Percentage SSC-Maths (Part-8)

Total Questions: 37

21. At a recruitment test, the candidates were tested for General Awareness (GA) and Quantitative Techniques (QT). 54% and 45% failed in GA and QT, respectively, while 16% failed in both. If 136 candidates passed in both, what was the total number of candidates?  [SSC MTS 18/10/2021 (Evening)]

Correct Answer: (a) 800
Solution:

22. When the price of sugar gets raised by 30%, a person increases his expenditure on sugar by 12%. By what percentage (correct up to two decimal places) should he reduce his consumption of sugar so as to be able to maintain the same level of expenditure? [SSC MTS 20/10/2021 (Afternoon)]

Correct Answer: (b) 13.85%
Solution:

23. By what percentage is the percentage of the number of vowels in the word CONSONANT less than the percentage of consonants in it? [SSC MTS 02/11/2021 (Evening)]

Correct Answer: (d) 50
Solution:

24. Chamanlal, Arshad and Jagjit Singh contested an election. All the votes polled were valid. Arshad got 35% of the total votes. For every 35 votes Chamanlal got 14 votes. The winner got 4950 more votes than the person who received the least number of votes. Find the total number of votes polled. [SSC CGL 16/08/2021 (Afternoon)]

Correct Answer: (d) 33000
Solution:

25. If a number is first increased by 15% then reduced by 15%, it results in 782. If the same number is first reduced by 25%, then increased by 25% and again reduced by 20%, then what will be the resulting number? [SSC CGL 16/08/2021 (Evening)]

Correct Answer: (d) 600
Solution:

26. In a class the ratio of rural to urban students is 4:7. In an examination the average percentage marks of the rural and the urban students are respectively 65 and 63. What is the overall average percentage marks of the class (correct to two decimal places)? [SSC CGL 17/08/2021 (Afternoon)]

Correct Answer: (c) 63.73%
Solution:

27. Rajan spent 10% of his salary on rent. He spent 20% of the remaining part of the salary on transport. After which he spent 40% of the balance of the salary on food. Further, he spends 80% of the balance on various bills. He deposits Rs.5000 in the bank and kept the remaining Rs.1480 for his own petty expenditure. Find the monthly salary (in Rs). [SSC CGL 17/08/2021 (Afternoon)]

Correct Answer: (a) 75000
Solution:

28. A sports-goods shop has tennis balls of 3 colours red, green and white. The number of white balls is 60% more than the number of red balls and the number of green balls is 12.5% less than the number of white balls. If the total number of balls is 120, then how many green balls are there?. [SSC CGL 17/08/2021 (Evening)]

Correct Answer: (d) 42
Solution:

Let, the Red balls = 100 units
So, white balls = 160 units
Total = 100 + 160 + 140 = 400 units
400 units = 120
No, of green balls (140 units) = 42

29. The present population of a village is 15280. If the number of males increases by 25% and the number of females increases by 15%, then the population will become 18428. The difference between the present population of males and females in the village is: [SSC CGL 20/08/2021 (Afternoon)]

Correct Answer: (a) 1840
Solution:

Population of male = M
Population of females = F
M + F = 15280 ------ e.q. (1)
125% of M + 115% of F = 18428
25M + 23F = 368560 ------- e.q. (2)
Apply → e.q.(1) × 25 - e.q. (2)
2 F = 13440 ⇒ F = 6720
Difference = 8560 - 6720 = 1840
Short Trick: -
If both males and females increased by 15% then the population = 17572
But population is 18428 due to 10% extra increase in males population
Difference in population = 18428-17572 = 856
10% of male population = 856
Total male population (100%) = 8560
Total female population = 15280 - 8560 = 6720
Difference between males and females →8560-6720 = 1840

30. Price of a one gram gold coin decreased by 10% on its initial price on Monday and increased by 20% on Tuesday and again increased by 8% on Wednesday, and 5% increase on Thursday. If the final price on Thursday is Rs.5511.24, then the initial price (in Rs.) of one gram gold coin on Monday was? [SSC CGL 20/08/2021 (Evening)]

Correct Answer: (a) 4500
Solution: