Divide ₹ 10230 into two parts such that the first part

Divide ₹ 10230 into two parts such that the first part after 10 years is equal to the second part after 7 years, compound interest being 20% per annum compounded yearly.

Let the first part be p and the second part q.

The first part after 10 years = p		1 +	20		¹⁰
			100

The second part after 7 years = q		1 +	20		⁷
			100

As given in the problem these two amounts are equal.
So,

q		1 +	20		⁷	= p		1 +	20		¹⁰
			100						100

⇒	q	=		1 +	20		₃
	p				100

⇒	q	=	216
	p		125

and we have p + q = ₹ 10230
Using the ratio formula

q =	216	×10230 = ₹ 6480
	216 + 125

p =	125	×10230 = ₹ 3750
	216 + 125