Ratio And Proportion For SSC CGL Exam, Check All Details

Ratio And Proportion For SSC CGL Exam: The SSC CGL Exam consists of four sections: Quantitative Aptitude, English Language, Logical Reasoning, and General Awareness. In this blog, we are providing the Ratio and Proportion for SSC CGL Exam that belongs to Quantitative Aptitude including basic concepts, and questions along with the explained solutions. Candidates can expect at least 1-2 questions an easy to moderate level from ratio and proportion for SSC CGL Exam. It is an easy topic, one can prepare this topic easily by analyzing the question patterns asked in the exam. In this blog, we have provided the questions on Ratio and Proportion for SSC CGL Exam with the explanation.

Concept of Ratio And Proportion

Ratio and Proportion are two different words let’s understand them one by one:

Ratio: Ratio is a mathematical concept that can be explained as it is the comparison of two quantities of the same unit.

For Example: a and b are two values of the same unit, and b is not equal to zero. Then,

The ratio will be the quotient a/b. (a:b=>a/b)

The symbol we use for the ratio is (:) colon.

Proportion: It can be defined as it is the equation that explains the two given ratios are equivalent to each other.

Two proportionate ratios are always equal.

The symbol we use for the proportion is (::). (a/b=c/d or a:b::c:d)

Important Questions on Ratio and Proportion with Solutions

Above we have learned about the concept of ratio and proportion with formula. Now it’s time to solve the questions on ratio and proportion. In this blog, we have provided the different types of questions in Hindi and English language with explained solutions for the candidate’s convenience. Candidates are advised to first understand the basic concept and then come to the questions part.

Ratio and Proportion Questions in the English Language

Question 1: 84 is divided into two parts in such a way that (1/5)^th of the first and (1/6)^th of the second are in the ratio 3:1, respectively. Find the first part.

A) 60

B) 24

C) 50

D) 64

Question 2: The ratio of the number of red, blue and black pens in a shop is 6:5:8, respectively. If 33.33%, 20% and 25% of the respective pens remained unsold, then find the respective ratio of the number of pens sold.

A) 2:7:4

B) 2:2:3

C) 3:4:5

D) None of these

Question 3: In a bag there are coins of Rs. 1, Rs. 2, 25 paise and 50 paise in the ratio 4:2:5:3, respectively. If the total amount in the bag is Rs. 172. Find the difference between the number of Rs. 1 coins and 50 paise coins.

A) 16

B) 12

C) 18

D) 14

Question 4: The ratio of the number of boys and girls present on a certain day in a school is 5:4, respectively. The number of girls present in the school is 25% of the total number of students in the school. If the difference between the total number of students and number of boys present is 440, then find total number of students.

A) 560

B) 640

C) 480

D) 720

Question 5: Ratio of age of A and B after 18 years will be 8:9 respectively. Present age of B is 80% more than age of A ten years ago. Find the ratio of their age after 6 years.

A) 5:4

B) 6:5

C) 7:5

D) 6:7

Question 6: The ratio of number of followers of MS Dhoni on instagram and twitter was 17:12 respectively. If the number of followers on instagram and twitter were increased by 29 and 24 everyday and after 50 days the ratio changes to 4:3 then find the number of followers on twitter after 50 days.

A) 4000

B) 4500

C) 3000

D) 3500

Question 7: On Monday the ratio of number of males to number of females in a fun park was 13:12. Next day, the number of males was increased by 25% while females increased by 305. If total number of visitors of Tuesday is 2000, then find the ratio of number of males to females on Tuesday.

A) 39:41

B) 33:47

C) 37:33

D) 43:37

Question 8: The ratio of present age of A and B is 12:17 respectively. After 6 years, the ratio of their age becomes 14:19 respectively. Find the ratio of their age 6 years ago.

A) 2:3

B) 3:4

C) 4:5

D) 1:2

Question 9: When ‘x’ is added to each of 14, 21, 23 and 33 the numbers so obtained are in proportion. Find the mean proportional between (6x + 7) and (5x + 1).

A) 42.5

B) 42

C) 35

D) 37

Question 10: After 6 years, ratio of ages of ‘A’ and ‘B’ will be 2:3, respectively. If present age of ‘B’ is 6 years more than 137.5% of present age of ‘A’ then find the present age of B.

A) 24 years

B) 32 years

C) 39 years

D) 51 years

Ratio and Proportion Questions in the Hindi Language

प्रश्न 1: 84 को इस तरह से दो भागों में बांटा गया है कि पहले भाग का (1/5)^th और दुसरे भाग के (1/6)^th क्रमशः 3: 1 के अनुपात में हैं। पहला भाग ज्ञात करें?

A) 60

B) 24

C) 50

D) 64

प्रश्न 2: एक दुकान में red, blue और black pens की संख्या का अनुपात क्रमशः 6: 5: 8 है।यदि संबंधित pens में से क्रमशः 33.33%, 20% और 25% की बिक्री नहीं होती है, तो बेची गई pens की संख्या का संबंधित अनुपात ज्ञात करें?

A) 2:7:4

B) 2:2:3

C) 3:4:5

D) None of these

प्रश्न 3: एक बैग में क्रमशः 4: 2: 5: 3 के अनुपात में Rs. 1, Rs. 2, 25 paise और 50 paise के सिक्के हैं। यदि बैग में कुल राशि Rs. 172 है | Rs. 1 और 50 paise के सिक्के की संख्या के बीच का अंतर ज्ञात करें?

A) 16

B) 12

C) 18

D) 14

प्रश्न 4: एक स्कूल में एक निश्चित दिन पर उपस्थित लड़कों और लड़कियों की संख्या का अनुपात क्रमशः 5: 4 है।स्कूल में उपस्थित लड़कियों की संख्या स्कूल में कुल छात्रों की संख्या का 25% है।यदि छात्रों की कुल संख्या और उपस्थित लड़कों की संख्या के बीच का अंतर 440 है, तो छात्रों की कुल संख्या ज्ञात करें?

A) 560

B) 640

C) 480

D) 720

प्रश्न 5: 18 वर्ष के बाद A और B की आयु का अनुपात क्रमशः 8: 9 होगा।B की वर्तमान आयु दस वर्ष पहले A की आयु की तुलना में 80% अधिक है।6 वर्ष के बाद उनकी आयु का अनुपात ज्ञात करें?

A) 5:4

B) 6:5

C) 7:5

D) 6:7

प्रश्न 6: Instagram और twitter पर MS Dhoni के followers की संख्या का अनुपात क्रमशः 17:12 था। यदि Instagram और twitter पर उनके फॉलोअर्स की संख्या 29 और 24 रोज़ाना बढ़ती है और 50 दिनों के बाद यह अनुपात 4: 3 में बदल जाता है तो 50 दिनों के बाद twitter पर उनके followers की संख्या ज्ञात करें?

A) 4000

B) 4500

C) 3000

D) 3500

प्रश्न 7: Monday को एक fun park में पुरुषों की संख्या और महिलाओं की संख्या की संख्या का अनुपात 13:12 था। अगले दिन, पुरुषों की संख्या में 25% की वृद्धि हुई जबकि महिलाओं में 305 की वृद्धि हुई। यदि Tuesday को आगंतुकों की कुल संख्या 2000 है, तो Tuesday को पुरुषों और महिलाओं की संख्या का अनुपात ज्ञात करें?

A) 39:41

B) 33:47

C) 37:33

D) 43:37

प्रश्न 8: A और B की वर्तमान आयु का अनुपात क्रमशः 12:17 है। 6 वर्षों के बाद, उनकी आयु का अनुपात क्रमशः 14:19 हो जाता है। 6 वर्ष पहले उनकी आयु का अनुपात ज्ञात कीजिए।

A) 2:3

B) 3:4

C) 4:5

D) 1:2

प्रश्न 9: जब ‘x’ को 14, 21, 23 और 33 में से प्रत्येक में जोड़ा जाता है तो प्राप्त संख्याएँ अनुपात में होती हैं। (6x + 7) और (5x + 1)के बीच का मध्यानुपाती ज्ञात कीजिए।

A) 42.5

B) 42

C) 35

D) 37

प्रश्न 10: 6 वर्ष बाद, ‘A’ और ‘B’ की आयु का अनुपात क्रमशः 2: 3 होगा। यदि ’B’ की वर्तमान आयु ‘A’ की वर्तमान आयु के 137.5% से 6 वर्ष अधिक है तो B की वर्तमान आयु ज्ञात कीजिए।

A) 24 years

B) 32 years

C) 39 years

D) 51 years

ANSWER KEYS and SOLUTIONS:

Solutions of the Above Questions with Explanation

Solution 1: 1)

Let the first part = x

Second part = 84 – x

According to the question,

(x × 1/5):(84 – x)/6 = 3:1

x/5 = (84 – x)/6 × 3

2x = 420 – 5x

7x = 420

x = 60

First part = 60

Hence, option a.

Solution 2: 2)

Required ratio = {(2/3) × 6}:(0.8 × 5):(0.75 × 8) = 4:4:6 = 2:2:3

Hence, option b.

Solution 3: 1)

Let the number of coins of Rs. 1, Rs. 2, 25 paise and 50 paise be 4x, 2x, 5x and 3x respectively

According to the question,

4x + (2 × 2x) + (5x/4) + (3x/2) = 172

Or, 16x + 16x + 5x + 6x = 172 × 4

Or, x = (172 × 4)/43

Or, x = 16

Required difference = (4x – 3x) = x = 16

Hence, option a.

Solution 4: 2)

Let the number of boys and girls present in the school be 5x and 4x respectively

Therefore, total number of students = 4x/0.25 = 16x

According to the question,

16x – 5x = 440

Or, x = 440/11 = 40

Total number of students = 16x = 640

Hence, option b.

Solution 5: 4)

Let age of A and B after 18 years be 8x years and 9x years respectively.

According to question;

(9x – 18) = 1.8 × (8x – 28)

9x – 18 = 14.4x – 50.4

5.4x = 32.4

x = 6

Desired ratio = (8 × 6 – 12):(9 × 6 – 12) = 36:42 = 6:7

Hence, option d.

Solution 6: 3)

Let the number followers on instagram and twitter was 17x and 12x respectively.

According to question;

(17x + 29 × 50)/(12x + 24 × 50) = 4/3

(17x + 1450)/(4x + 400) = 4

17x + 1450 = 16x + 1600

x = 150

Desired number of followers on twitter after 50 days = 12 × 150 + 24 × 50 = 1800 + 1200 = 3000

Hence, option c.

Solution 7: 1)

Let number of males and females on Monday be 13x and 12x respectively.

According to question

1.25 × 13x + 12x + 305 = 2000

16.25x + 12x = 1695

28.25x = 1695

x = 60

Desired ratio = (1.25 × 13 × 60):(12 × 60 + 305) = 975:1025 = 39:41

Hence, option a.

Solution 8: 1)

Let present age of A and B be 12x years and 17x years respectively.

According to question;

(12x + 6)/(17x + 6) = 14/19

(6x + 3)/(17x + 6) = 7/19

114x + 57 = 119x + 42

5x = 15

x = 3

Desired ratio = (12 × 3 – 6):(17 × 3 – 6) = 30:45 = 2:3

Hence, option a.

Solution 9: 2)

According to question;

(14 + x)/(21 + x) = (23 + x)/(33 + x)

Or, x² + 47x + 462 = x² + 44x + 483

Or, 3x = 21

Or, x = 7

So, 6x + 7 = 6 × 7 + 7 = 49

And, 5x + 1 = 5 × 7 + 1 = 36

So, mean proportion = √(49 × 36) = 7 × 6 = 42

Hence, option b.

Solution 10: 3)

Let age of ‘A’ and ‘B’, after 6 years is ‘2x’ years and ‘3x’ years respectively.

According to the question;

3x – 6 = 6 + 1.375 × (2x – 6)

Or, 0.25x = 3.75

Or, x = 15

Present age of ‘B’ = 3 × 15 – 6 = 39 years

Hence, option c.

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