Mixtures and Alligation

Each question below contains a statement followed by Quantity I and Quantity II. Find the value of both to find the relationship among them. नीचे दिए गए प्रत्येक प्रश्न में एक कथन के पश्चात मात्रा I और मात्रा II दी गयी है। उनके बीच संबंध ज्ञात करने के लिए दोनों का मान ज्ञात कीजिये। The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. Both Type 1 and Type 2 are mixed in the ratio of 2 : 3. Quantity I: what is the price per kg of the mixed variety of material? Quantity II:What is the price per kg of the mixed variety of material if both Type 1 and Type 2 are mixed in the ratio of 3 : 2? प्रकार 1 सामग्री की लागत 15 रुपये प्रति किलो है और प्रकार 2 सामग्री की लागत 20 रुपये प्रति किलो है। प्रकार 1 और प्रकार 2 को 2: 3 के अनुपात में मिलाया गया। मात्रा I: मिश्रित सामग्री का प्रति किलोग्राम मूल्य क्या है? मात्रा II: मिश्रित विविधता के प्रति किलोग्राम मूल्य क्या है यदि प्रकार 1 और प्रकार 2 दोनों को 3: 2 के अनुपात में मिलाया जाय?

Each of these questions consists of a question followed by informations in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question. A milkman sells a homogeneous mixture of water and milk at a rate of Rs.40 per liter. Find the profit percentage of the milkman. Statement I: He bought milk at the rate of Rs.35 per liter. Statement II: He bought water at Rs.10 lower than the rate of milk per liter. Statement III: He sold total 80 litre mixture. नीचे प्रत्येक प्रश्न में, एक प्रश्न और उसके बाद तीन कथनों में जानकारी दी गई है। आप प्रश्नो और कथनों का अध्ययन कीजिए और यह तय कीजिये कि कौनसा/से कथनों में दी गई जानकारी प्रश्न का उत्तर देने के लिए आवश्यक है/हैं। एक दूधवाला पानी और दूध के मिश्रण को 40 रुपये प्रति लीटर की दर से बेचता है। दूधवाले का लाभ प्रतिशत ज्ञात कीजिये। कथन I: उसने दूध 35 रुपये प्रति लीटर की दर से ख़रीदा। कथन II: उसने पानी को दूध से 10 रुपये प्रति लीटर कम दर से खरीदा। कथन III: उसने कुल 80 लीटर मिश्रण बेचा।

In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between two quantities and choose the appropriate option: Quantity I: A vessel contains 24 litres of a mixture of milk and water, the quantity of milk was 64% of total mixture. A few litres of mixture was taken out and replaced by same amount of water. This process is repeated two more times and quantity of milk becomes 27 % only. How many litres of mixture is taken out every time? Quantity II: A vessel contains 36 liters of mixture of milk and water in the ratio 4:5. What amount of milk mixed into the vessel so that ratio of milk and water becomes 5:4?

In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between two quantities and choose the appropriate option: Quantity I: A shopkeeper mixes two varieties of rice, one at the rate of Rs 12/kg and the other at Rs 28/kg in the ratio of a:b and sells the mixture at Rs 30/kg thereby gaining 66.66% on the transaction. But if he mixes them in the ratio of b:a and sells the mixture at the same price of Rs 30/kg, then what would be his gain%? Quantity II: A shopkeeper mixes two varieties of rice, one at the rate of Rs 12/kg and the other at Rs 28/kg in the ratio 2:3. If he sold the mixture at Rs 27/kg, then his profit percentage is:

In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between two quantities and choose the appropriate option: ‘a’ liter of mixture A, contains milk and water in ratio 2 : 3, are mixed in mixture B, contains water and milk in 3 : 1 ratio, then ratio of milk and water becomes 41 : 99 and when ‘a’ liter of mixture B mixed in mixture A then ratio of milk and water become 7 : 13. Total mixture of B is 20 liter more than that of mixture A. (i) Quantity I: Initial quantity of milk in mixture A. (ii) Quantity II: Initial quantity of milk in mixture B.

A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was: एक घड़ा शहद से भरा हुआ था। एक व्यक्ति जार से 20% शहद निकालता था और उसे चीनी के घोल से बदल देता था। इसी प्रक्रिया को उसने 4 बार दोहराया है और इस प्रकार जार में केवल 512 ग्राम शहद बचा था, जार का शेष भाग चीनी के घोल से भर गया था। जार में शहद की प्रारंभिक मात्रा थी:

A milkman uses three containers for selling milk, their capacities being 40L, 30L and 20L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3:2, 5:1 and 7:2 respectively. What is the ratio of total quantity of milk to that of water carried by him ? एक दूधवाला दूध बेचने के लिए तीन कंटेनरों का उपयोग करता है, उनकी क्षमता क्रमशः 40L, 30L और 20L है। वह क्रमशः 87.5%, 80% और 90% कंटेनरों को दूध और पानी के मिश्रण से क्रमशः 3:2, 5:1 और 7:2 के अनुपात में भरता है। उसके द्वारा ढोए गए पानी से दूध की कुल मात्रा का अनुपात कितना है?

From the 50 litre of milk, 5 litres of milk is taken out and after it 5 litres of water is added to the rest amount of milk. Again 5 litres of mixture of milk and water is drawn out and it was replaced by 5 litres of water. If this process is continued similarly for the third time, the amount of milk left after the third replacement: 50 लीटर दूध में से 5 लीटर दूध निकाल लिया जाता है और उसके बाद शेष दूध में 5 लीटर पानी मिला दिया जाता है। फिर से 5 लीटर दूध और पानी का मिश्रण निकाला जाता है और इसे 5 लीटर पानी से बदल दिया जाता है। यदि इस प्रक्रिया को तीसरी बार इसी तरह जारी रखा जाता है, तो तीसरे प्रतिस्थापन के बाद शेष दूध की मात्रा:

In a mixture of three varieties of pulses , the ratio of their weight is 4 : 5 : 8. If 5 kg of the first variety, 10 kg of the second variety and some quantity of the third variety are added to the mixture, the ratio of the weights of three varieties of pulses becomes as 5 : 7 : 9 . In the final mixture, find the quantity of third variety of pulses ? तीन प्रकार की दाले जिनके भारो का अनुपात 4 : 5 : 8. यदि 5 किलोग्राम पहली प्रकार की दाल , 10 किलोग्राम दूसरी प्रकार की दाल और तीसरे प्रकार दाल की कुछ मात्रा मिश्रण में मिलाई जाती है तो दाल के तीनो प्रकार के भार का अनुपात 5 : 7 : 9 . हो जाता है| नए मिश्रण में तीसरे प्रकार की दाल की मात्रा ज्ञात कीजिये?

There were 120 litres of pure milk in a vessel. Some quantity of milk was taken out and replaced with 23 litres of water. thus the resultant ratio of the quantity of milk to water is 4:1. Again 23 litres of the mixture was taken out and replaced with 28 litre of water. What is the ratio of the milk to water in the resultant mixture? एक बर्तन में 120 लीटर दूध है | दूध की कुछ मात्रा निकाली जाती है और 23 लीटर पानी को मिलाया जाता है इस तरह दूध और पानी का अनुपात 4 : 1 हो जाता है |पुनः 23 लीटर मिश्रण निकाला जाता है और 28 लीटर पानी मिलाया जाता है |परिणामी मिश्रण में दूध और पानी का अनुपात क्या है ?

A mixture of two miscible liquids $A$ and $B$ is distilled under equilibrium conditions at $1$ atm pressure. The mole fraction of $A$ in solution and vapour phase are $0.30$ and $0.60$ respectively. Assuming ideal behaviour of the solution and the vapour, calculate the ratio of the vapour pressure of pure $A$ to that of pure $B$.