Secondary School (English Medium) (5 to 8) कक्षा ८ - CBSE Question Bank Solutions for Mathematics

Factorize each of the following quadratic polynomials by using the method of  completing the square:
p² + 6p + 8

Factorize each of the following quadratic polynomials by using the method of completing the square:
4y² + 12y + 5

Factorize each of the following quadratic polynomials by using the method of completing the square:
p² + 6p − 16

Factorize each of the following quadratic polynomials by using the method of completing the square:
x² + 12x + 20

Factorize each of the following quadratic polynomials by using the method of completing the square:
a² − 14a − 51

Factorize each of the following quadratic polynomials by using the method of completing the square:
a² + 2a − 3

Factorize each of the following quadratic polynomials by using the method of completing the square:
z² − 4z − 12

A student buys a pen for Rs 90 and sells it for Rs 100. Find his gain and gain percent.

A boy buys 9 apples for Rs 9.60 and sells them at 11 for Rs 12. Find his gain or loss percent.

The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.

A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. If he sells the radio for Rs 300, determine his profit percent.

A retailer buys a cooler for Rs 1200 and overhead expenses on it are Rs 40. If he sells the cooler for Rs 1550, determine his profit percent.

A dealer buys a wristwatch for Rs 225 and spends Rs 15 on its repairs. If he sells the same for Rs 300, find his profit percent.

Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.

If the selling price of 10 pens is equal to cost price of 14 pens, find the gain percent.

If the cost price of 18 chairs be equal to selling price of 16 chairs, find the gain or loss percent.