Test: Arun Sharma Based Level 1: Percentages
15 Questions MCQ Test Quantitative Aptitude (Quant) | Test: Arun Sharma Based Level 1: Percentages
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What fraction is equal to 57.12% (approximately)?
a% of a + b% of b = 2% of ab, then what percentage of a is b?
Subtracting 48% of N from N is equivalent to multiplying N by
N - 0.48 N = 0.52 N
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?
Let Length = 100, Breadth =100 Hence, Area = 10000
Now, Length =130, Breadth = 75 Hence, Area = 130 x 75 = 9750
The numbers are respectively 30% and 40% of a third number. What percentage is the first number of the second number?
Let 3rd No = 100
1st No. = 30 and 2nd No. = 40 Hence, 1st is 75% of 2nd No.
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?
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
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?
Let initial Amount = Rs. 100
Money left = 100 – (20 + 10 + 9 + 7)
= Rs. (100 – 46)
= Rs. 54
This 54r = 2700
r = 50
100r = 5000
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?
Since, we have to find the minimum percentage, it can be possible that no one has failed in both the subjects.
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.
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.
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?
The numerator has been increased by 25%. Hence, denominator will also increase by 25%.
Value in tercentage = 60 x 1.25 = 75 tercentage
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?
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 %
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?
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%
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?
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
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?
Turnover in 1998 = Rs 100 cr Turnover in 1999 = Rs 300 cr Turnover in 2000 = Rs 450 cr
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