Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
If 60% of a number is added to 120, then the result is the number itself. 60% of this number is ________.
200
320
180
300
180
If a number is reduced by 60% (i.e. 40% remains), then 40% of the number equals 120. Therefore, 100% of the number is 0.4120тАЛ = 300, and 60% of the number is 0.6 ├Ч300=180.
60% of a number added to 120 gives the number itself.
x+10060тАЛx=120┬аor┬а0.6x+120=x
If a number is reduced by 60% (i.e. 40% remains), then 40% of the number equals 120. Therefore, 100% of the number is 0.4120тАЛ = 300, and 60% of the number is 0.6 ├Ч300=180.
Many students calculate the number itself (300) and choose 300 as the answer, forgetting that the question asks for '60% of this number'.
Formulate the Equation
Let the unknown number be x. According to the question, adding 60% of x to 120 results in x itself.
120+0.6x=x
Solve for the Number x
Rearrange the equation to isolate x: 120=xтИТ0.6x120=0.4xx=0.4120тАЛ=300
x=300
Calculate 60% of the Number
The question asks for 60% of this number. Substituting x=300: Required┬аValue=0.6├Ч300=180
0.6├Ч300=180
C is correct because 60% of the number is 180.
Similar algebraic percentage formulations appear frequently in profit-loss and mixture problems in quantitative aptitude tests.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants