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Syllabus

Q. By selling 45 lemons for Rs. 40, a man loses 20%. How many should he sell for Rs. 24 to gain 20% on the transaction?

Q. Rajni sold a pressure cooker at a loss of 8%. Had she bought it at 10% less and sold for Rs. 176 more, she would have gained 20%. Find the cost price of the pressure cooker.

Q. A man sold a toaster at a profit of 10%. Had he purchased it for 5% less and sold it for Rs. 56 more, he could have gained 25%. For how much did he buy it?

Q. A shopkeeper sells each of his goods at a gain of 22 1/2%. If on any day, his total sale was of Rs. 9,408, what was (i) the total cost of all the goods sold on that day (ii) his profit of that day.

L - 14

^{17}?45(x

^{4}- 3x^{3}- 28x^{2}) by 9x(x+4)Q. Factorise the following

1. 12x^{2} - x - 352. 10p^{2}q^{2}- 21pq + 91. 12x2 - x - 35 2. 10p2q2 - 21pq + 9^{2 please answer}1) ax + bcxy - az - bcz

2) z^2 - (x+5)z + 5x

4x^4+3x^2+1

Above sum

Q.8. $\left(x-k\right)$ is the HCF of ${x}^{2}+x-12and2{x}^{2}-kx-9$ then the value of k is

(A) 0

(B) - 3

(C) 3

(D) can't be determined

10. What is the factor of : ab(a-b)+bc(bc(b-c) +ca(c-a)

a. (a-b)(b-c)(c+a)

b. -(b+c)(c-a)(a-b)

c. (a-b)(a-c)(b-c)

d. - (a+b)(b+c)(a-c)

a^2 - 23a - 108

plz answer fast....

a^8+a^4b^4+b^8

x^{2}+ 8x+ 15) (x^{2}– 8x+ 15) as a difference of two squares.I am not able to break it as sum of two.

$1.{\left({x}^{2}-3x\right)}^{2}-{x}^{2}-3x-2\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}2.{x}^{2}+2xy+{y}^{2}-5x-5y+6\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}3.{x}^{2}+x-\left(a+1\right)\left(a+2\right)\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}4.{a}^{2}+2a-{p}^{2}+4p-3$

Factorise

(i) 3x^5-18x^4-48x^3

(ii) -2x^3+22x^2+24x

(a-5)whole square-36

9.Find the amount and the compound interest on Rs. 2000 at 10% p.a. for $2\frac{1}{2}$ years, compounded annually.Factorization

1). x^2(x+2y)+3(x+2y)

2). 2b(a+3b) -4c (a+3b)

^{2}b^{2}+ab-45$Factorise\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}1-2ab-\left({a}^{2}+{b}^{2}\right)$

1). a^2+ab+ac+bc

2). a^2-ac+ab-bc