260+ Most Asked Ratio And Proportion Questions [100% Free ]

Navigating the landscape of mathematics, one often comes across the fundamental concepts of “ratio and proportion questions“. Grasping the understanding of these is crucial, as ratio and proportion are woven deeply into the fabric of our daily activities, from intricate business dealings to the simplicity of preparing a home-cooked meal. When you see fractions presented in the form ‘a:b’, you’re observing a ratio. Conversely, when two such ratios equate, they form a proportion. And these concepts aren’t just restricted to math; they find resonance in science too.

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260+ Most Asked Ratio And Proportion Questions

141. 350 toffees are to be distributed among a group of 40 students and the ratio of boys and girl is 5:3. If each boy gets 8 toffees and the remaining toffees are divided among girls, find the number of toffees got by each girl.

350 टॉफियों को 40 छात्रों के समूह के बीच वितरित किया जाना है और लड़के और लड़की का अनुपात 5:3 है। यदि प्रत्येक लड़के को 8 टॉफियां मिलती हैं और शेष टॉफियों को लड़कियों में विभाजित किया जाता है, तो प्रत्येक लड़की को प्राप्त टॉफियों की संख्या ज्ञात कीजिए।

a) 6
b) 9
c) 15
d) 10
e) None of these

Option “D” is correct.

Number of boys = 40 * 5/8 = 25

Number of girls = 40 * 3/8 = 15

Total number of toffees received by boys = 25 * 8 = 200

Remaining toffees = 150

Number of toffees received by each girl = 150/15 = 10

142. The total number of students who are attending an exam is 50 and the ratio of the number of students who passed and failed is 7:3 and the ratio of the number of males and females who passed the exam is 3:2. Find the total number of female students, if the number of males who failed the exam is 7.

एक परीक्षा में भाग लेने वाले छात्रों की कुल संख्या 50 है और उत्तीर्ण और अनुत्तीर्ण छात्रों की संख्या का अनुपात 7:3 है और परीक्षा में उत्तीर्ण होने वाले पुरुषों और महिलाओं की संख्या का अनुपात 3:2 है। महिला छात्रों की कुल संख्या ज्ञात कीजिए, यदि परीक्षा में अनुत्तीर्ण होने वाले पुरुषों की संख्या 7 है।

a) 28
b) 21
c) 22
d) 15
e) None of these

Option “C” is correct.

Number of students who passed the exam = 50 * 7/10 = 35

Number of students who failed the exam = 50 – 35 = 15

Number of male students who passed the exam = 35 * 3/5 = 21

Number of female students who passed the exam = 35 – 21 = 14

Number of female students who failed the exam = 15 – 7 = 8

Total number of female students = 14 + 8 = 22

143. Ratio of the total population of cities L and M is 6:5 and the ratio of the literate population of cities L and M is 5:4. If the illiterate population of city L is 8/15th of the total illiterate population of cities L and M together is 75, then find the total population of city L?

शहरों L और M की कुल जनसंख्या का अनुपात 6:5 है और शहरों L और M की साक्षर जनसंख्या का अनुपात 5:4 है। यदि शहर L की निरक्षर जनसंख्या शहरों L और M की कुल निरक्षर जनसंख्या का 8/15 है, जो कि 75 है, तो शहर L की कुल जनसंख्या ज्ञात कीजिए?

a) 84
b) 72
c) 66
d) 90
e) None of these

Option “D” is correct.

The total population of city L = 6x

The total population of city M = 5x

The literate population of city L = 5y

The literate population of city M = 4y

The illiterate population of city L = 75 * 8/15 = 40

The illiterate population of city M = 75 – 40 = 35

6x – 5y = 40 — (1)

5x – 4y = 35 — (2)

(2) * 5 – (1) * 4

25x – 20y = 175

-24x + 20y = 160

x = 15

The total population of city L = 6 * 15 = 90

144. Ratio of the number of male and female employees in a company is 5:3. If the number of male and female employees in the company is increased by 18 and 9 respectively and the ratio of the number of males and females becomes 7:4, then find the total number of employees in the company initially?

एक कंपनी में पुरुष और महिला कर्मचारियों की संख्या का अनुपात 5:3 है। यदि कंपनी में पुरुष और महिला कर्मचारियों की संख्या में क्रमशः 18 और 9 की वृद्धि की जाती है और पुरुषों और महिलाओं की संख्या का अनुपात 7:4 हो जाता है, तो शुरू में कंपनी में कर्मचारियों की कुल संख्या ज्ञात कीजिए?

a) 72
b) 40
c) 56
d) 62
e) None of these

Option “A” is correct.

Let the number of male employees in the company = 5x

And the number of female employees in the company = 3x

(5x + 18)/(3x + 9) = 7/4

20x + 72 = 21x + 63

x = 9

The total number of employees in the company = (5 + 3) * 9 = 72

145. If n chocolates are distributed among Mani, Kavi, and Kani in the ratio of 4:7:6 respectively and the difference between the number of chocolates got by Mani and Kavi is 150, then find the value of n?

यदि मणि, कवि, और कानी के बीच क्रमशः 4:7:6 के अनुपात में n चॉकलेट वितरित की जाती हैं और मणि और कवि द्वारा प्राप्त चॉकलेट की संख्या के बीच का अंतर 150 है, तो n का मान ज्ञात कीजिए?

a) 680
b) 850
c) 510
d) 340
e) None of these

Option “B” is correct.

The number of chocolates gets by Mani = 4x

The number of chocolates gets by Kavi = 7x

7x – 4x = 150

3x = 150

x = 50

Required value = 50 * (4+7+6) = 850

146. A bag contains 20 paise, 50 paise and 1 rupee coins. The ratio of the number of 20 paise and 50 paise coins in the bag is 4:3 and the ratio of the number of 50 paise and 1 rupee coins in the bag is 1:2. If the total amount in the bag is Rs.166, then find the number of 50 paise coins in the bag?

एक बैग में 20 पैसे, 50 पैसे और 1 रुपये के सिक्के हैं। बैग में 20 पैसे और 50 पैसे के सिक्कों की संख्या का अनुपात 4:3 है और बैग में 50 पैसे और 1 रुपये के सिक्कों की संख्या का अनुपात 1:2 है। यदि बैग में कुल राशि 166 रुपये है, तो बैग में 50 पैसे के सिक्कों की संख्या ज्ञात कीजिए?

a) 30
b) 50
c) 40
d) 60
e) None of these

Option “D” is correct.

The number of 20 paise coins in the bag = 4x

The number of 50 paise coins in the bag = 3x

The number of 1 rupee coins in the bag = 3x * 2/1 = 6x

4x * 20 + 3x * 50 + 6x * 100 = 166 * 100

830x = 16600

x = 20

The number of 50 paise coins in the bag = 3 * 20 = 60

147. Ratio of the two numbers A and B is 7:4 and the product of these two numbers A and B is 700. Find the ratio of the two numbers A and B, if 20 is added to each number?

दो संख्याओं A और B का अनुपात 7:4 है और इन दो संख्याओं A और B का गुणनफल 700 है। दो संख्याओं A और B का अनुपात ज्ञात कीजिए, यदि प्रत्येक संख्या में 20 जोड़ दिया जाए?

a) 8:7
b) 9:5
c) 11:8
d) 5:3
e) None of these

Option “C” is correct.

Let the number A = 7x

And the number B = 4x

7x * 4x = 700

x2 = 25

x = 5

The number A = 7 * 5 = 35

The number B = 4 * 5 = 20

Required ratio = (35 + 20) : (20+20) = 55:40 = 11:8

148. Ratio of the number of boys and girls in school A is 12:5 and the number of boys and girls in school B is 25% less and 20% more than that of school A. Find the ratio of the number of boys and girls in school B?

स्कूल A में लड़कों और लड़कियों की संख्या का अनुपात 12:5 है और स्कूल B में लड़कों और लड़कियों की संख्या स्कूल A से 25% कम और 20% अधिक है। स्कूल B में लड़कों और लड़कियों की संख्या का अनुपात ज्ञात कीजिए ?

a) 3:2
b) 5:7
c) 6:1
d) 9:8
e) None of these

Option “A” is correct.

The number of boys in school A = 12x

The number of girls in school A = 5x

The number of boys in school B = 12x * 75/100 = 9x

The number of girls in school B = 5x * 120/100 = 6x

Required ratio = 9x:6x = 3:2

149. Ratio of the monthly income of Manoj and Bala is 7:5 and the monthly income of Bala and Dinesh is 6:7. If the monthly income of Manoj is Rs.8400, then find the sum of the monthly income of Manoj, Bala and Dinesh together?

मनोज और बाला की मासिक आय का अनुपात 7:5 है और बाला और दिनेश की मासिक आय का अनुपात 6:7 है। यदि मनोज की मासिक आय 8400 रुपये है, तो एकसाथ मनोज, बाला और दिनेश की मासिक आय का योग ज्ञात कीजिए?

a) Rs.14400
b) Rs.21400
c) Rs.19600
d) Rs.20400
e) None of these

Option “B” is correct.

The monthly income of Manoj = Rs.8400

The monthly income of Bala = 8400 * 5/7 = Rs.6000

The monthly income of Dinesh = 6000 * 7/6 = Rs.7000

The sum of the monthly income of Manoj, Bala and Dinesh = 8400 + 6000 + 7000 = Rs.21400

150. In a shop, there are 320 balls which have three different colours yellow, green and blue. Ratio of the number of yellow and green balls in the shop is 3:4 and the number of yellow balls in the shop is three times the number of blue balls in the same shop, then find the number of blue balls in the shop?

एक दुकान में, 320 गेंदें हैं जिनमें तीन अलग-अलग रंग पीला, हरा और नीला है। दुकान में पीली और हरी गेंदों की संख्या का अनुपात 3:4 है और दुकान में पीली गेंदों की संख्या उसी दुकान में नीली गेंदों की संख्या का तीन गुना है, तो दुकान में नीली गेंदों की संख्या ज्ञात कीजिए?

a) 30
b) 60
c) 40
d) 20
e) None of these

Option “C” is correct.

The number of yellow balls in the shop = 3x

The number of green balls in the shop = 4x

The number of blue balls in the shop = 3x * 1/3 = 1x

1x + 3x + 4x = 320

8x = 320

x = 40

The number of blue balls in the shop = 40