model 10 percentage with allegations & mixture Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on percentage topic of quantitative aptitude

Questions : 300 grams of sugar solution has 40% of sugar in it. How much sugar should be added to make it 50% in the solution?

(a) 80 gram

(b) 40 gram

(c) 10 gram

(d) 60 gram

The correct answers to the above question in:

Answer: (d)

In 300 gm of solution,

Sugar = ${300 × 40}/100 = 120gm.$

Let x gm of sugar be mixed.

According to the question,

${120 + x}/{300 + x} =1/2$

240 + 2x = 300 + x

2x – x = 300 – 240 ⇒ x = 60 gm.

Practice percentage (model 10 percentage with allegations & mixture) Online Quiz

Discuss Form

Valid first name is required.
Please enter a valid email address.
Your genuine comment will be useful for all users! Each and every comment will be uploaded to the question after approval.

Read more allegations mixture based Based Quantitative Aptitude Questions and Answers

Question : 1

How much water must be added to 100 ml of 80 per cent solution of boric acid to reduce it to a 50 per cent solution ?

a) 60 ml

b) 30 ml

c) 40 ml

d) 50 ml

Answer: (a)

Let x ml of water be added.

${20 + x}/{100 + x} × 100$ = 50

40 + 2x = 100 + x ⇒ x = 60 ml

Question : 2

In 50 gm alloy of gold and silver, the gold is 80% by weight. How much gold should be mixed to this alloy so that the weight of gold would become 95% ?

a) 10 gm

b) 200 gm

c) 150 gm

d) 50 gm

Answer: (c)

Initial quantity of gold

= ${50 × 80}/100$ = 40 gm

Let 'x ' gm be mixed.

$(40 + x) = (50 + x) × 95/100$

$40 + x =(50 + x) × 19/20$

800 + 20x = 950 + 19x

x = 150 gm

Question : 3

40 litres of a mixture of milk and water contains 10% of water, the water to be added, to make the water content 20% in the new mixture is :

a) 5 litres

b) 6 litres

c) 6.5 litres

d) 5.5 litres

Answer: (a)

Water content in 40 litres of mixture = $40 × 10/100$ = 4 litres

Milk content = 40 – 4 = 36 litres

Let x litres of water is mixed.

Then, ${4 + x}/{40 + x} = 20/100$

${4 + x}/{40 + x} = 1/5$

20 + 5x = 40 + x

4x = 20 ⇒ x = 5 litres

Question : 4

75 gm of sugar solution has 30% sugar in it. Then the quantity of sugar that should be added to the solution to make the quantity of the sugar 70% in the solution, is

a) 130 gm

b) 125 gm

c) 100 gm

d) 120 gm

Answer: (c)

Sugar in original solution

= ${75 × 30}/100$ = 22.5gm

Let x gm of sugar be mixed.

${22.5 + x}/{75 + x} × 100 = 70$

2250 + 100x = 75 × 70 + 70x

2250 + 100x = 5250 + 70x

30x = 5250 – 2250 = 3000

x = $3000/30$ = 100 gm

Question : 5

In what ratio must 25% of alcohol be mixed with 50% of alcohol to get a mixture of 40% strength alcohol ?

a) 3 : 2

b) 1 : 2

c) 2 : 1

d) 2 : 3

Answer: (d)

Required ratio = $1/10 : 3/20 = 2 : 3$

Question : 6

200 litres of a mixture contains 15% water and the rest is milk. The amount of milk that must be added so that the resulting mixture contains 87.5% milk is

a) 45 litres

b) 30 litres

c) 35 litres

d) 40 litres

Answer: (d)

In 200 litres of mixture,

Quantity of milk = 85 100 ´ 200 = 170 litres

Quantity of water = 30 litres

Let the quantity of additional milk added be x litres.

According to the question,

${170 + x}/{200 + x} × 100 = 87.5$

(170 +x) × 100 = 17500 + 87.5x

100x – 87.5x = 17500 – 17000

12.5x = 500

x = $500/12.5$ = 40 litres

Recently Added Subject & Categories For All Competitive Exams

100+ Quadratic Equation Questions Answers PDF for Bank

Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

IBPS Aptitude Linear Equations MCQ Questions Answers PDF

Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

New 100+ Compound Interest MCQ with Answers PDF for IBPS

Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams

02-Jul-2024 by Careericons

Continue Reading »

100+ Mixture and Alligation MCQ Questions PDF for IBPS

Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams

02-Jul-2024 by Careericons

Continue Reading »