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Percentage

Theory and Formula


Question


Q1. In an examination , a candidates A scores 20% and fails by 40 marks while candidates B scores 30% and gets 10 marks more than the minimum pass marks . find the maximum marks.

Solution.
Let x is maximum marks
pass marks for A = 20% of x + 40
pass marks for B = 30% of x - 10
10% of x = 50
x = 500
Solution

Q2. A sells a good to B at a profit of 20% and B sells it it C at a profit of 25% . If C pays Rs.500 for it, what did A pay for it.

(a) Rs.400 (b) Rs.394 (c) Rs.334 (d) Rs.500

Solution.
Trick = a + b + ab/100
a and b are profit percentage
= 20 + 25 + 500/100 = 50%
Rs.334
Solution

Q3. Each of two coolers is sold for Rs.1800.The first one is sold at 40% profit and other one is sold at 40% loss. What is the percent loss or profit in this action?

Solution.
16%(loss)
Solution

Q4. Each of the two tables is sold for Rs.720 the first one is sold at 25% profit and the other one at 25% loss. what is the percentage of loss or gain in this deal ?

(a) 7% (b) 6.25% (c) 6% (d) 5.5%

Solution.
In this,there is always loss.

% loss = (25)2/100

= 625/100

= 6.25%
Solution

Q5. Monthly income of a person first increased by 15%,then it is diminished by 5% So, what is the net change in income of the person.

(a) 7% (b) 8.75% (c) 9.25% (d) 6%

Solution.
= a + b + ab/100

= 15 - 5 - 75/100

= 15 - 5.75

= 9.25%
Solution

Q6. If A's salaary is 25% more than that of B, then how much percent is B's salary less than that of x.

(a) 5% (b) 10% (c) 15% (d) 20%

Solution.
=
r/100 + r
x 100 %

=
25/125
x 100 %

= 20%
Solution

Q7. If the population of a town was reduced by 12% in a particular year and in the next it was increased by 15%. What is the percentage effect on the population on the last day of 2nd year.

(a) 2.2% (b) 1% (c) 2% (d) 1.2%

Solution.
a + b + ab/2

= 15 - 12 - (15 x 12)/100

= 1.2%
Solution

Q8. Two numbers are respectively 10% and 25% less than a third number, what percent is the first of the second ?

(a) 75% (b) 120% (c) 100% (d) 80%

Solution.
[(100 - x)/(100 - y) x 100]%

(90/75) x 100 = (90/3) x 4

30 x 4 = 120%
Solution

Q9. In a fashion designing institute the number of seats increased by 25% and the fees is also increased by 10% . what will be the impact on the total revenue collected.

(a) 48% (b) 36% (c) 37.5% (d) 40%

Solution.
= {a + b + ab/100}%

= 25 + 10 + (25 x 10)/100

= 37.5%
Solution

Q10. Two numbers are respectively 20% and 40% more than a third number . what percentage is the first of the second ?

(a) 68% (b) 85.7% (c) 90% (d) 72%

Solution.
= 120/140 x 100

= (1200/14)%

= (600/7)% = 85.7%
Solution