581. Amir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?
A. 15400
B. 14300
C. 13200
D. 12800

Explanation:
Let the monthly salary of Aamir be Rs. x.
68% of x = 27200
=> x = (27200 * 100)/68 = 40000
His savings = 32/100 * 40000 = 12800.

582. If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
A. 40%
B. 33 1/3%
C. 60%
D. 66 2/3%
E. None of these

Explanation:
Given ratio = 1/8 : 1/5 = 5 : 8
Let first number be 5x and the second number be 8x.
The second number is more than first number by 3x.
Required percentage = 3x/5x * 100 = 60%.

583. If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?
A. 16 2/3%
B. 20%
C. 22 1/3%
D. 15%
E. None of these

Explanation:
Let the price of the article be Rs. 100.
20% of 100 = 20.
New price = 100 + 20 = Rs. 120
Required percentage = (120 – 100)/120 * 100
= 20/120 * 100 = 50/3 = 16 2/3%.

584. If P gets 25% more than Q, then by what percent does Q get less than P
A. 33 1/3%
B. 30%
C. 20%
D. 16 2/3%
E. None of these

Explanation:
Let Q get 1 unit.
25% of 1 unit = 1/4 = 0.25
P gets (1 + 0.25) i.e., 1.25 units.
Difference = (1.25 – 1) = 0.25
Required percentage = 0.25/1.25 * 100 = 1/5 * 100 = 20%

585. If 30% of a number exceeds 20% of it by 18, then find the number?
A. 120
B. 200
C. 180
D. 150
E. None of these

586. When the numerator of a fraction is decreased by 25% and its denominator is decreased by 20%, the new fraction obtained is 3/4. Find the original fraction?
A. 5/4
B. 4/7
C. 5/6
D. 6/7
E. None of these

Explanation:
Let the fraction be x/y.
When the numerator decreased by 25% and the denominator decreased by 20%.
(x * 3/4)/(y * 4/5) = 3/4 => x/y = 3/4 * (4/5)/(3/4) = 4/5

587. Bilal spends 45% of his monthly income on household items, 25% of his monthly income on buying cloths, 7.5% of his monthly income on medicines and saves the remaining amount which is Rs. 9000. Find his monthly income.
A. Rs. 40000
B. Rs. 36000
C. Rs. 50000
D. Rs. 45000
E. None of these

Explanation
Let the number be a
Given, 15/100 * 30/100 * 50/100 * a = 90
=> 3/20 * 3/10 * 1/2 * a = 90
=> a = 10 * 20 * 10 * 2 = 4000.

588. If 15% of 30% of 50% of a number is 90, then what is the number?
A. 4000
B. 3050
C. 4400
D. 4500
E. None of these

Explanation
Let the number be a
Given, 15/100 * 30/100 * 50/100 * a = 90
=> 3/20 * 3/10 * 1/2 * a = 90
=> a = 10 * 20 * 10 * 2 = 4000.

589. If A got 80 marks and B got 60 marks, then what percent of A’s mark is B’s mark?
A. 60%
B. 80%
C. 65%
D. 75%
E. None of these

Explanation:
A’s marks = 80 ; B’s marks = 60.
Let x% of A = B => x/100 * 80 = 60
=> x = (60 * 100)/80 = 75
B’s marks is 75% of A’s marks

590. 3/20 is what percent of 12/25?
A. 42.75%
B. 31.25%
C. 35.5%
D. 40.5%
E. None of these

Explanation:
Let the required percentage be x%.
3/20 = x% of 12/25 => 3/20 = x/100 * 12/25
=> 12x = (300 * 25)/20 => x = (25 * 25)/20
=> x = 31.25%.

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