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Two numbers are 35% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?
- A23.08 percent
- B15 percent
- C25 percent
- D30 percent
Answer not set
Discussion 1
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CCommunity
Given, two numbers are 35% and 50% lesser than a third number
Let the third number be ‘a’
1st number = a - 35% of a = 0.65a
2nd number = a - 50% of a = 0.5a
Let the % by which second number be enhanced be ‘c’%.
0.5a + c% of 0.5a = 0.65a
⇒ 0.5c/100 = 0.15
⇒ c = 30%
Alternate Method:
Given, two numbers are 35% and 50% lesser than a third number
Let's assume the third number be 100
1st$ number = 65
2nd$ number = 50
Required percenatge = ((65 - 50)/50) x 100
= 1500/50
= 30.
Let the third number be ‘a’
1st number = a - 35% of a = 0.65a
2nd number = a - 50% of a = 0.5a
Let the % by which second number be enhanced be ‘c’%.
0.5a + c% of 0.5a = 0.65a
⇒ 0.5c/100 = 0.15
⇒ c = 30%
Alternate Method:
Given, two numbers are 35% and 50% lesser than a third number
Let's assume the third number be 100
1st$ number = 65
2nd$ number = 50
Required percenatge = ((65 - 50)/50) x 100
= 1500/50
= 30.