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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Our goal? To dispel any confusion and arm our readers with the clarity and knowledge needed to tackle ratio and proportion questions head-on. As we delve deeper into this article, you’ll discover an array of solved examples, and a revisit of previous year ratio and proportion questions, to fortify your understanding.
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260+ Most Asked Ratio And Proportion Questions
31. In an examination, the success to failure ratio was 5 : 2, if the number of failures been 14 more, then the success to failure ratio would have been 9 : 5. The total number of candidates, who appeared for the examination, was:
एक परीक्षा में, सफलता का विफलता से अनुपात 5 : 2 था, यदि विफलताओं की संख्या 14 अधिक होती, तो सफलता का विफलता से अनुपात 9 : 5 होता। परीक्षा में उपस्थित होने वाले छात्रों की कुल संख्या कितनी थी:
32. A businessman spends a part of his yearly income and saves a part of it. The ratio of his expenditure to his saving is 5 ∶ 3. If his monthly income is Rs. 40000, what is the amount of his yearly savings? (in Rs.)
एक व्यवसायी अपनी वार्षिक आय का एक हिस्सा व्यय करता है और एक हिस्सा बचत करता है। उसके व्यय का बचत से अनुपात 5 ∶ 3 है। यदि उसकी मासिक आय 40000 रुपये है, तो उसकी वार्षिक बचत की धनराशि क्या है? (रूपए में)
33. If Rs.11800 is divided among three friends A, B and C in such a way that 2A = 5B = 7C then find the share of A.
यदि 11800 रुपये तीन दोस्त A, B और C के बीच इस तरह से विभाजित किये जाते है कि 2A = 5B = 7C है, तो ज्ञात कीजिए कि A का हिस्सा कितना होगा?
34. If 4A = 6B = 5C; then find the value of A : B : C.
यदि 4A = 6B = 5C है; तो A : B : C का मान ज्ञात कीजिए।
35. If U + V = 80 and U : V = 5 : 3, then what is the value of U – V?
यदि U + V = 80 और U : V = 5 : 3 है, तो U – V का मान क्या है?
36. The ratio of monthly income of Ram and Rahim is 4 : 3 and the ratio of their monthly expenditures is 3 : 2. If each saves Rs. 5000 per month, then what are the respective monthly incomes of Ram and Rahim?
राम और रहीम के मासिक आय का अनुपात 4 : 3 है और उनके मासिक व्यय का अनुपात 3 : 2 है। यदि उनमें से प्रत्येक हर महीने 5000 रुपए की बचत करता है, तो राम और रहीम की मासिक आय क्रमशः क्या है?
37. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B’s share?
x = 1000.
B’s share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.38. An amount is divided between Ram and Rahim in the ratio of 3 : 2 If Ram’s share is Rs. 36000, then what is the total amount?
किसी राशि को राम और रहीम के बीच 3 : 2 के अनुपात में विभाजित किया जाता है। यदि राम का हिस्सा 36000 रु. है, तो कुल राशि क्या है?
39. If a sum of Rs. 1,180 is to be divided among A, B and C, such that 2 times A’s share, 5 times B’s share and 7 times C’s share, are equal, then A’s share is:
यदि 1,180 रुपए की एक राशि को A, B और C के बीच इस प्रकार विभाजित किया जाना है जिससे A के हिस्से का दोगुना, B के हिस्से का 5 गुना और C के हिस्से का 7 गुना बराबर हो, तो A का हिस्सा कितना है?
40. Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9.
उस गुणनखंड को ज्ञात कीजिये जिसका 1/27 के साथ वैसा ही अनुपात है जैसा 3/7 का 5/9 के साथ है।