Out of two numbers, 40% of the greater number is equal to

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Out of two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is

1. 70
2. 80
3. 90
4. 60

Correct Option: C

Let greater number be p.
∴ Smaller number = 150 – p
According to the question,

	40 × p	=	60(150 - p)
	100		100

⇒ 2p = 3 × 150 – 3p
⇒ 5p = 3 × 150
⇒ p = 90