Percentages Test

Result

Percentages Test - 3

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
3 / -1

What fraction is equal to 57.12% (approximately)?

A
4/8

B
5/8

C
5/7

D
4/7

Solution
Question 2
3 / -1

a% of a + b% of b = 2% of ab, then what percentage of a is b?

A
50%

B
75%

C
100%

D
Cannot be determined

Solution
Question 3
3 / -1

Subtracting 48% of N from N is equivalent to multiplying N by

A
0.48

B
1.48

C
0.52

D
0.42

Solution

N - 0.48 N = 0.52 N
Question 4
3 / -1

The length of rectangle is increased by 30% and the breadth is decreased by 25%. What is the percentage change in the area of the rectangle due to this?

A
2.5% increase

B
25% decrease

C
25% increase

D
2.5% decrease

Solution

Let Length = 100, Breadth =100 Hence, Area = 10000
Now, Length =130, Breadth = 75 Hence, Area = 130 x 75 = 9750
Question 5
3 / -1

The numbers are respectively 30% and 40% of a third number. What percentage is the first number of the second number?

A
25%

B
50%

C
40%

D
75%

Solution

Let 3rd No = 100
1st No. = 30 and 2nd No. = 40 Hence, 1st is 75% of 2nd No.
Question 6
3 / -1

A man spends 25% of his money on food. After spending 50% of the remaining, he is left with Rs 375. How much money was with that man initially?

A
Rs 5,000

B
Rs 4,000

C
Rs 5,800

D
Rs 1,000

Solution

Assume that he had initially Rs 100.
After spending on food, money left = Rs 75
After spending 50% of Rs 75, he had Rs 37.5
Question 7
3 / -1

After spending 20% on clothes, 10% on books, 9% on purchasing gift for girl friend and 7% on others, Chandra has a balance of Rs 2,700. How much money was there with him initially?

A
Rs 5,000

B
Rs 6,000

C
Rs 7,000

D
None of these

Solution

Let initial Amount = Rs. 100
Money left = 100 – (20 + 10 + 9 + 7)
= Rs. (100 – 46)
= Rs. 54
This 54r = 2700
r = 50
100r = 5000
Question 8
3 / -1

In an exam of two papers maths and chemistry, 60% of the students pass in maths and 70% pass in chemistry. What is minimum percentage of students who could have failed in both the subjects?

A
0%

B
30%

C
40%

D
None of these

Solution

Since, we have to find the minimum percentage, it can be possible that no one has failed in both the subjects.
Question 9
3 / -1

An amount is lent at y% p.a. simple interest for two years. Instead, had it been lent at 2y% p.a. simple interest for y more years, then the interest would have been five times the earlier interest. Find the value of y.

A
2

B
3

C
4

D
5

Solution
Question 10
3 / -1

Find the least number of integral years in which a sum of money invested at 20% compound interest per annum will become more than double itself.

A
1

B
4

C
2

D
3

Solution
Question 11
3 / -1

In the country of Tattoland, a new term tercentage has been introduced in the place of percentage. While percentage is per 100, tercentage is per 125. What will be the tercentage marks obtained by a student in Tattoland if his percentage of marks is 60?

A
48 tercentage

B
75 tercentage

C
60 tercentage

D
Cannot be determined

Solution

The numerator has been increased by 25%. Hence, denominator will also increase by 25%.
Value in tercentage = 60 x 1.25 = 75 tercentage
Question 12
3 / -1

In a maternity centre, 5% of all the childbirth cases result in twins. What is the approximate percentage of twins out of total children born?

A
5%

B
7.6%

C
9.5%

D
10.4%

Solution

Let there be x number of birth cases.
Thus, the number of birth cases of twins = (5*x)/100 = x/20
So the total number of children born are = x + (x/20)(since in cases of twins there is an additional child) = 21x/20
Total number of twin born = (x/20)* 2 = x/10
percentage of twins in the total population born = ((x/10)/(21x/20)) * 100 = 9.5 %
Question 13
3 / -1

A, B and C donate 8%, 7% and 9%, of their salaries, respectively to a charitable trust. The salaries of A and B are same and the difference between their donations is 259. The total donation of A and B is 1185 more than that of C. The total donation of A and C is what percentage of the total salaries of A, B and C?

A
5.8%

B
5.3%

C
6.3%

D
None of these

Solution

Let salaries of A and B be Rs. x and salary of C be Rs. y, then
8x/100 – 7x/100 = 259
⇒ x/100 = 259
⇒ x = 25900
Salaries of A and B is Rs. 25900.
Donation of A and B = 25900 × (8 + 7)/100 = 25900 × 15/100 = 3885
Donation of C = 3885 – 1185 = 2700
y × (9/100) = 2700
⇒ y = 30,000
Sum of salaries of A, B and C = 25900 + 25900 + 30000 = 81800
Donation of A = 259 × (8/100) = 2072
Total donation of A and C = 2072 + 2700 = 4772
Percentage of total donation of total salaries of A, B and C = (4772/81800) × 100 = 5.8%
Short Trick:
Let salaries of A, B be 100%
⇒ 8% – 7% = 259
⇒ 1% = 259
⇒ 8% = 2072
⇒ 15% = 3885
⇒ 100% = 25900
Donation of C = 3885 – 1185 = 2700
⇒ 9% = 2700
⇒ 100% = 30,000
Total donation of A and C = 2072 + 2700 = 4772
Total salaries of A, B and C = 25900 + 25900 + 30000 = 81800
∴ Required percentage = 4772/81800 × 100 = 5.8%
Question 14
3 / -1

In solution of sugar and water the ratio of sugar and water by weight is 1:4. This solution is heated and in the process it loses 50% weight. What is the ratio of weight of sugar and water in the final mixture?

A
4:1

B
2:1

C
2:3

D
3.5:2

Solution

Weight of solution = (1+4) = 5 units weight of sugar = 1 unit weight of water after heating =1.5 units Required ration =1 : 1.5 = 2 : 3
Question 15
3 / -1

Dataman Infosys Systems is a Lucknow-based software company which is growing tremendously. It doubled its turnover in 1998 from Rs 50 crores in 1997. Then it tripled its turnover in 1999 and grew by 50% in 2000. What is the turnover at the end of 2000?

A
Rs 250 cr

B
Rs 450 cr

C
Rs 300 cr

D
Rs 600 cr

Solution

Turnover in 1998 = Rs 100 cr Turnover in 1999 = Rs 300 cr Turnover in 2000 = Rs 450 cr