111. Vessel A contains 70 liters mixture of milk and water in the ratio of 4:1 and vessel B contains 90 liters mixture of milk and water in the ratio of 5:4. If both mixtures are mixed, then what is the approximate percentage of the milk in the final mixture?

बर्तन A में 70 लीटर दूध और पानी का मिश्रण 4: 1 के अनुपात में होता है और बर्तन B में 90 लीटर दूध में 5:4 के अनुपात में दूध और पानी का मिश्रण होता है। यदि दोनों मिश्रण को मिलाया जाता हैं, तो अंतिम मिश्रण में दूध का अनुमानित प्रतिशत क्या है?

A. 72.67%
B. 66.25%
C. 59.50%
D. 48.72%
E. None of these

Option “B” is correct.

Milk in vessel A = 70 * 4/5 = 56 liters

Milk in vessel B = 90 * 5/9 = 50 liters

Required percentage = [(56 + 50)/(70 + 90)] *100

= 66.25%

112. Two mixtures A and B and mixture A contains 40% of water and B contains 55% of water. If 80 liters of mixture A is mixed with 120 liters of mixture B, then find the percentage of water in the final mixture?

दो मिश्रण A और B हैं और मिश्रण A में 40% पानी और B में 55% पानी है। यदि मिश्रण A से 80 लीटर मिश्रण B के 120 लीटर के साथ मिलाया जाता है, तो अंतिम मिश्रण में पानी का प्रतिशत ज्ञात करें?

A. 44%
B. 45%
C. 47%
D. 49%
E. 43%

Option “D” is correct.

Water in A = 40/100 * 80 = 32

Water in B = 55/100 * 120 = 66

Required percentage = (32 + 66)/(120 + 80) * 100

= (98/200) * 100

= 49%

113. Two alloys contain 45% and 30% of bronze in it respectively. If 36 gram of first type alloy is mixed with 20 gram of second type alloy then find the percentage of bronze in the resulting mixture?

दो मिश्र धातुओं में क्रमशः 45% और 30% कांस्य होता है। यदि 36 ग्राम पहले प्रकार के मिश्र धातु को 20 ग्राम दूसरे प्रकार के मिश्र धातु के साथ मिलाया जाता है तो परिणामी मिश्रण में कांस्य का प्रतिशत ज्ञात कीजिये?

A. 33.45%
B. 35.87%
C. 37.16%
D. 39.64%
E. 40.91%

Option “D” is correct.

Quantity of bronze in first type of alloy = 45/100 * 36 = 16.2 gram

Quantity of bronze in second type of alloy = 30/100 * 20 = 6 gram

Required percentage = (16.2 + 6)/(36 + 20) * 100

= 39.64%

114. A vessel contains 300 liters of mixture of milk and water in the ratio of 7:3. If one-sixth of the mixture is taken out and replaced by milk and 75 liters of water is added to the mixture, then the quantity of milk in the resultant mixture is what percentage more than that of water?

एक बर्तन में 300 लीटर दूध और पानी का मिश्रण 7:3 के अनुपात में है। यदि मिश्रण का छठा भाग निकाल कर उसके स्थान पर दूध डाल दिया जाता है और मिश्रण में 75 लीटर पानी मिला दिया जाता है, तो परिणामी मिश्रण में दूध की मात्रा पानी से कितने प्रतिशत अधिक है?

A. 40%
B. 60%
C. 75%
D. 50%
E. None of these

Option “D” is correct.

1/6th of the quantity of mixture in the vessel initially = 300/6 = 50 liters

The initial quantity of milk in the vessel = 300 * 7/(7 + 3) = 300 * 7/10 = 210 liters

The initial quantity of water in the vessel = 300 – 210 = 90 liters

The quantity of milk in the resultant mixture = 210 –50 * 7/(7 + 3) + 50 = 210 – 35 + 50 = 225 liters

The quantity of water in the resultant mixture = 90 – 50 * 3/(7 + 3) + 75 = 90 – 15 + 75 = 150 liters

Required percentage = (225-150)*100/150 = 50%

115. A vessel contains y liters of pure wine and x% of pure wine is removed and replaced with same amount of water and the process is repeated two more times and the amount of wine left in the vessel is 64y/125 liters. Find the percentage of wine removed from the vessel.

एक बर्तन में y लीटर शुद्ध शराब है और शुद्ध शराब का x% हटा दिया जाता है और पानी की समान मात्रा के साथ बदल दिया जाता है और प्रक्रिया को दो बार और दोहराया जाता है और बर्तन में शेष बची शराब की मात्रा 64y/125 लीटर है। बर्तन से निकाली गई शराब का प्रतिशत ज्ञात कीजिए।

A. 30%
B. 15%
C. 25%
D. 20%
E. None of these

Option “D” is correct.

64y/125 = y * (1 – (y * x/100)/y)3

64/125 = (1 – x/100)3

64/125 = ((100 – x)/100)3

(4/5)3 = ((100 – x)/100)3

4/5 = (100 – x)/100

400 = 500 – 5x

5x = 100

x = 20%

116. A vessel contains 100 liters mixture of water and acid in the ratio of 2:3. If 25% of the mixture is taken out and 5 liters of acid is added to the mixture, then the quantity of water left in the vessel is what percentage of the quantity of acid left in that vessel?

एक बर्तन में 100 लीटर पानी और अम्ल का मिश्रण 2:3 के अनुपात में है। यदि मिश्रण का 25% निकाल लिया जाता है और मिश्रण में 5 लीटर अम्ल मिला दिया जाता है, तो बर्तन में बचे पानी की मात्रा उस बर्तन में बचे अम्ल की मात्रा का कितना प्रतिशत है?

A. 60%
B. 50%
C. 45%
D. 75%
E. None of these

Option “A” is correct.

Let the quantity of acid in the vessel initially = 100 * 3/(3 + 2) = 100 * 3/5 = 60 liters

And the quantity of water in the vessel initially = 100 – 60 = 40 liters

25% of the quantity of mixture in the vessel = 100 * 25/100 = 100/4 = 25 liters

The ratio of the quantity of acid to water in the vessel finally = (60 – 25 * 3/(3 + 2) + 5) : (40 – 25 * 2/(3 + 2))

= (60 – 15 + 5) : (40 – 10)

= 50:30

= 5:3

Required percentage = 3/5 * 100 = 60%

117. 288 liters of mixture contains milk and water in the ratio of 7:5. If 48 liters of mixture is taken out and replaced with 10 liters of water, then what percentage of water in the final mixture?

288 लीटर मिश्रण में दूध और पानी का अनुपात 7:5 है। यदि 48 लीटर मिश्रण को निकाल कर 10 लीटर पानी से प्रतिस्थापित किया जाता है, तो अंतिम मिश्रण में कितना प्रतिशत पानी है?

A. 25%
B. 44%
C. 36%
D. 60%
E. None of these

Option “B” is correct.

Milk in 288 liters=288*7/12=168

Water in 288 liters=288*5/12=120

Milk in final mixture=168-48*7/12=140

Water in final mixture=120-48*5/12+10=110

Quantity of milk and water in the final mixture=140+110=250

Required percentage=110/250 *100=44%

118. A vessel contains 81 litres of a mixture of milk and water. The ratio of milk and water is 5: 4. 27 litres of mixture is taken out from that vessel and then 10 litres of milk is added to it. What will be the percentage of water in the final mixture?

एक बर्तन में 81 लीटर दूध और पानी का मिश्रण है। दूध और पानी का अनुपात 5:4 है। उस बर्तन से 27 लीटर मिश्रण निकाला जाता है और फिर उसमें 10 लीटर दूध मिलाया जाता है। अंतिम मिश्रण में पानी का प्रतिशत कितना होगा?

A. 28.5%
B. 37.5%
C. 38.5%
D. 36.5%
E. None of these

Option “B” is correct.

Mixture = 81 litres

Quantity of milk = (5/9) * 81 = 45 lit

Quantity of water = (4/9) * 81 = 36 lit

Quantity of milk in final mixture = 45 – 27*5/9 + 10 = 45–15+10=40 litres

Quantity of water in final mixture = 36 – 27*4/9 = 36 – 12=  24 litres

In final mixture,

Milk =40 lit : Water = 24 lit : Total = 64 lit

Required % = 24/64 * 100 = 37.5%

119. A vessel contains the 60 liters mixture of milk and water in the ratio of 2: 1. If 40% and 30% of the milk and water is taken out from the vessel, then what is the difference between the quantity of milk and water in the final solution?

एक बर्तन में 60 लीटर दूध और पानी का मिश्रण 2: 1 के अनुपात में है। यदि बर्तन से दूध और पानी के 40% और 30% को बाहर निकाला गया है, तो अंतिम मिश्रण में दूध और पानी की मात्रा के बीच में क्या अंतर है?

A. 8 liters
B. 10 liters
C. 12 liters
D. 14 liters
E. None of these

Option “B” is correct.

Milk = 2/3 * 60 = 40 liters

Water = 1/3 * 60 = 20 liters

Milk in final solution = 40 * 60/100 = 24 liters

Water in final solution = 20 * 70/100 = 14 liters

Difference = 24 – 14 = 10 liters

120. 5 liter of mixture A contains 40% of water and rest is soda and 6 liter of mixture B contains equal quantity of water and soda. x liter of Water is added to mixture A, so that the resultant mixture contains 85% water and the same amount of water is added to the mixture B. Now both final mixtures are mixed. Find the total amount of water in the final solution?

5 लीटर मिश्रण A में 40% पानी है और शेष सोडा है और 6 लीटर मिश्रण B में पानी और सोडा की समान मात्रा है। मिश्रण A में x लीटर पानी मिलाया जाता है, ताकि परिणामी मिश्रण में 85% पानी हो और उतना ही पानी मिश्रण B में मिला दिया जाता है। अब दोनों अंतिम मिश्रण मिलाए जाते हैं। अंतिम घोल में पानी की कुल मात्रा ज्ञात कीजिए?

A. 40 liters
B. 33 liters
C. 35 liters
D. 25 liters
E. 32 liters

Option “C” is correct.

Initially,

5 liter of mixture has 2 lit of water and 3 lit of soda

6 liter of mixture has 3 lit of water and 3 lit of soda

The amount of water added in mixture A = x

(2+x)/3 = 85/15

=>x=15 lit

In mixture A, water= 2+15=17lit; soda= 3 lit

In mixture B, water= 3+15=18lit; soda= 3 lit

After mixing mixture A and B

Total water = 17 +18 = 35 liters

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