1c:I[1254,["7330","static/chunks/d3ac728e-78c3d5d7a486ed3a.js","5159","static/chunks/5159-48592f0bf1a47f9d.js","8175","static/chunks/8175-f84d59b9bd013e10.js","8167","static/chunks/8167-b25693a0140130f2.js","664","static/chunks/664-f64584b506570f6e.js","3703","static/chunks/app/practice-question/%5Bslug%5D/page-d1408559b663b83f.js"],"PracticeQuestionCard"] 1b:T4fc,{"@context":"https://schema.org","@type":"QAPage","name":"If the difference between the reciprocal of a positive proper fractio…","url":"https://vidyalelo.com/practice-question/if-the-difference-between-the-reciprocal-of-a-positive-proper-fraction-and-the-fraction-itself-be-frac920-then-the-fraction-is-107919","keywords":"practice questions, MCQ, MCQs with answers, objective questions, competitive exam questions, Competitive Exams, Competitive Exams MCQ, Competitive Exams MCQs, Competitive Exams questions, Competitive Exams practice questions, Aptitude, Aptitude MCQ, Aptitude MCQs, Aptitude questions, Aptitude practice questions, Problems On Numbers","mainEntity":{"@type":"Question","name":"If the difference between the reciprocal of a positive proper fractio…","text":"If the difference between the reciprocal of a positive proper fraction and the fraction itself be 9/20 , then the fraction is :","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option B. 4/5. Answer & Solution Answer: Option B Solution: Let the fraction be a/1 Then, & 1/a - a = 920 & 1 - a^2a = 920 & 20 - 20a^2 = 9a & 20a^2 + 9a - 20 = 0 & 20a^2 + 25a - 16a - 20 = 0 & 5a ( 4a + 5 ) - 4 ( 4a + 5 ) = 0 & ( 4a + 5 ) ( 5a - 4 ) = 0 & a = 4/5\\,\\,\\,\\,\\,\\,\\,\\, [ a - 5/4 ]"}}}1d:T40e,

Answer & Solution

Answer: Option B

Solution:

Let the fraction be $$\frac{a}{1}$$
Then,<