# NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7

NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7 Integrals in English Medium as well as हिंदी मीडियम free to download in PDF or view online. Download NCERT Solutions Apps based on Latest NCERT Solutions for 2019-2020.

 Class 12: Maths – गणित Chapter 7: Integrals Exercise 7.7

## NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7

### 12 Maths Exercise 7.7 Solutions

#### NCERT Solutions for Class 12 Maths Exercise 7.7 in English

NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7 Integrals in English Medium is given below. Visit to हिंदी मीडियम or Class 12 Maths Chapter 7 main page or Top of the page.

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##### NCERT Solutions for Class 12 Maths Exercise 7.7 in Hindi

NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7 Integrals in Hindi Medium is given below. Visit to English Medium or Class 12 Maths Chapter 7 main page or Top of the page.

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###### Questions for Practice
1.  A company manufactures two types of lamps say A and B. Both lamps go through a cutter and then a finisher. Lamp A requires 2 hours of the cutter’s time and 1 hours of the finisher’s time. Lamp B requires 1 hour of cutter’s and 2 hours of finisher’s time. The cutter has 100 hours and finisher has 80 hours of time available each month. Profit on one lamp A is ₹ 7.00 and on one lamp B is ₹ 13.00. Assuming that he can sell all that he produces, how many of each type of lamps should be manufactured to obtain maximum profit?
2. A man has ₹ 1500 to purchase two types of shares of two different companies S1 and S2. Market price of one share of S1is ₹ 180 and S2 is ₹120. He wishes to purchase a maximum of ten shares only. If one share of type S1 gives a yield of ₹ 11 and of type S2 yields ₹ 8 then how much shares of each type must be purchased to get maximum profit? And what will be the maximum profit?
3. A dealer wishes to purchase a number of fans and sewing machines. He has only ₹ 5760 to invest and has space for atmost 20 items. A fan and sewing machine cost ₹ 360 and ₹ 240 respectively. He can sell a fan at a profit of ₹ 22 and sewing machine at a profit of ₹ 18. Assuming that he can sell whatever he buys, how should he invest his money to maximise his profit?

###### Important Question
• There are two types of fertilisers A and B. A consists of 10% nitrogen and 6% phosphoric acid and B consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that he needs at least 14 kg of nitrogen and 14 kg of phosphoric acid for his crop. If A costs ₹ 6 per kg and B costs ₹ 5 per kg, determine how much of each type of fertiliser should be used so that nutrient requirements are met at minimum cost. What is the minimum cost? What values are being promoted here?