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Question 1.If Rihanna deposits Rs 1500 in the school fund at 9 p.c.p.a for 2 years, what is the total amount she will get?Solution:Here, P = Rs 1500, R = 9 p.c.p.a , T = 2 years = 1500 x 9 x 2= Rs 270∴ Total amount = Principal + Interest= 1500 + 270= Rs … Read more

Question 3.Shweta, Piyush and Nachiket together invested Rs 80000 and started a business of selling sheets and towels from Solapur. Shweta’s share of the capital was Rs 30000 and Piyush’s Rs 12000. At the end of the year they had made a profit of 24%. What was Nachiket’s investment and what was his share of … Read more

Question 1.Five workers take 12 days to weed a field. How many days would 6 workers take? How many would 15 take?Solution:Let 6 workers take x days and 15 workers take y days to weed the field.The number of workers and the time required to weed the field are in inverse proportion.∴ 6 × x … Read more

Question 1.If 7 kg onions cost Rs 140, how much must we pay for 12 kg onions?Solution:Let the cost of 12 kg onions be Rs x.The quantity of onions and their cost are in direct proportion. = 240We must pay Rs 240 for 12 kg onions. Question 2.If Rs 600 buy 15 bunches of feed, … Read more

Question 1.Simplify (3x – 11y) – (17x + 13y) and choose the right answer.(A) 7x – 12y(B) -14x – 54y(C) -3(5x + 4y)(D) -2(7x + 12y)Solution:(D) -2(7x + 12y) Hints:(3x – 11y) – (17x + 13y) = 3x – 11y – 17x – 13y= – 14x – 24y= – 2 × 7x – 2 × … Read more

Question 1.Multiply:i. 16xy × 18xyii. 23xy² × 4yz²iii. (12a + 17b) × 4civ. (4x + 5y) × (9x + 7y)Solution:i. 16xy × 18xy= 16 × 18 × xy × xy= 288x²y² ii. 23xy² × 4yz²= 23 × 4 × xy² × yz²= 92xy³z² iii. (12a + 17b) × 4c = 12a × 4c + 17b … Read more

Question 1.Subtract the second expression from the first.i. (4xy – 9z); (3xy – 16z)ii. (5x + 4y + 7z); (x + 2y + 3z)iii. (14x² + 8xy + 3y²); (26x² – 8xy – 17y²)iv. (6x² + 7xy + 16y²); (16x² – 17xy)v. (4x + 16z); (19y – 14z + 16x)Solution:i. (4xy – 9z) – (3xy … Read more

Chapter 8 Algebraic Expressions and Operations on Them Set 8.2 Question 1.Add:i. 9p + 16q; 13p + 2qii. 2a + 6b + 8c; 16a + 13c + 18biii. 13x² – 12y²; 6x² – 8y²iv. 17a²b² + 16c; 28c – 28a²b²v. 3y² – 10y + 16; 2y – 7vi. – 3y² + 10y – 16; 7y² … Read more

Chapter 8 Algebraic Expressions and Operations on them Set 8.1 Question 1.Classify the following algebraic expressions as monomials, binomials, trinomials or polynomials.i. 7xii. 5y – 7ziii. 3x³ – 5x² – 11iv. 1 – 8a – 7a² – 7a³v. 5m – 3vi. avii. 4viii. 3y² – 7y + 5Solution:i. Monomialii. Binomialiii. Trinomialiv. Polynomialv. Binomialvi. Monomialvii. Monomialviii. … Read more

Question 1.The number of saplings planted by schools on World Tree Day is given in the table below. Draw a joint bar graph to show these figures. School Name\Name of Sapling Almond Karanj Neem Ashok Gulmohar Nutan Vidyalaya 40 60 72 15 42 Bharat Vidyalaya 42 38 60 25 40 Solution: Question 2.The table below … Read more