Correct Answer - Option 2 : 15 lakhs

**Given****∶**

Rs. 25 lakhs has to be divided equally among his son and daughter.

Age of son is 7.5 years while daughter aged 15 years.

Money invested at 10% simple interest.

**Formula** **Used**∶

Basics of simple interest.

S.I. = PRT/100

**Calculation∶**

Let s. x be the amount that the daughter get.

So, the son get = (25,00,000 - x)

The daughter's money earns interest for = (20 - 15) = 5% @ 10% p.a. simple interest.

The son's money earns interest for = (20 - 7.5) = 12.5% @ 10% p.a. simple interest.

As the sum of money that each of the child get when they are 20 years is the same

So, x + (5 × 10 × x)/100 = (25,00,000 - x) + [12.5 × 10 × (25,00,000 - x)/100]

⇒ x + 50x/100 = (25,00,000 - x) + [(125/100) × 25,00,000 - 125x/100]

⇒ 2x + 50x/100 + 125x/100 = 25,00,000 × (1 + 5/4)

⇒ (200x + 50x + 125x)/100 = 9/4 × 25,00,000

⇒ 375x/100 = 9/4 × 25,00,000

⇒ 15x = 9 × 25,00,000

⇒ x = 15,00,000

**∴ His daughter get Rs. 15 lakhs.**