{"id":587317,"date":"2022-03-29T06:45:46","date_gmt":"2022-03-29T06:45:46","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=587317"},"modified":"2022-03-30T04:55:43","modified_gmt":"2022-03-30T04:55:43","slug":"maharashtra-board-solutions-class-7-maths-practice-set-39-chapter-9-direct-proportion-and-inverse-proportion","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-7-maths-practice-set-39-chapter-9-direct-proportion-and-inverse-proportion\/","title":{"rendered":"Maharashtra Board Solutions Class 7-Maths (Practice Set 39): Chapter 9- Direct Proportion and Inverse Proportion"},"content":{"rendered":"\n

Class 7: Maths Chapter 9 solutions. Complete Class 7 Maths Chapter 9 Notes.<\/p>\n\n\n\n

Maharashtra Board Solutions Class 7-Maths (Practice Set 39): Chapter 9- Direct Proportion and Inverse Proportion<\/h2>\n\n\n\n

Maharashtra Board 7th Maths Chapter 9, Class 7 Maths Chapter 9 solutions<\/p>\n\n\n\n

Question 1.
Suresh and Ramesh together invested Rs 144000 in the ratio 4 : 5 and bought a plot of land. After some years they sold it at a profit of 20%. What is the profit each of them got?
Solution:<\/strong>
Total investment = Rs 144000
Profit earned = 20%
\u2234 Total profit = 20% of 144000 = 20100\u00d7144000 = Rs 28800
Proportion of investment of Suresh and Ramesh = 4:5
Let the profit of Suresh be Rs 4x and that of Ramesh be Rs 5x.
4x + 5x = 28800
\u2234 9x = 28800
\u2234 x=288009
= 3200
\u2234 Suresh\u2019s profit = 4x = 4 \u00d7 3200 = Rs 12800
Ramesh\u2019s profit = 5x = 5 \u00d7 3200 = Rs 16000
\u2234 The profit earned by Suresh and Ramesh are Rs 12800 and Rs 16000 respectively.<\/p>\n\n\n\n

Question 2.
Virat and Samrat together invested Rs 50000 and Rs 120000 to start a business. They suffered a loss of 20%. How much loss did each of them incur?
Solution:<\/strong>
Total investment = Rs 50000 + Rs 120000 = Rs 170000
Loss incurred = 20%
\u2234 Total loss = 20% of 170000 = 20100\u00d7170000 = Rs 34000
Proportion of investment = 50000 : 120000
= 5 : 12 \u2026. (Dividingby 10000)
Let the loss incurred by Virat be Rs 5x and that by Samrat be Rs 12x.
5x + 12x = 34000
\u2234 17x = 34000
\u2234 x=3400017=2000
\u2234 Virat\u2019s loss = 5x = 5 \u00d7 2000 = Rs 10000
Samrat\u2019s loss = 12x = 12 \u00d7 2000 = Rs 24000
\u2234 The loss incurred by Virat and Samrat are Rs 10000 and Rs 24000 respectively.<\/p>\n\n\n\n

Question 3.
Shweta, Piyush and Nachiket together invested Rs 80000 and started a business of selling sheets and towels from Solapur. Shweta\u2019s share of the capital was Rs 30000 and Piyush\u2019s Rs 12000. At the end of the year they had made a profit of 24%. What was Nachiket\u2019s investment and what was his share of the profit?
Solution:<\/strong>
Total investment = Rs 80000
Nachiket\u2019s investment = Total investment \u2013 (Shweta\u2019s investment + Piyush\u2019s investment)
= 80000 \u2013 (30000+ 12000)
= 80000 \u2013 42000 = Rs 38000
Profit earned = 24%
\u2234 Total profit = 24% of 80000 = 24100 x 80000 = Rs 19200
Proportion of investment = 30000 : 12000 : 38000
= 15 : 6 : 19 \u2026. (Dividing by 2000)
Let the profit of Shweta, Piyush and Nachiket be Rs 15x, Rs 6x and Rs 19x respectively.
15x + 6x + 19x = 19200
\u2234 40x = 19200
\u2234 x=1920040=480
\u2234 Nachiket\u2019s profit = 19x = 19 \u00d7 480 = Rs 9120
\u2234 Nachiket\u2019s investment is Rs 38000 and his profit is Rs 9120.<\/p>\n\n\n\n

Question 4.
A and B shared a profit of Rs 24500 in the proportion 3 : 7. Each of them gave 2% of his share of the profit to the Soldiers\u2019 Welfare Fund. What was the actual amount given to the Fund by each of them?
Solution:<\/strong>
Proportion of share = 3:7
Let the profits of A and B be Rs 3x and Rs 7x respectively.
3x + 7x = 24500
\u2234 10x = 24500
\u2234 x=2450010=2450
Profit earned by A = 3x = 3 \u00d7 2450 = Rs 7350
Amount given by A = 2% of his profit
= 2100 \u00d7 7350 = Rs 147
Profit earned by B = 7x = 7 \u00d7 2450 = Rs 17150
Amount given by B = 2% of his profit
= 2100 \u00d7 17150 = Rs 343
\u2234 The amount given by A and B to the Soldiers\u2019 Welfare Fund are Rs 147 and Rs 343 respectively.<\/p>\n\n\n\n

Question 5.
Jaya, Seema, Nikhil and Neelesh put in altogether Rs 360000 to form a partnership, with their investments being in the proportion 3 : 4 : 7 : 6. What was Jaya\u2019s actual share in the capital? They made a profit of 12%. How much profit did Nikhil make?
Solution:<\/strong>
Total investment = Rs 360000
Profit earned = 12%
\u2234 Total profit = 12% of 360000
= 12100\u00d7360000 = Rs 43200
Proportion of investment = 3 : 4 : 7 : 6
Let the investment of Jaya, Seema, Nikhil and Neelesh be Rs 3x, Rs 4x, Rs 7x and Rs 6x respectively.
3x + 4x + 7x + 6x = 360000
\u2234 20x = 360000
\u2234 x=36000020
= 18000
\u2234 Jaya\u2019s investment = 3x = 3 x 18000 = Rs 54000
Also, profit made by them is Rs 43200
\u2234 3x + 4x + 7x + 6x = 43200
\u2234 20x = 43200
\u2234 x=4320020
= 2160
\u2234 Nikhil\u2019s profit = 7x = 7 x 2160 = Rs 15120
\u2234 Jaya\u2019s share in the capital was Rs 54000 and the profit made by Nikhil was Rs 15120.<\/p>\n\n\n\n

Intext Questions and Activities<\/strong><\/p>\n\n\n\n

Question 1.
Saritaben, Ayesha and Meenakshi started a business by investing Rs 2400, Rs 5200 and Rs 3400. They made a profit of 50%. If they reinvested all their profit by adding it to the capital, find out the proportions of their shares in the capital during the following year. (Textbook pg. no. 67)
Solution:<\/strong>
Total investment = Rs 2400 + Rs 5200 + Rs 3400 = Rs 11000
Total profit = 50% of 11000 = 50100\u00d711000 = Rs 5500
Proportion of shares = 2400 : 5200 : 3400
= 12 : 26 : 17 \u2026. (Dividingby 200)
Let the profit of Saritaben, Ayesha and Meenakshi be Rs 12x, Rs 26x and Rs 17x respectively.
12x + 26x + 17x = 5500
\u2234 55x = 5500
\u2234 x = 100
\u2234 Saritaben\u2019s profit = 12x = 12 \u00d7 100 = Rs 1200
Ayesha\u2019s profit = 26x = 26 \u00d7 100 = Rs 2600
Meenakshi\u2019s profit = 17x = 17 \u00d7 100 = Rs 1700
\u2234 Saritaben\u2019s new investment = 2400 + 1200 = Rs 3600
Ayesha\u2019s new investment = 5200 + 2600 = Rs 7800
Meenakshi\u2019s new investment = 3400 + 1700 = Rs 5100
\u2234 New proportion of shares = 3600 : 7800 : 5100
= 12 : 26 : 17 \u2026. (Dividing by 300)
\u2234 The proportion of the shares in the capital during the following year is 12 : 26 :17<\/p>\n\n\n\n

Question 2.
Are the amount of petrol filled in a motorcycle and the distance traveled by it, in direct proportion? (Textbook pg. no. 63)
Solution:<\/strong>
Yes.
If amount of petrol filled in the motorcycle is less, it will travel less distance and if the amount of petrol filled is more, it will travel more distance.
Hence, the amount of petrol filled in the motorcycle and the distance traveled by it are in direct proportion.<\/p>\n\n\n\n

Question 3.
Can you give examples from science or everyday life of quantities that vary in direct proportion? (Textbook pg. no. 63)
Solution:<\/strong><\/p>\n\n\n\n

  1. Number of chairs and the number of spectators.<\/li>
  2. Quantity (litres) of water and number of vessels required to store the water.<\/li><\/ol>\n\n\n\n

    Download PDF<\/strong><\/h2>\n\n\n\n

    Maharashtra Board Solutions Class 7-Maths (Practice Set 39): Chapter 9- Direct Proportion and Inverse Proportion<\/p>\n\n\n\n

    Download PDF<\/strong>: Maharashtra Board Solutions Class 7-Maths (Practice Set 39): Chapter 9- Direct Proportion and Inverse Proportion PDF<\/a><\/p>\n\n\n\n

    Chapterwise Maharashtra Board Solutions Class 7 Maths :<\/strong><\/h2>\n\n\n\n