{"id":11065,"date":"2024-01-25T17:45:39","date_gmt":"2024-01-25T12:15:39","guid":{"rendered":"https:\/\/apboardsolutions.com\/?p=11065"},"modified":"2024-01-27T09:24:58","modified_gmt":"2024-01-27T03:54:58","slug":"ap-board-6th-class-maths-solutions-chapter-6-ex-6-4","status":"publish","type":"post","link":"https:\/\/apboardsolutions.com\/ap-board-6th-class-maths-solutions-chapter-6-ex-6-4\/","title":{"rendered":"AP Board 6th Class Maths Solutions Chapter 6 Basic Arithmetic Ex 6.4"},"content":{"rendered":"

AP State Syllabus AP Board 6th Class Maths Solutions<\/a> Chapter 6 Basic Arithmetic Ex 6.4 Textbook Questions and Answers.<\/p>\n

AP State Syllabus 6th Class Maths Solutions 6th Lesson Basic Arithmetic Ex 6.4<\/h2>\n

Question 1.
\nExpress each of the following percents as fractions in the simplest form,
\na) 15%
\nb) 35%
\nc) 50%
\nd) 75%
\nAnswer:
\na) Given percent is 15%
\n= \\(\\frac{15}{100}\\) = \\(\\frac{3}{20}\\) (fraction form) [\u2235 To express a percentage as a fraction first drop the symbol % and then divide it by 100.]<\/p>\n

b) Given percent is 35%
\n= \\(\\frac{35}{100}\\) = \\(\\frac{7}{20}\\) (fraction form)<\/p>\n

c) Given percent is 50%
\n= \\(\\frac{50}{100}\\) = \\(\\frac{1}{2}\\) (fraction form)<\/p>\n

d) Given percent is 75%
\n= \\(\\frac{75}{100}\\) = \\(\\frac{3}{4}\\) (fraction form)<\/p>\n

\"AP<\/p>\n

Question 2.
\nExpress each of the following fractions as percents.
\na) \\(\\frac{15}{2}\\)
\nb) 8\\(\\frac{1}{4}\\)
\nc) 5\\(\\frac{3}{4}\\)
\nd) 3\\(\\frac{1}{3}\\)
\nAnswer:
\na) Given number \\(\\frac{15}{2}\\) is in fraction form.
\nTo convert the fraction into percent we have to multiply the fraction by 100%
\n\\(\\frac{15}{2}\\) = \\(\\frac{15}{2}\\) \u00d7 100 = 15 \u00d7 50 = 750% (percent form)<\/p>\n

b) Given number 8\\(\\frac{1}{4}\\) is in fraction form.
\nTo convert the fraction into percent we have to multiply the fraction by 100%
\n8\\(\\frac{1}{4}\\) = \\(\\frac{33}{4}\\) = \\(\\frac{33}{4}\\) \u00d7 100 = 33 \u00d7 25 = 825%,(percent form).<\/p>\n

c) Given number 5\\(\\frac{3}{4}\\) is in fraction form.
\nTo convert the fraction into percent we have to multiply the fraction by 100 and assign the percentage symbol %
\n5\\(\\frac{3}{4}\\) = \\(\\frac{23}{4}\\) \u00d7 100 = 23 \u00d7 25 = 575% (percent form)<\/p>\n

d) Given number is 3\\(\\frac{1}{3}\\) in fraction form.
\nTo convert the fraction into percent we have to multiply the fraction by 100%
\n3\\(\\frac{1}{3}\\) = \\(\\frac{10}{3}\\) \u00d7 100 = \\(\\frac{1000}{3}\\) = 333\\(\\frac{1}{3}\\) % (percent form)<\/p>\n

Question 3.
\nExpress each of the following ratios as percents.
\n(a) 3 : 5 (b) 5 : 8 (c) 2.5 : 55 (d) 4 : 36
\nAnswer:
\na) 3 : 5
\nGiven ratio is 3 : 5.
\n3 : 5 = \\(\\frac{3}{5}\\) (fraction form)
\nTo convert the fraction into percent we have to multiply the fraction by 100%
\n\\(\\frac{3}{5}\\) = \\(\\frac{3}{5}\\) \u00d7 100 = 60% (percent form)<\/p>\n

\"AP<\/p>\n

b) 5 : 8
\nGiven ratio is 5 : 8
\n5 : 8 = \\(\\frac{5}{8}\\) (fraction form)
\nTo convert the fraction into percent we have to multiply the fraction by 100%
\n\\(\\frac{3}{5}\\) = \\(\\frac{3}{5}\\) \u00d7 100 = 62 \\(\\frac{1}{2}\\) % (percent form)<\/p>\n

c) 2.5 : 55
\nGiven ratio is 2.5 : 55
\n2.5 : 55 = \\(\\frac{2.5}{55}\\)
\nTo convert the fraction into percent we have to multiply the fraction by 100%
\n\"AP<\/p>\n

d) 4 : 3 6
\nGiven ratio is 4 : 36
\n4 : 36 = \\(\\frac{4}{36}\\) (fraction form)
\nTo convert the fraction into percent we have to multiply the fraction by 100%
\n\\(\\frac{4}{36}\\) = \\(\\frac{4}{36}\\) \u00d7 100 = \\(\\frac{100}{9}\\) = 11 \\(\\frac{1}{9}\\) % (percent form)<\/p>\n

Question 4.
\nExpress each of the following percents as ratios in the simplest form.
\n(a) 12% (b) 25% (c) 45% (d) 84%
\nAnswer:
\na) Given percent is 12%
\n= \\(\\frac{12}{100}\\) = \\(\\frac{3}{25}\\) (fraction form)
\n= 3 : 25 (ratio form)<\/p>\n

b) Given percent is 25%
\n= \\(\\frac{25}{100}\\) = \\(\\frac{1}{4}\\) (fraction form)
\n= 1 : 4 (ratio form)<\/p>\n

c) Given percent is 45%
\n= \\(\\frac{45}{100}\\) = \\(\\frac{9}{20}\\) (fraction form)
\n= 9 : 20 (ratio form)<\/p>\n

d) Given percent is 84%
\n= \\(\\frac{84}{100}\\) = \\(\\frac{21}{25}\\) (fraction form)
\n= 21 : 25 (ratio form)<\/p>\n

\"AP<\/p>\n

Question 5.
\nExpress each of the following percents as decimals,
\n(a) 1% (b) 6% (c) 19% (d) 67%
\nAnswer:
\na) Given percent is 1%
\n= 1% = \\(\\frac{1}{100}\\) (fraction form)
\n= 0.01 (decimal form)<\/p>\n

b) Given percent is 6%
\n= 6% = \\(\\frac{6}{100}\\) = \\(\\frac{3}{50}\\) (fraction form)
\n= 0.06 (decimal form)<\/p>\n

c) Given percent is 19%
\n= 19% = \\(\\frac{19}{100}\\) (fraction form)
\n= 0.19 (decimal form)<\/p>\n

d) Given percent is 67%
\n= 67% = \\(\\frac{67}{100}\\)
\n= 0.67 (decimal form)<\/p>\n

Question 6.
\nExpress each of the following decimals as percent.
\n(a) 0.04 (b) 0.52 (c) 0.125 (d) 0.0006
\nAnswer:
\na) Given decimal number is 0.04.
\nConvert this into fraction
\n\"AP<\/p>\n

b) Given decimal number is 0.52.
\nConvert this into fraction
\n\"AP<\/p>\n

c) Given decimal number is 0.125.
\nConvert this into fraction
\n\"AP<\/p>\n

d) Given decimal number is 0.0006.
\nConvert this into fraction
\n\"AP<\/p>\n

\"AP<\/p>\n

Question 7.
\nFind the number, which is 12\\(\\frac{1}{2}\\)% of 75.
\nAnswer:
\nGiven 12\\(\\frac{1}{2}\\)% of 75
\nWe know that x% of y = \\(\\frac{x}{100}\\) \u00d7 y
\n\"AP
\n(OR)
\n\"AP<\/p>\n

Question 8.
\nPavani secured 85% marks in mathematics paper. If maximum marks in the paper are 80, find the marks secured by her in that paper.
\nAnswer:
\nGiven maximum marks of the paper = 80
\nPercentage of marks secured by Pavani = 85%
\nMarks secured by Pavani
\n\"AP
\n\u2234 Marks secured by Pavani = 68<\/p>\n

\"AP<\/p>\n

Question 9.
\nSiva spends 78% of his monthly income. If he saves Rs. 7,700\/- per month, what is his monthly income?
\nAnswer:
\nLet Siva’s monthly income = Rs. x
\nPercentage of income spent = 78%
\nPercentage of income saved = 100% – percentage of spent income
\n= 100% – 78% = 22%
\nSaved income = 22% of monthly income = 7700
\n= 22% of x = 7700
\n\u21d2 \\(\\frac{1}{2}\\) \u00d7 x = 7700
\n\u21d2 x = \\(\\frac{7700\u00d7100}{2}\\)
\n\u21d2 x = Rs. 35000
\n\u2234 Siva’s monthly income = Rs. 35000<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus AP Board 6th Class Maths Solutions Chapter 6 Basic Arithmetic Ex 6.4 Textbook Questions and Answers. AP State Syllabus 6th Class Maths Solutions 6th Lesson Basic Arithmetic Ex 6.4 Question 1. Express each of the following percents as fractions in the simplest form, a) 15% b) 35% c) 50% d) 75% Answer: … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":38589,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[10],"tags":[],"jetpack_featured_media_url":"https:\/\/apboardsolutions.com\/wp-content\/uploads\/2021\/04\/Chapter-6-Basic-Arithmetic-Ex-6.4.png","_links":{"self":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/11065"}],"collection":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/comments?post=11065"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/11065\/revisions"}],"predecessor-version":[{"id":38590,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/11065\/revisions\/38590"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media\/38589"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media?parent=11065"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/categories?post=11065"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/tags?post=11065"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}