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Pavan gave 20% and 30% of his salary to his two friends Chandan and Lakshman. Chandan and Lakshman spend 40% and 50% of their money respectively. What is the ratio between the amount left with Chandan and Lakshman together and the amount left with Pavan?

Pavan gave 20% and 30% of his salary to his two friends Chandan and Lakshman. Chandan and Lakshman spend 40% and 50% of their money respectively. What is the ratio between the amount left with Chandan and Lakshman together and the amount left with Pavan? Correct Answer 27 ∶ 50

Given:

The amount that Pavan gives to Chandan = 20%

The amount that Pavan gives to Lakshman = 30%

Chandan and Lakshman spend 40% and 50% of their money.

Calculation:

Let the salary of Pavan be x

The amount that Pavan gives to Chandan = 20% of x

⇒ (20 / 100) × x = x / 5

The amount that Chandan spent = 40% of (x / 5)

⇒ (40 / 100) × (x / 5) = 2x / 25

Amount left with Chandan = (x / 5) – (2x / 25) = 3x / 25

The amount that Pavan gives to Lakshman = 30% of x

⇒ (30 / 100) × x = 3x / 10

The amount that Lakshman spent = 50% of (x / 4)

⇒ (50 / 100) × (3x / 10) = 3x / 20

Amount left with Lakshman = (3x / 10) – (3x / 20) = 3x / 20

The total amount that left with Chandan and Lakshman

⇒ (3x / 25) + (3x / 20) = 27x / 100

Now the amount left with Pavan

⇒ x – (x / 5) – (3x / 10) = 5x / 10 = x / 2

Now to find the ratio between the amount left with Chandan and Lakshman together and the amount left with Pavan

⇒ The total amount that left with Chandan and Lakshman ∶ the amount left with Pavan

⇒ 27x / 100 ∶ x / 2

⇒ 27 ∶ 50

∴ The ratio between the amount left with Chandan and Lakshman together and the amount left with Pavan is 27 ∶ 50.

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