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Percentage Mcqs

When a number is first increased by 10 % and then reduced by 10 % the number:__________?

When a number is first increased by 10 % and then reduced by 10 % the number:__________?

A. does not change
B. decreased by 1 %
C. increased by 1 %
D. None of these
Explanation:
Let the given number be x
Increased Number = (110% of x)
= (110/100 × x) = (11x/10)
Finally reduced number = (90 % of 11x/10)
= (90/100 × 11x/10) = 99x/100
Decrease = (x – 99x/100) = x/100
Decrease % = (x/100 × 1/x × 100)% = 1 %

When a number is first increased by 10 % and then reduced by 10 % the number:__________? Read More »

Mathematics Mcqs, Percentage Mcqs

Two number is first increased by 10 % and then reduced by 10 % the number:__________?

Two number is first increased by 10 % and then reduced by 10 % the number:__________?

A. 2:5
B. 4:5
C. 6:7
D. 3:5
Explanation:
Let the third number be x.
Then 1st number = 120% of x = (120/100 × x) = 6x/5
2nd number = 150 % of x = (150/100 × x) = 3x/2
Ratio of these numbers = 6x/5 : 3x/2 = 12: 15 = 4 : 5

Two number is first increased by 10 % and then reduced by 10 % the number:__________? Read More »

Mathematics Mcqs, Percentage Mcqs

If the side of a square is increased by 25 %. Then its area is increased by:__________?

If the side of a square is increased by 25 %. Then its area is increased by:__________?

A. 25 %
B. 55%
C. 40.5 %
D. 56.25 %
Explanation:
Let the side of the square be x units.
Then it’s area = x2 sq. Units
Side of new square = 125 % of x = (125/100 × x)units = 5x/4 units
New area = (5x/4 × 5x/4)sq.units = 25×2/16 Sq.units
Increase in area = (25×2/16 – x2) = 9×2/16 Sq.Units
Increase % = (9×2/16 × 1/x2 × 100)%
= 225/4 % = 56.25 %

If the side of a square is increased by 25 %. Then its area is increased by:__________? Read More »

Mathematics Mcqs, Percentage Mcqs

A typist uses a paper 30 cm by 15 cm. He leaves a margin of 2.5 cm at the top as well as at the bottom and 1.25 cm on either side. What percentage of paper area is approximately available for typing?

A typist uses a paper 30 cm by 15 cm. He leaves a margin of 2.5 cm at the top as well as at the bottom and 1.25 cm on either side. What percentage of paper area is approximately available for tyg?

A. 65 %
B. 70 %
C. 80 %
D. 60%
Explanation:
Total Area of the Paper = (30 × 15) Sq.cm = 450 Sq.cm
Area Used = [(30-5)×(15-2.5) ]Sq.cm
= (25 × 12.5) Sq.cm = (25 x 25/2) Sq.cm = 625/2 cm2
Percentage are Used by = (625/2× 1/450×100) %
= 69.4 % = 70 % nearly

A typist uses a paper 30 cm by 15 cm. He leaves a margin of 2.5 cm at the top as well as at the bottom and 1.25 cm on either side. What percentage of paper area is approximately available for typing? Read More »

Mathematics Mcqs, Percentage Mcqs

The length of a rectangle is increased by 10 % and breadth decreased by 10 % Then the area of a new rectangle is:_________?

The length of a rectangle is increased by 10 % and breadth decreased by 10 % Then the area of a new rectangle is:_________?

A. neither increased nor decreased
B. increased by 1 %
C. decreased by 1 %
D. decreased by 10 %
Explanation:
Let original length = l units and original breadth = b units
Then original Area = lb sq. Units
New length = (110/100 l) units = (11 l)/10 units
New breadth = (90/100 b) units = (9 l)/10 units
New area = (11l/10 × 9b/10) sq. Units = 99lb/100 sq. units
Decrease in area = (lb- 99lb/100)sq units = lb/100 sq. units
Decrease in area = (lb/100 × 1/lb ×100) % = 1 %
Decrease by = 1 %

The length of a rectangle is increased by 10 % and breadth decreased by 10 % Then the area of a new rectangle is:_________? Read More »

Mathematics Mcqs, Percentage Mcqs

A and B are two fixed points 5 cm apart and c is a point on AB such that AC = 3 cm. If the length of AC is increased by 6 % the length of CB is decreased by:_________?

A and B are two fixed points 5 cm apart and c is a point on AB such that AC = 3 cm. If the length of AC is increased by 6 % the length of CB is decreased by:_________?

A. 6 %
B. 7 %
C. 8 %
D. 9 %
Explanation:
AC = 3cm, CB = (5 – 3)cm = 2 cm
New length AC = 106 % of 3 cm
= (106/100 ×3) cm = 3.18 cm.
New length CB = (5 – 3.18) cm = 1.82 cm
CB Decreased on 2cm = (2 – 1.82)cm = 0.18cm
CB Decrease % = (0.18/2 ×100) % = 9 %

A and B are two fixed points 5 cm apart and c is a point on AB such that AC = 3 cm. If the length of AC is increased by 6 % the length of CB is decreased by:_________? Read More »

Mathematics Mcqs, Percentage Mcqs

5 % of the income of A is equal to 15 % of the income of B and 10 % of the income of B is equal to 20 % of the income of c. If the income of C is Rs. 2000. What is the total income of A, B and C?

5 % of the income of A is equal to 15 % of the income of B and 10 % of the income of B is equal to 20 % of the income of c. If the income of C is Rs. 2000. What is the total income of A, B and C?

A. Rs. 14000
B. Rs 16000
C. Rs. 18000
D. Rs. 12400
Explanation:
10/100 × B = 20/100 × c
=>B = 2c =>B = (2 × 2000) = 4000
5/100 × A = 5/100 × B =>A = 3B = (3 × 4000) = 12000
(A + B + C) = Rs (12000 + 4000 + 2000) = Rs. 18000

5 % of the income of A is equal to 15 % of the income of B and 10 % of the income of B is equal to 20 % of the income of c. If the income of C is Rs. 2000. What is the total income of A, B and C? Read More »

Mathematics Mcqs, Percentage Mcqs

A reduction of 20 % in the price of sugar enables a purchaser to obtain 3kg more for Rs. 120. The original price of sugar per kg is:________?

A reduction of 20 % in the price of sugar enables a purchaser to obtain 3kg more for Rs. 120. The original price of sugar per kg is:________?

A. Rs. 15
B. Rs. 12
C. Rs. 10
D. Rs. 8

A reduction of 20 % in the price of sugar enables a purchaser to obtain 3kg more for Rs. 120. The original price of sugar per kg is:________? Read More »

Mathematics Mcqs, Percentage Mcqs

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

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

A. 200 gm
B. 150 gm
C. 50 gm
D. 10 gm

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

Mathematics Mcqs, Percentage Mcqs