model 1 simple percentage questions Section-Wise Topic Notes With Detailed Explanation And Example Questions

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The following question based on percentage topic of quantitative aptitude

Questions : A number is divided into two parts in such a way that 80% of 1st part is 3 more than 60% of 2nd part and 80% of 2nd part is 6 more than 90% of the 1st part. Then the number is

(a) 135

(b) 145

(c) 125

(d) 130

The correct answers to the above question in:

Answer: (a)

First part =Rs.x and second part = Rs.y.

${x × 80}/100 = {y × 60}/100 +3$

${4x}/5 = {3y}/5 +3$

4x – 3y = 15 ...(i)

Again, ${4y}/5 = {9x}/10 + 6$

8y = 9x + 60

8y – 9x = 60 ...(ii)

By equation (i) × 8 + (ii) × 3,

32x – 24y = 120

24y – 27x = 180

By adding the above two equation.We get,

5x = 300 ⇒ x = 60

From equation (i)

4 × 60 - 3y = 15

3y = 240 – 15 = 225

y = $225/3$ = 75

x + y = 60 + 75 = 135

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Read more simple percentage Based Quantitative Aptitude Questions and Answers

Question : 1

If 20% of (A + B) = 50% of B, then value of $\text"2A - B"/ \text"2A + B"$ is

a) $1/4$

b) 1

c) $1/2$

d) $1/3$

Answer: (c)

(A + B) × $20/100 = B × 50/100$

${A + B}/ 5 = B/2$

2A + 2B = 5B

2A = 3B

${2A}/B$ = 3 or 2A = 3B

${2A - B}/{2A + B} = {2{A/B} - 1}/{2{A/B} + 1} = {3 - 1}/{3 + 1}$

= $2/4 = 1/2 = {3B - B}/{3B + B} = {2B}/{4B}$

Question : 2

If 125% of x is 100, then x is :

a) 400

b) 125

c) 80

d) 150

Answer: (c)

$x × 125/100 = 100$

$x = {100 × 100}/125 = 80$

Question : 3

If 50 % of P = 25% of Q, then P = x% of Q. Find x.

a) 50

b) 0.005

c) 0.5

d) 2

Answer: (a)

P × $50/100 = Q × 25/100$

P × 50 = Q × 25

P = ${Q × 25}/50 ⇒ P = Q/2$

P = Q x %

Q × $x/100 =Q/2$

x = $100/2$ = 50

Question : 4

If 30% of A is added to 40% of B, the answer is 80% of B. What percentage of A is B?

a) 70%

b) 75%

c) 30%

d) 40%

Answer: (b)

$A × 30/100 + {B × 40}/100 = {B × 80}/100$

A × 30 = B × 40

$A/B = 40/30 = 4/3$

$B/A = 3/4$

$B/A × 100 = 3/4$ × 100 = 75%

Question : 5

Half of 1 per cent, written as a decimal, is

a) 0.005

b) 0.05

c) 0.2

d) 0.02

Answer: (a)

1% = $1/100$

$1/100 × 1/2 = 1/200 = 0.005$

Question : 6

In a big garden 60% of the trees are coconut trees, 25% of the number of coconut trees are mango trees and 20% of the number of mango trees are apple trees. If the number of apple trees are 1500, then the number of trees in the garden is :

a) 51000

b) 45000

c) 48000

d) 50000

Answer: (d)

If the number of trees in the garden be x, then

$x × 60/100 × 25/100 × 20/100 = 1500$

$x × 3/5 × 1/4 × 1/5 = 1500$

$x = {1500 × 5 × 4 × 5}/3$

= 50000

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GET percentage PRACTICE TEST EXERCISES

model 1 simple percentage questions

model 2 net increase or decrease in %

model 3 reducing & exceeding prices

model 4 x & y comparison

model 5 income & expenditure

model 6 consumption & remaining

model 7 marks scored in examinations

Model 8 population based

model 9 voters & election

model 10 percentage with allegations & mixture

model 11 percentage with ratios
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