{"id":21930,"date":"2022-01-13T16:19:05","date_gmt":"2022-01-13T10:49:05","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=21930"},"modified":"2022-01-13T16:19:05","modified_gmt":"2022-01-13T10:49:05","slug":"ap-board-7th-class-maths-solutions-chapter-7-ex-7-4","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-board-7th-class-maths-solutions-chapter-7-ex-7-4\/","title":{"rendered":"AP Board 7th Class Maths Solutions Chapter 7 Ratio and Proportion Ex 7.4"},"content":{"rendered":"

SCERT\u00a0AP 7th Class Maths Solutions Pdf<\/a> Chapter 7 Ratio and Proportion Ex 7.4 Textbook Exercise Questions and Answers.<\/p>\n

AP State Syllabus 7th Class Maths Solutions 7th Lesson Ratio and Proportion Ex 7.4<\/h2>\n

Question 1.
\nIf 5 men take 8 days to type 10 books, then how many days it takes for 8 men to type 2 books?
\nAnswer:<\/p>\n\n\n\n\n\n
Number of Men<\/td>\nNumber of books typed<\/td>\nNumber of Days<\/td>\n<\/tr>\n
5<\/td>\n10<\/td>\n8<\/td>\n<\/tr>\n
8<\/td>\n2<\/td>\nx<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Here the 3 quantities are men, books typed and number of days.
\nLet the number days taken to type 2 books by 8 men be x.<\/p>\n

From the above,<\/p>\n

    \n
  • Number of days and men are in inverse proportion.<\/li>\n
  • Number of days and typed books are in direct proportion.<\/li>\n<\/ul>\n

    Here number of days depends on both men and number of books typed.<\/p>\n

    So, we have to take compound ratio of 8 : 5 and 10:2.
    \n8 : x = 8 \u00d7 10 : 5 \u00d7 2
    \nSince the ratios are equal,
    \nThe product of means = The product of extremes
    \n\u21d2 8 : x = 80 : 10
    \n\u21d2 x \u00d7 80 = 8 \u00d7 10
    \n\u21d2 \\(\\frac{80 x}{80}=\\frac{80}{80}\\)
    \n\u21d2 x= 1 day
    \nOr
    \nx = \\(\\frac{5}{8} \\times \\frac{2}{10}\\) \u00d7 8 = 1<\/p>\n

    \u2234 Number of days taken to type 2 books by 8 men is 1.<\/p>\n

    \"AP<\/p>\n

    Question 2.
    \nIf 5 men take 9 days to plough 18 acres of land, then find how long it takes 25 men for to plough 30 acres?
    \n\"AP
    \nAnswer:
    \nHere we have three quantities number of men, jj number of days and acres of land ploughed.<\/p>\n\n\n\n\n\n
    Number of Men<\/td>\nNumber of Land<\/td>\nNumber of Days<\/td>\n<\/tr>\n
    5<\/td>\n18<\/td>\n9<\/td>\n<\/tr>\n
    25<\/td>\n30<\/td>\nX<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    Let the number of days taken to plough the 30 acres of land by 25 men is x.<\/p>\n

    From the above,<\/p>\n

      \n
    • Number of days and number of men are in increase proportion.<\/li>\n
    • Number of days and acres of land ploughed in direct proportion.<\/li>\n<\/ul>\n

      Here number of days depends on both men and number of acres of land ploughed.<\/p>\n

      So, we have to take compound ratio of 25 : 5 and 18 : 30 is
      \n25 \u00d7 18 : 5 \u00d7 30
      \n\u2234 9 : x = 25 \u00d7 18 : 5 \u00d7 30
      \nSince the ratios are equal,
      \nThe product of means = The product of extremes
      \n\u21d2 x \u00d7 25 \u00d7 18 = 9 \u00d7 5 \u00d7 30
      \n\"AP
      \nOr
      \nx = \\(\\frac{5}{25} \\times \\frac{30}{18}\\) \u00d7 9 = 3 days
      \n\u2234 Number of days taken to plough 30 acres of land by 25 men is 3 days.<\/p>\n

      Question 3.
      \nRice cost \u20b9 480 is needed for 8 members for 20 days. What is the cost of rice required for 12 members for 15 days?
      \nAnswer:
      \nHere we have three quantities cost of rice, needed members and number of days.<\/p>\n\n\n\n\n\n
      Number of Members<\/td>\nNumber of Days<\/td>\nCost of Rice<\/td>\n<\/tr>\n
      8<\/td>\n20<\/td>\n\u20b9 480<\/td>\n<\/tr>\n
      12<\/td>\n15<\/td>\nX<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      Let the Cost of rice needed for 12 members for 15 days is x.<\/p>\n

      From the above,
      \n\u2022 Number of members and number of days are in inverse proportion.
      \n\u2022 Number of days and cost of rice are in direct proportion.<\/p>\n

      Here the cost of rice depends on both number of member needed and number of days.
      \nSo, we have to take compound ratio of 8 : 12 = 20 : 15 is
      \n8 \u00d7 20: 12 \u00d7 15
      \n480 : x = 8 \u00d7 20 : 12 \u00d7 15 Since the ratios are equal,
      \nThe product of means = The product of extremes
      \n\u21d2 x \u00d7 8 \u00d7 20 = 480 \u00d7 12 \u00d7 15
      \n\"AP
      \n\u2234 The cost of rice needed for 12 members for 15 days is \u20b9 540.<\/p>\n

      \"AP<\/p>\n

      Question 4.
      \n24 men working at 8 hours per day can dp a piece of work in 15 days. In how many days can 20 men working at 9 hours per day do the same work?
      \nAnswer:
      \nHere we have three quantities number of men, working hours per day and number of days.<\/p>\n\n\n\n\n\n
      Number of Men<\/td>\nWorking hours<\/td>\nNumber of Days<\/td>\n<\/tr>\n
      24<\/td>\n8<\/td>\n15<\/td>\n<\/tr>\n
      20<\/td>\n9<\/td>\nx<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      Let the number of days needed for 20 men working at 9 hours is x.
      \nFrom the above,
      \n\u2022 Number of men and members are in inversely proportional:
      \n\u2022 Number of men and their working hours per day are in direct proportion.
      \nHere the number of days depends on both number of men and working hours per day.
      \nSo, we have to take compound ratio of 24 : 20 = 8 : 9 is
      \n24 \u00d7 8 : 20 \u00d7 9
      \n\u2234 x : 15 = 24 \u00d7 8 : 20 \u00d7 9<\/p>\n

      Since the ratios are equal,
      \nThe product of means = The product of extremes
      \n\u21d2 x \u00d7 20 \u00d7 9 = 15 \u00d7 24 \u00d7 8
      \n\"AP
      \n\u2234 The number of days needed fur 20 men working at 9 hours is 16 days.<\/p>\n

      Question 5.
      \n12 painters can paint a wall of 180 meters long in 3 days. How many painters are required to paint 200 meters long wall in 5 days?
      \nAnswer:
      \nHere we have three quantities number of painters, length of wall and number of days required.<\/p>\n\n\n\n\n\n
      Length of wall<\/td>\nNumber of working days<\/td>\nNumber of Painters<\/td>\n<\/tr>\n
      180<\/td>\n3<\/td>\n12<\/td>\n<\/tr>\n
      200<\/td>\n5<\/td>\nX<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      Let the number of painters needed to paint 200 m long wall in 5 days is x.<\/p>\n

      From the above,<\/p>\n

        \n
      • Number of working days and number of painters are in inversely proportional.<\/li>\n
      • Number of working days and length of wall are in direct proportion.<\/li>\n<\/ul>\n

        Here the number of painters depends on both number of working days and length of wall.
        \nSo, we have to take compound ratio of 180 :,200 = 5 : 3 is 180 \u00d7 5 : 200 \u00d7 3
        \n\u2234 12 : x = 180 \u00d7 5 : 200 \u00d7 3
        \nSince the ratios are equal,
        \nThe product of means = The product of extremes
        \n\u21d2 x \u00d7 180 \u00d7 5 = 12 \u00d7 200 \u00d7 3
        \n\"AP
        \n\u21d2 x = 8
        \nThe number of painters needed to paint 200 m long wall in 5 days is 8.<\/p>\n","protected":false},"excerpt":{"rendered":"

        SCERT\u00a0AP 7th Class Maths Solutions Pdf Chapter 7 Ratio and Proportion Ex 7.4 Textbook Exercise Questions and Answers. AP State Syllabus 7th Class Maths Solutions 7th Lesson Ratio and Proportion Ex 7.4 Question 1. If 5 men take 8 days to type 10 books, then how many days it takes for 8 men to type …<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[9],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/21930"}],"collection":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/comments?post=21930"}],"version-history":[{"count":4,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/21930\/revisions"}],"predecessor-version":[{"id":21994,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/21930\/revisions\/21994"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/media?parent=21930"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/categories?post=21930"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/tags?post=21930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}