MATHS BY DHASU SIR

https://t.me/mathsbydhasusir

Mixture & Allegation

CLASS-11

(DHASU TRICKS)

Q1. How much water must be added to a container which contains 40 liters of milk at cost price Rs. 3.5 per liter so that cost of milk reduces

to Rs. 2 per liter 𝟒𝟎

𝐑𝐬. 𝟑.𝟓

𝐑𝐬.𝟐

(a) 𝟑𝟐 𝐥𝐢𝐭𝐞𝐫 (b) 𝟒𝟎 𝐥𝐢𝐭𝐞𝐫

(c) 𝟑𝟎 𝐥𝐢𝐭𝐞𝐫 (d) 𝟑𝟓 𝐥𝐢𝐭𝐞𝐫

Q2. A mixture of a certain quantity of milk with 16 litres of water is worth 90 Paise per litre. If pure milk be worth Rs. 1.80 per litre. How much milk is

there in the mixture? 𝟏𝟔

𝟗𝟎

𝐑𝐬. 𝟏.𝟖𝟎

(a) 𝟒𝟎 𝐥𝐢𝐭𝐞𝐫 (b) 𝟏𝟔 𝐥𝐢𝐭𝐞𝐫

(c) 𝟔𝟎 𝐥𝐢𝐭𝐞𝐫 (d) 𝟖𝟎 𝐥𝐢𝐭𝐞𝐫

Q3. Weight of two friends Ram and Shyam are in ratio of 4 : 5. If Ram’s weight increased by 10% then the weight of Ram and Shyam together becomes 82.8 kg with an increase of 15%. By what percent did the weight of Shyam’ s increased.

𝟒 :𝟓𝟏𝟎%

𝟏𝟓% 𝟖𝟐.𝟖

(a) 𝟐𝟎% (b) 𝟏𝟗% (c) 𝟐𝟗% (d) 𝟕.𝟓 % Q4. Three containers A, B and C contains mixture of water and alcohol and ratio of their capacity is 2 : 3 : 4. Every container contain water and alcohol

in new mixture.

𝑨, 𝑩 𝑪

𝟐 :𝟑 :𝟒

𝟏 :𝟓, 𝟑 :𝟓 𝟓 :𝟕

(a) 𝟐𝟓 :𝟓𝟔 (b) 𝟐𝟕 :𝟒𝟖

(c) 𝟐𝟗 :𝟒𝟕 (d) 𝟐𝟓 : 𝟒𝟕 Q5. An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and an other contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weight of both alloys are melted together to form a third alloy. Then the weight of lead per kg in the new alloy

will be.

𝟐 :𝟑 :𝟏

𝟓 :𝟒 :𝟑

(a) 𝟏

𝟐 𝐤𝐠 (b)

𝟏

𝟖 𝐤𝐠

(c) 𝟑

𝟏𝟒𝐤𝐠 (d)

𝟕

𝟗 𝐤𝐠

Q6. A 25 liter cylinder contain a mixture of oxygen and nitrogen. The volume of oxygen is 25% of total volume. A few liters of the mixture is replaced by an equal amount of nitrogen and the process is repeated once again so that the oxygen content become 9% of the told volume. How

many liter of mixture replaced each time? 𝟐𝟓

𝟐𝟓%

𝟗%

(a) 𝟓 𝐥𝐢𝐭𝐞𝐫𝐬 (b) 𝟏𝟎 𝐥𝐢𝐭𝐞𝐫𝐬

(c) 𝟏𝟐 𝐥𝐢𝐭𝐞𝐫𝐬 (d) 𝟕 𝐥𝐢𝐭𝐞𝐫𝐬

Q7. There are 81 liters pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the

ratio of milk to water in the new mixture? 𝟖𝟏

(a) 𝟏 :𝟐 (b) 𝟏 :𝟏

(c) 𝟐 :𝟏 (d) 𝟒 : 𝟓 Q8. A vessel contains 60 litre of milk. 12 litres of milk taken out from it and replaced by water. Then again from mixture, 12 litres are again taken out and replaced by water. The ratio of milk and water

in the resultant mixture is : 𝟔𝟎 𝟏𝟐

𝟏𝟐

(a) 𝟏𝟔 :𝟗 (b) 𝟏𝟓 :𝟏𝟎

(c) 𝟏𝟔 :𝟏𝟎 (d) 𝟗 :𝟓

Q9. Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get

a new mixture containing 𝟔𝟗𝟑

𝟏𝟑% milk is

𝑨 𝑩 𝟖 :𝟓

𝟓 :𝟐

𝟔𝟗𝟑

𝟏𝟑%

(a) 𝟑 :𝟓 (b) 𝟓 :𝟐

(c) 𝟓 :𝟕 (d) 𝟐 : 𝟕 Q10. A gold smith has two qualities of gold, one of 12 carates and another of 16 carates purity. In what proportions should we mix both to make an

ornament of 15 carats purity? 𝟏𝟐

𝟏𝟔𝟏𝟓

(a) 𝟏 :𝟑 (b) 𝟐 :𝟑

(c) 𝟏𝟐 :𝟕 (d) 𝟑 :𝟓

Q11. An alloy of silver and copper containing silver and copper in the ratio 7 : 3 and another alloy of silver and copper containing silver and copper in the ratio 5 : 1 respectively. In what ratio of quantity of both alloy should be mixed together so

that in 8 kg alloy silver will become 75%?

𝟕 :𝟑 𝟓 :𝟏

𝟖 𝟕𝟓%

(a) 𝟐 :𝟒 (b) 𝟑 :𝟓

(c) 𝟓 :𝟑 (d) 𝟒 : 𝟐