181. The number of boys in the class is 50% more than the number of girls in the class. If the number of boys in the class is increased by 40% and the number of girls in the class is increased by 60%, then what is the ratio of the number of boys to number of girls in the class?

कक्षा में लड़कों की संख्या, कक्षा में लड़कियों की संख्या से 50% अधिक है। यदि कक्षा में लड़कों की संख्या में 40% से वृद्धि हुई है और कक्षा में लड़कियों की संख्या में 60% की वृद्धि हुई है, तो कक्षा में लड़कों की संख्या से लड़कियों की संख्या का अनुपात क्या है?

A. 21:16
B. 19:13
C. 26:17
D. 31:15
E. None of these

Option “A” is correct.

Number of girls = 2x

Number of boys = 2x * 150/100 = 3x

Required ratio = 3x * 140/100:2x * 160/100

= 42:32

= 21:16

182. The number of balls in box A is 20% more than that of B and the number of balls in C is 50% less than that of B. If the number of balls in A, B and C is increased by 25%, 40% and 20% respectively, then find the percentage change in the sum of the balls in all the box together?

बॉक्स A में गेंदों की संख्या, B की तुलना में 20% अधिक है और C में गेंदों की संख्या, B की तुलना में 50% कम है। यदि A, B और C में गेंदों की संख्या में क्रमशः 25%, 40% और 20% की वृद्धि होती है, तो एक साथ सभी बॉक्स में गेंदों के योग में प्रतिशत परिवर्तन ज्ञात कीजिए?

A. 29.62%
B. 30.12%
C. 27.14%
D. 28.54%
E. 31.73%

Option “A” is correct.

B = 100x

A = 100x * 120/100 = 120x

C = 100x * 50/100 = 50x

After increased, A = 120 * 125/100 = 150x

B = 100x * 140/100 = 140x

C = 50x * 120/100 = 60x

Required % = ((150x + 140x + 60x) – (100x + 120x + 50x))/(100x + 120x + 50x) * 100

= 29.62%

183. The monthly salary of a person is Rs. 7875. Base salary of him is Rs. 6000 and rest are Allowances. If in next month his monthly salary is increased by 40% and base salary is increased by 33.333% then find the percentage change in allowances as compared to previous month.

किसी व्यक्ति का मासिक वेतन 7875 रुपये है। उसका मूल वेतन 6000 रुपये है और शेष भत्ता है। यदि अगले महीने में उसके मासिक वेतन में 40% से और मूल वेतन में 33.333% से वृद्धि हुई है, तो पिछले महीने की तुलना में भत्ते में हुए प्रतिशत परिवर्तन को ज्ञात कीजिए।

A. 51.33%
B. 62.33%
C. 63.33%
D. 61.33%
E. None of these

Option “D” is correct.

Allowances = 7875 – 6000 = 1875

New monthly salary = 1.4 x 7875 = 11025

New base salary = 4/3 x 6000 = 8000

New allowances = 11025 – 8000 = 3025

Required % change = (3025 – 1875)/1875 x 100 = 61.33%

184. Total number of students in the school is 480 and the ratio of the number of boys and girls 5:3. If the number of boys increased by 40% and the number of girls decreased 25%, then now find the number of students in the school?

स्कूल में छात्रों की कुल संख्या 480 है और लड़कों और लड़कियों की संख्या का अनुपात 5:3 है। यदि लड़कों की संख्या में 40% की वृद्धि हुई और लड़कियों की संख्या में 25% की कमी हुई। तो अब स्कूल में छात्रों की संख्या ज्ञात कीजिए?

A. 555
B. 560
C. 565
D. 570
E. 545

Option “A” is correct.

Number of boys in the school = 5/8 * 480 * 140/100 = 420

Number of girls in the school = 3/8 * 480 * 75/100 = 135

Required total = 420 + 135 = 555

185. The ratio of the salary of Priya and Maria is 5:7. If Maria’s salary is increased by 40%, then her total salary becomes Rs.24500. What is the salary of Priya?

प्रिया और मारिया के वेतन का अनुपात 5: 7 है। यदि मारिया के वेतन में 40% से वृद्धि की गई है, फिर उसका कुल वेतन 24500 रुपये हो जाता है। प्रिया का वेतन क्या है?

A. Rs.10000
B. Rs.11500
C. Rs.12500
D. Rs.15000
E. Rs.17500

Option “C” is correct.

7x * 140/100 = 24500

x = 2500

Salary of Priya = 2500 * 5 = 12500

186. The number of boys in the school is 25% more than that of girls. If the number of boys is decreased by 20% and the number of girls is increased by 15%, then now the number of girls in the school is what percentage more than that of boys?

स्कूल में लड़कों की संख्या, लड़कियों की तुलना में 25% अधिक है। यदि लड़कों की संख्या में 20% की कमी की जाती है और लड़कियों की संख्या में 15% की वृद्धि की जाती है, तो अब स्कूल में लड़कियों की संख्या लड़कों की संख्या से कितने प्रतिशत अधिक है?

A. 18%
B. 21%
C. 15%
D. 27%
E. None of these

Option “C” is correct.

Let the number of boys in the school =5x

And the number of girls in the school=4x

The number of boys in the school is decreased by 20%=5x*4/5=4x

The number of girls in the school is increased by 15%=4x*115/100=23x/5

Required percentage=(23x/5-4x)/4x*100=3/20*100=15%

187. The ratio of the number of balls in A and B is 5:7. If the number of balls in B is increased by 20% and the number of balls in A and B together increased by 30%, then the total number of balls in A and B becomes 78. By what percent did the number of balls of A increase?

A और B में गेंदों की संख्या का अनुपात 5:7 है। यदि B में गेंदों की संख्या में 20% से वृद्धि हुई है तथा एक साथ A और B में गेंदों की संख्या में 30% से वृद्धि हुई है, फिर A और B में गेंदों की कुल संख्या 78 हो जाती है। कितने प्रतिशत से A में गेंदों की संख्या में वृद्धि हुई?

A. 40%
B. 44%
C. 48%
D. 52%
E. 56%

Option “B” is correct.

Initial total number of balls in A and B = 100/130 * 78 = 60

Number of balls in A = 60 * 5/12 = 25

Number of balls in B = 60 * 7/12 = 35

After increased the balls in B = 35 * 120/100 = 42

After increased the balls in A = 78 – 42 = 36

Required percentage = (36 – 25)/25 * 100

= (11/25) * 100

= 44%

188. Ratio of the number of shirts and T-shirts in the bag is 5:4. If the number of shirts in the bag is increased by 60% and the number of T-shirts in the bag is increased by 40, then the ratio of the number of shirts and t-shirts in the bag becomes 2:3. Find the initial number of T-shirts in the bag?

बैग में शर्ट और टी-शर्ट की संख्या का अनुपात 5:4 है। यदि बैग में शर्ट की संख्या में 60% की वृद्धि की जाती है और बैग में टी-शर्ट की संख्या में 40 की वृद्धि की जाती है, तो बैग में शर्ट और टी-शर्ट की संख्या का अनुपात 2:3 हो जाता है। बैग में टी-शर्ट की शुरुआती संख्या ज्ञात करें?

A. 16
B. 20
C. 24
D. 28
E. 32

Option “B” is correct.

(5x * 160/100)/(4x + 40) = 2/3

8x + 80 = 24x

x = 5

Number of T-shirt in the bag = 4 * 5 = 20

189. The monthly salary of Titus is Rs.1200 less than the monthly salary of Thomas. If the monthly salary of Titus is increased by 37.5% and Thomas is increased by 6.25% then the difference in their salary is 975, find 20% of the monthly salary of Titus and Thomas initially?

टाइटस का मासिक वेतन, थॉमस के मासिक वेतन से 1200 रुपये कम है। यदि टाइटस के मासिक वेतन में 37.5% की वृद्धि की जाती है और थॉमस में 6.25% की वृद्धि की जाती है, तो उनके वेतन का अंतर 975 है, प्रारंभ में टाइटस और थॉमस के मासिक वेतन का 20% ज्ञात कीजिए?

A. Rs.3080
B. Rs.3560
C. Rs.3240
D. Rs.3120
E. None of these

Option “D” is correct.

Let the monthly salary of Titus =X

The monthly salary of Thomas =X+1200

X*11/8-(X+1200)*17/16=975

11X/8-(17X+20400)/16=975

22X-(17X+20400) =15600

5X=15600+20400

X=36000/5

X=7200

Required value= (7200+8400)/5=15600/5=Rs.3120

190. The number of boys in a class is 12.5% more than the number of girls in the class. If the number of boys and girls in the class is increased by 20% and 25% respectively and then the total number of students in the class becomes 208, then find the total number of students in the class initially?

एक कक्षा में लड़कों की संख्या कक्षा में लड़कियों की संख्या से 12.5% अधिक है। यदि कक्षा में लड़कों और लड़कियों की संख्या में क्रमशः 20% और 25% की वृद्धि की जाती है और फिर कक्षा में छात्रों की कुल संख्या 208 हो जाती है, तो शुरू में कक्षा में छात्रों की कुल संख्या ज्ञात कीजिए?

A. 170
B. 110
C. 160
D. 150
E. None of these

Option “A” is correct.

Let the number of girls in the class=8x

And the number of boys in the class=8x*9/8=9x

9x*120/100+8x*125/100=208

10.8x+10x=208

x=10

The total number of students in the class initially=(9+8)*10=170

Pages: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

182 thoughts on “Percentage”

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