Dear Friends,
As you all know that Time management is one of the most important tasks in all competitive examinations. We all struggle to attempt as many questions as possible in given time to have a niche over other competitors.
So, keeping in mind the needs of aspirants, Grade Up team has come up with an initiative called “Important Questions with Short Tricks” focusing on Maths section related to the exam. To make the chapter easy for you all, we are providing you all some Short Tricks to solve the questions in Quant Section. We hope you will like it. Feel free to share your feedback with us in the comment section.
Most Important Questions with Short Tricks on Ratio and Proportion For SSC Exams
Question 1: A : B : C is in the ratio of 3 : 2 : 5. Then how much money will C get out of Rs 500.
(1) Rs 200
(2) Rs 250
(3) Rs 300
(4) Rs 350
Solution:
Short Cut:
Question 2: The ratio of income of A and B is 3 : 2 and the ratio of their expenditure is 4 : 3 and their savings are Rs 2,000 and Rs 1,000. Find the income of A and B respectively.
(1)Rs 3000, Rs 4000
(2) Rs 4000, Rs 6000
(3) Rs 5000, Rs 6000
(4) Rs 6000, Rs 4000
Solution:
A : B
Income = 3(x) : 2(x)
Expenditure = 4 : 3
Income of A = 3x = 6000
Income of B = 4x = 4000
Question 3: A, B, C alone completed a piece of work in 30, 50 and 40 days. The ratio of the salary of each day is 4: 3 : 2 respectively. If the total income of A Rs 144, find total income of B.
(1) Rs 180
(2) Rs 185
(3) Rs 190
(4) Rs 195
Solution A B C
Days of working = 30 : 50 : 40
Each day salary = 4 : 3 : 2
Total income = 120 : 150 : 80
12 : 15 : 8
12 unit = 144
1 unit = 12
Income of B = 12 x 15 = 180
Question 4: A bag contains Rs 55 in the denominations of Rs 1, 50 paise and 25 paise coins. The coins re in the ratio 1 : 2 : 3. Find the number of 50 p coins.
(1) Rs 41
(2) Rs 42
(3) Rs 40
(4) Rs 38
Solution:
Re.1 50 P 25 P
Face Value = 1 : 50 : 25
No. of coins = 1 : 2 : 3
x : 2x : 3x
x = 20
50 paise coins = 2x = 40/-
Other method :
1 : 2/2 : 3/4
4 : 4 : 3 = 11
If 11 = 55
1 = 5
4 = 20
50p coins = 20 x 2 = 40
Question 5: Ratio of land and water on "earth is 1 : 2. In northern hemisphere, the ratio is 2 : 3. What is the ratio in Southern hemisphere.
(1) 2 : 11
(2) 4 : 11
(3) 3 : 11
(4) 5 : 11
Solution: Land : Water
on earth 1x5x2 : 2x5x2 = 3x5x2
North hemisph. 2x3 : 3x3 = 5x3
L : W
Earth 10 : 20 = 30
N.H.S. 6 : 9 = 15
S.H.S. 4 : 11 = 15
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