81. If 15% of A = 20% of B, A is what percent of B?
यदि A का 15% = B का 20%, A, B का कितना प्रतिशत है?
Option “B” is correct.
Formula used:
Percentage = (Part value/Whole value) × 100
Calculation:
15% of A = 20% of B
⇒ 15A/100 = 20B/100
⇒ 15A = 20B
⇒ A/B = 20/15 = 4/3
Part value = 4
Whole value = 3
Required percentage = (4/3) × 100 = 400/3
⇒ 400/3 = 1331/3%
∴ A is 133 1/3% of B
82. 7% of the people eligible to vote are below 21 years of age. In an election, 80% of those eligible to vote, who were below 21 years, actually voted. In that election, the number of people below 21 years, who actually voted was what percent of those eligible to vote?
मतदान के योग्य 7% व्यक्ति 21 वर्ष से कम आयु के हैं। एक चुनाव में, 21 वर्ष से कम आयु के मतदान के लिए योग्य व्यक्तियों में से 80% ने, वास्तव में मतदान किया। इस चुनाव में, 21 वर्ष से कम आयु के वास्तव में मतदान करने वाले व्यक्तियों की संख्या, वोट देने के योग्य लोगों की संख्या की कितनी प्रतिशत है?
Option “B” is correct.
Let the number of people eligible to vote be x.
Number of people below 21 years = 7% of x.
Number of people below 21 years, who voted = 80% of (7% of x) = 56x/1000
83. If x/y = 5 and y is not ‘0’, what percent of x is 3x – 2y?
यदि x/y = 5 और y ‘0’ नहीं है, 3x – 2y, x का कितना प्रातिशत है?
Option “A” is correct.
We have x/y = 5
⇒ x = 5y —- (1)
Then, we have to find
⇒3x−2y/x×100 —- (2)
⇒15y−2y/5y×100
⇒13y/5y×100
⇒ 260%
84. What is 0.008% of 0.02?
0.02 का 0.008% क्या है?
Option “A” is correct.
0.008% of 0.02
0.02 × (0.008/100)
1.6/106
1.6 × 10-6
85. A is 20% more than B. B is 25% more than C. C is how much percent less than A?
A, B से 20% अधिक है। B, C से 25% अधिक है। C, A से कितने प्रतिशत कम है?
Option “A” is correct.
Let B be 100,
A is 20% more than B,
⇒ A = 120% of B
⇒ A = 120/100 × 100 = 120
B is 25% more than C
⇒ B = 125% of C
⇒ C = B × 100/125
⇒ C = 100 × 100/125 = 80
C is lesser than A by,
⇒ 120 – 80 = 40
In percentage,
⇒ 40/120 × 100
⇒ 33.33%
∴ C is 33.33% less than A.
86. If 40% of 70 is x% more than 30% of 80, then find ‘x’.
यदि 70 का 40%, 80 के 30% से x% अधिक है, तो ‘x’ ज्ञात कीजिये।
Option “B” is correct.
40% of 70
⇒ 70 × (40/100)
⇒ 28
And, 30% of 80
⇒ 80 × (30/100)
⇒ 24
Now, 28 is more than 24 by = 28 – 24 = 4
∴ 28 is more than 24 by = [4/24] × 100 = 16.67%
87. A number reduced by 33% becomes 335. What percent should it be increased so that it becomes 950?
एक संख्या में 33% की कमी होने से वह संख्या 335 हो जाती है, तो इसमें कितने प्रतिशत की वृद्धि की जानी चाहिए ताकि यह 950 हो जाए?
Option “B” is correct.
Let the number be x, then
x × (67/100) = 335
⇒ x = 335 × (100/67)
⇒ x = 500
If number become 950, then number increased by = 950 – 500 = 450
∴ Percentage increased by = 450/500 × 100 = 90%
88. What is the difference between 0.9 and 0.9%?
0.9 और 0.9% के बीच क्या अंतर है?
Option “D” is correct.
As we know,
⇒ 0.9% = 0.9/100 = 0.009
Difference between 0.9 and 0.009 = 0.891
89. In an alloy, there is 16% of bronze per kg. In order to obtain 92 kg of bronze, how much alloy will be required?
एक मिश्र धातु में, प्रति किग्रा 16% कांस्य है। 92 किग्रा कांस्य प्राप्त करने के लिए, कितना मिश्र धातु की आवश्यकता होगी?
Option “B” is correct.
Given:
In an alloy, there is 16% of bronze per kg.
Calculation:
There is 16% of bronze per kg, that means 16kg bronze in 100 kg alloy.
We need 92 kg bronze ⇒ [92/16] × 100 = 5.75 × 100 = 575 kg
∴ Alloy required = 575 kg
90. A small scale business has the following expense: procurement (25%), Employees’ salary (25%), and 50% for maintenance. If the business pays a total salary of Rs. 2,00,000 then what is its maintenance expense?
एक छोटे पैमाने के व्यवसाय में निम्नलिखित व्यय होते हैं: खरीद (25%), कर्मचारियों का वेतन (25%), और रखरखाव के लिए 50%। यदि व्यवसाय कुल 2,00,000 रूपये वेतन का भुगतान करता है, तो उसका रखरखाव पर व्यय कितना है?
Option “B” is correct.
Given:
Procurement = 50%
Employees’ salary = 25%
Maintenance = 50%
Total salary = Rs. 200000
Calculation:
Let the Income of business be x
According to the question
x × 25/100 = 2,00,000
⇒ x = 2,00,000 × 100/25
⇒ x = 8,00,000
∴ Expense on maintenance = 8,00,000 × 50/100 = 4,00,000
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