If ₹12,000 is divided into two parts such that the

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If ₹12,000 is divided into two parts such that the simple interest on the first part for 3 years at 12% per annum is equal to the simple interest on the
second part for 4 1 years at 16% per annum, the greater part is
2

Let the larger part of the sum be p
∴ Smaller part = (12000 – p)
According to the question,

p × 3 × 12	=	(12000 - p) × 9 × 16
100	=	2 × 100

⇒ 36 p = (12000 – p ) 72
⇒ p = (12000 – p ) × 2
⇒ p + 2p = 24000
⇒ 3p = 24000

⇒ p =	24000	= ₹ 8000
	3

second part for 4	1	years at 16% per annum, the greater part is
	2