3
Q:

# The ratio of students in a coaching preparing for B.tech and MBA is 4 : 5. The ratio of fees collected from each of B.tech and MBA students is 25 : 16. If the total amount collected from all the students is 1.62 lakh, what is the total amount collected from omly MBA aspirants?

 A) Rs. 62,000 B) Rs. 72,000 C) Rs. 82,000 D) None of these

Explanation:

The ratio of fees collected from B.Tech : MBA = $\fn_jvn&space;4x\times&space;25y:5x\times&space;16y$

= 100xy : 80xy

= 5xy : 4 xy  = 5k : 4k

The amount collected only from MBA students = $\fn_jvn&space;\frac{4}{9}\times&space;1.62&space;lakh$ =Rs. 72,000

Q:

If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ?

 A) 18 : 24 : 11 B) 9 : 15 : 1 C) 20 : 15 : 9 D) 21 : 7 : 3

Explanation:

Given k : l = 4 : 3
l : m = 5 : 3

Then k : l : m = 20 : 15 : 9

1 62
Q:

A sum is divided among K, L and M in such a way that for each rupee K gets, L gets 45 paisa and M gets 30 paisa. If the share of L is Rs. 27,  what is the total amount  ?

 A) Rs. 159 B) Rs. 96 C) Rs. 147 D) Rs. 105

Explanation:

K : L : M = 100 : 45 : 30
= 20 : 9 : 6

Given L share is 27

=> 9  ------  27
35 ------  ?

=> 105

2 115
Q:

The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of ?

 A) 4:5 B) 6:5 C) 3:2 D) 1:3

Explanation:

4:5
3:2
-------
=> 12:15:10

12:10

=> 6:5

3 167
Q:

What is the equivalent compound ratio of 5:6::7:10::6:5  ?

 A) 7 : 9 B) 9 : 7 C) 7 : 4 D) 7 : 10

Explanation:

Given 5:6 :: 7:10 :: 6:5

We know that compound ratio is calculated as
a:b :: c:d :: e:f
(axcxe):(bxdxf)

=> (5x7x6):(6x10x5)
=> (210):(300)
= 7:10

4 112
Q:

The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes  ?

 A) 200, 400 B) 100, 300 C) 100, 200 D) 150, 200

Explanation:

The incomes of A and B be 3P and 4P.

Expenditures = Income - Savings

(3P - 100) and (4P - 100)

The ratio of their expenditure = 1:2

(3P - 100):(4P - 100) = 1:2

2P = 100 => P = 50

Their incomes = 150, 200