{"id":22120,"date":"2022-01-14T12:09:02","date_gmt":"2022-01-14T06:39:02","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=22120"},"modified":"2022-01-14T12:09:51","modified_gmt":"2022-01-14T06:39:51","slug":"ap-board-7th-class-maths-solutions-chapter-7-intext-questions-new-syllabus","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-board-7th-class-maths-solutions-chapter-7-intext-questions-new-syllabus\/","title":{"rendered":"AP Board 7th Class Maths Solutions Chapter 7 Ratio and Proportion InText Questions"},"content":{"rendered":"

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

AP State Syllabus 7th Class Maths Solutions 7th Lesson\u00a0Ratio and Proportion InText Questions<\/h2>\n

[Page No. 1]<\/span><\/p>\n

There are several situations in our daily life where we use ratio and proportion. Let us look at the following pictures and answers to the given questions:
\nQuestion 1.
\nCan we say the ratio of speeds of Cheetah to Man?
\n\"AP
\nAnswer:
\nSpeed of Cheetah = 120 kmph
\nSpeed of a man = 20 kmph
\n\u2234 Ratio of speed of Cheetah to a man
\n= 120 : 20
\n= 6 : 1<\/p>\n

Question 2.
\nWhat will be the ratio of heights of HematoAmir?
\n\"AP
\nAnswer:
\nHeight of Hema = 150 cm
\nHeight of Amir 75 cm
\n\u2234 Ratio of heights 150 : 75
\n= 2 : 1<\/p>\n

Question 3.
\n\"AP
\nAnswer:
\nCost of 2 Hands of banana = \u20b9 80
\n\u2234 Cost of 3 Hands of banana
\n= \\(\\frac{3}{2}\\) \u00d7 80 = \u20b9 120<\/p>\n

\"AP<\/p>\n

Question 4.
\nDo you know which aspect ratio makes constructions more attractive and beautiful?
\nAnswer:
\nGolden ratio is more beautiful. It is the ratio of a line segment cut in to two pieces of different lengths such that the ratio of whole segment to that of the longer segment is equal to that of longer segment to the shorter segment.<\/p>\n

Check your Progress [Page No. 4]<\/span><\/p>\n

Question 1.
\nWrite the compound ratio of the following given ratios.
\n(i) 3 : 5 and 4 : 3
\nAnswer:
\nGiven ratios are 3 : 5 and 4 : 3.
\nIf a : b and c : d are ratios, then their compound ratio is product of antecedents : product of extremes.
\nthat is a \u00d7 c : b : d
\n3 \u00d7 4 : 5 \u00d7 3
\n12 : 15
\n\u2234 Compound ratio = 4 : 5<\/p>\n

(ii) 8 : 3 and 6 : 5
\nAnswer:
\nGiven ratios are 8 : 3 and 6 : 5.
\nIf a : b and c : d are ratios, then their compound ratio is product of antecedents : product of extremes, that is
\na \u00d7 c : b : d
\n8 \u00d7 6 : 3 \u00d7 5
\n\u2234 Compound ratio = 16 : 5<\/p>\n

(iii) 2: 1 and 8: 7
\nAnswer:
\nGiven Ratios are 2 : 1 and 8 : 7.
\nIf a : b and c: d are ratios, then their compound ratio is product of antecedents : product of extremes that is a \u00d7 c : b : d
\n2 \u00d7 8 : 1 \u00d7 7
\n16 : 7
\n\u2234 Compound ratio= 16 : 7<\/p>\n

Question 2.
\nFill in the boxes with correct answers.
\n\"AP
\nAnswer:
\n\"AP<\/p>\n

[Page No. 6]<\/span><\/p>\n

Discuss and answer the following questions related to real-life situations:
\nQuestion 1.
\nIf the cost of 3 ball pens is \u20b9 15, then what is the cost of 6 such pens?
\nAnswer:
\n3 : 15 : : 6 : cost
\nCost x 3 = 15 \u00d7 6
\n\u2234 Cost = \\(\\frac{15 \\times 6}{3}\\) = \u20b9 30<\/p>\n

Question 2.
\nIn a school, for implementing ‘Mid day Meal\u2019 scheme for class VII of 40 students they need 6 kgs of rice for one day.
\n(i) How much rice is needed for 6 days?
\nAnswer:
\nRice required for 40 students for one day = 6 kgs
\nRice required for 6 days = 6 \u00d7 6 = 36 kg<\/p>\n

(ii) How much rice is needed for 10 days?
\nAnswer:
\nRice required for 10 days = 10 \u00d7 6 = 60 kg<\/p>\n

(iii) How much rice is needed for 5 days?
\nAnswer:
\nRice required for 5 days = 5 \u00d7 6 = 30 kg<\/p>\n

Let’s Explore [Page No. 6]<\/span><\/p>\n

Question 1.
\nGiven below the number of workers working for construction of a house and their wages in total.
\n\"AP
\nAnswer:
\n\"AP<\/p>\n

\"AP<\/p>\n

Let\u2019s Think [Page No. 7]<\/span><\/p>\n

Question 1.
\nIf the cost of 4 note books is 80. What would be the cost of7 note books? The above problem can be solved by using unitary method. Can you solve? How? Think.
\nAnswer:
\nGiven the cost of 4 note books = \u20b9 80
\nCost of 1 note book = 80 \u00f7 4 = \u20b9 20
\nCost of 7 note books = \u20b9 20 \u00d7 7
\n= \u20b9 140<\/p>\n

Check Progress [Page No 7]<\/span><\/p>\n

Question 1.
\nFill in the blanks, if the given quantities are in direct proportion.
\n\"AP
\nAnswer:
\n\"AP<\/p>\n

Let\u2019s\u2019 Do Activity [Page No. 8]<\/span><\/p>\n

Take a clock and fix Its minute hand at a particular number on clock (if it is 12 It will be easy). Then find and note the angles made by minute hand in every 15 minutes interval of time:
\n\"AP
\n\"AP
\nCheck whether they are in direct proportion or not?
\nAnswer:
\n\"AP
\n15 : 30 and 90 : 180
\nHere 1 :2 = 1 :2
\nIf ratios are equal, then they are in direct proportion.
\nSo, time passed and angle are in dire\u00e0t proportion.<\/p>\n

Let’s Think [Page No. 8]<\/span><\/p>\n

Question 1.
\nWhat is the angle made by minutes hand in a minute?
\nAnswer:
\nWe know angle made by minutes hand in 15 m = 90\u00b0
\nLet angle made by minutes hand in 1 m = x\u00b0
\nThen 15 : 1 = 90\u00b0: x\u00b0
\nIf the ratios are equal,
\nThe product of means = The product of extremes
\n\u21d2 15 \u00d7 x = 1 \u00d7 90\u00b0
\n\u21d2 \\(\\frac{15 x}{15}=\\frac{90^{\\circ}}{15}\\)
\n\u21d2 x = 6\u00b0
\n\u2234 Angle made by minutes hand in 1 minute = 6\u00b0<\/p>\n

Question 2.
\nWhat is the angle made by hours hand in one minute?
\nAnswer:
\nWe know angle made by hours hand in 1 hour (60 minutes) = 30\u00b0
\nLet angle made by hours hand 1 minute = x\u00b0
\nThen 60 : 1 = 30\u00b0: x\u00b0
\nIf the ratios are equal,
\nThe product of means = The product of the extremes
\n\u21d2 60 \u00d7 x = 1 \u00d7 30
\n\u21d2 \\(\\frac{60 x}{60}=\\frac{30}{60}=\\frac{1}{2}\\)
\n\u21d2 x = \\(\\frac{1}{2}\\) (or) 0.5\u00b0
\n\u2234 Angle made, by hours hand in 1 minute = \\(\\frac{1}{2}\\)\u00b0 (or) 0.5\u00b0<\/p>\n

\"AP<\/p>\n

Check your Progress [Page No. 9]<\/span><\/p>\n

Question 1.
\nFill in the blanks if the given quantities are in inverse proportion.
\n\"AP
\nAnswer:
\n\"AP<\/p>\n

Check your Progress [Page No. 13]<\/span><\/p>\n

Question 1.
\nAnalyse how the three quantities given below are related and find ‘x’.
\n\"AP
\nAnswer:
\nFrom the above,<\/p>\n