(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

If a: b = 4: 7, find the following: 

`(5"a" + 2"b")/(5"a" - 2"b")`

If a : b = 4 : 7, find the following: 

`(6"a" - "b")/("a" + 3"b")`

If a: b = 4: 7, find the following: 

`(5"a" - 4"b")/(2"a" - 3"b")`

If m : n = 3 : 8, find the value of (3m+2n) : (5m+n)

A man's monthly inoome is Rs 5,000. He saves every month a minimum of R~ 800. Find the ratio of his: 

Annual expenses to annual Income. 

A man's monthly inoome is Rs 5,000. He saves every month a minimum of R~ 800. Find the ratio of his: 

monthly savings to monthly expenses. 

If a + b : a - b = 11 : 8 ; find the vaIue of a : b 

If p : q = 2 : 5 , q : r = 4 : 3, then find p : r 

If a : e = 5 : 12, e : i = 8 : 3 and i : u = 9 : 16, then find a : u 

Find the compounded ratio of the following: 

15: 16 and 8 : 5 

Find the compounded ratio of the following: 

(a² - b² ): (a² + b²) and (a⁴ - b⁴ ): (a+ b)⁴ 

Find the compounded ratio of the following: 

 3 : 5, 7 : 9 and 15 : 28 

Find the compounded ratio of the following: 

`sqrt 8 : 4 ,  3 : sqrt 5` and `sqrt 20 : sqrt 27`

Find the compounded ratio of the following: 

(m-n):(m+n), (m+n)² : (m²+n²) and (m⁴ - n⁴): (m²-n²) ² 

Find the duplicate ratio of the following : 

`sqrt 10 : sqrt 14`

Find the duplicate ratio of the following :

`3 sqrt (2"a")  :  2 sqrt (3"a")`

Find the duplicate ratio of the following : 

`2/3 : 4/9`

Find the duplicate ratio of the following :

(a+b): (a²- b²)  

Find the triplicate ratio of the following :

3 : 5

Find the triplicate ratio of the following :

`2 sqrt 5 : 5 sqrt 2`