = Total amount – Total expenditure

Calculations:

Let total income of Mr. Kumar be x

Spend on food = x × 20 / 100 = x / 5

Spend on luxurious items = x × 18 / 100 = 9x / 50

Spend on mobile recharge = x × 6 / 100 = 3x / 50

Donate in trust = x × 4 / 100 = x / 25

Total expenditure = (x / 5) + (9x / 50) + (3x / 50) + (x / 25)

⇒ (20x + 18x + 6x + 4x) / 100

⇒ 48x / 100

Total saving = x – 48x / 100

⇒ 52x / 100 = 26x / 50

Spend on Luxurious items = Rs. 3,600

⇒ 9x / 50 = 3,600

⇒ x = 20,000

Total saving = 26x / 50

⇒ (26 × 20,000) / 50 = 10,400

∴ Total saving of Mr. Kumar is Rs. 10,400

Let total income of Mr. Kumar be 100

Total expenditure = 20 + 18 + 6 + 4 = 48

Total saving = 100 – 48 = 52

Spend on luxurious items = Rs. 3,600

18 = 3,600

52 = ?

Total saving = (3600 / 18) × 52 = 10,400