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71
The number that is to be added to 10% of 320 to have the sum as 30% of 230 is :
Discuss
Answer & Solution
Answer: Option A
Solution:
Let the number be x
According to the question,
x + 320 × $$\frac{10}{100}$$ = 230 × $$\frac{30}{100}$$
x + 32 = 69
x = 37
Hence, required number = 37
72
25% of 120 + 40% of 380 = ? of 637
Discuss
Answer & Solution
Answer: Option A
Solution:
120 × $$\frac{25}{100}$$ + 380 × $$\frac{40}{100}$$ = x × 637
⇒ 30 + 152 = x × 637
⇒ $$\frac{182}{637}$$ = x
⇒ x = $$\frac{2}{7}$$
⇒ Required answer = $$\frac{2}{7}$$
73
A number, on subtracting 15 from it reduces to its 80%. What is 40% of the number ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Let the number = x
According to the question,
x - 15 = $$\frac{80x}{100}$$
x - 15 = $$\frac{4x}{5}$$
5x - 75 = 4x
x = 75
Required answer
= 75 × $$\frac{40}{100}$$
= 30
74
If 35% of A's income is equal to 25% of B's income, then the ratio of A's income to B's income is :
Discuss
Answer & Solution
Answer: Option B
Solution:
A 35% = B 25%
$$\frac{A}{B}$$ = $$\frac{5}{7}$$
A : B = 5 : 7
75
If y% of one hour is, 1 minute 12 seconds, then y is equal to :
Discuss
Answer & Solution
Answer: Option A
Solution:
1 hour = 60 minutes
1 min + 12 sec
= 1 + $$\frac{12}{60}$$ = $$\frac{6}{5}$$ min
According to the question,
60 × $$\frac{y}{100}$$ = $$\frac{6}{5}$$
y = 2
76
When the price of an article was reduce by 20%, its sale increased by 80%. What was the net effect on the sale ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Let conside 100 item sold on Rs.100
∴ Total Amount = 100 × 100 = Rs. 10000
Now After 20% discount price become Rs.80
Total Number of Sale increased after discount is 80%.
i.e.
100 + 80% of 100 = 180(Item sold)
∴ Total Amount = 180 × 80 = Rs. 14400

Increased in amount = 14400 - 10000 = 4400
% Increase in amount
= $$\frac{{4400 \times 100}}{{10000}} $$
= 44% (increase)
77
In an examination, 34% failed in Mathematics and 42% failed in English. If 20% failed in both the subjects, the percentage of students who passed in both subjects was :
Discuss
Answer & Solution
Answer: Option C
Solution:
Failed students in Mathematics = 34%
Failed students in English = 42%
Student failed in both subject math and english = 20%
Student only fail in Math = 34 - 20 = 14%
Student only fail in English = 42 - 20 = 22%
Percentage of passed students in both subjects :
= 100 - [ student fail in maths + student fail in english + student fail in both subject]
= [100 - (14 + 20 + 22)]
= 44%
78
In an election there were only two candidates. One of the candidate secured 40% of votes and is defeated by the other candidate by 298 votes. The total number of votes polled is :
Discuss
Answer & Solution
Answer: Option C
Solution:
Let the total number of the voter is 100x and the winner get 60x votes and loser get 40x votes.
∴ According to question
60x - 40x = 298
⇒ x = $$\frac{298}{20}$$
∴ Total Number of voter = 100 × $$\frac{298}{20}$$   = 1490
79
In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as get a mixture of 45% alcohol strength ?
Discuss
Answer & Solution
Answer: Option B
Solution:
By using Alligation rule,
Percentage mcq solution image
Hence, required ratio = 1 : 3
80
When 60% of a number is subtracted from another number, the second number reduces to its 52%, the ratio of the first number to the second number is :
Discuss
Answer & Solution
Answer: Option D
Solution:
Let the first and second number is a and b respectively,
b - $$\frac{60a}{100}$$ = $$\frac{52b}{100}$$
b - $$\frac{52b}{100}$$ = $$\frac{60a}{100}$$
$$\frac{48b}{100}$$ = $$\frac{60a}{100}$$
4b = 5a
$$\frac{a}{b}$$ = $$\frac{4}{5}$$
⇒ a : b = 4 : 5