Percentage SSC-Maths (Part-3)

Total Questions: 50

11. When a number is increased by 8, it becomes 120% of itself. The number is: [SSC CHSL 02/07/2024 (2nd Shift)]

Correct Answer: (d) 40
Solution:

Let numner be x
According to the question,
x + 8 = 6x/5
5x + 40 = 6x ⇒ x = 40

12. From the salary of a software engineer, if 15% is used as house rent, 25% of the remaining is spent on household items, 25% of the remaining as income tax, and 15% of the remaining on clothing, then he is left with ₹10,404. Find his total salary. [SSC CHSL 02/07/2024 (2nd Shift)]

Correct Answer: (a) ₹25,600
Solution:

13. The price of an article is first increased by 40% and then decreased by 45%, due to reduction in sales. Find the net percentage change in the final price of the article. [SSC CHSL 02/07/2024 (3rd Shift)]

Correct Answer: (a) -23%
Solution:

14. What is the number which needs to be added to 20% of 460 to have the sum as 70% of 920? [SSC CHSL 02/07/2024 (3rd Shift)]

Correct Answer: (d) 552
Solution:

15. In an election between two candidates, one got 65% of the total valid votes. 20% of the votes were invalid. If the total number of votes was 7,500, the number of valid votes that the other candidate got was: [SSC CHSL 02/07/2024 (4th Shift)]

Correct Answer: (c) 2,100
Solution:

Total number of votes = 7500
Total number of valid votes = 7500 × 80% = 6000
Required number of votes = 6000 × (35/100) = 2100

16. A man spends 35% of his monthly income on food and four-thirteenths of the remaining income on transport. He incurs some other expenses, but also saves Rs.6,300 per month, the latter being equal to 20% of the balance remaining just after spending on food and transport. What is his monthly income (in Rs.)? [SSC CHSL 02/07/2024 (4th Shift)]

Correct Answer: (d) 70,000
Solution:

17. In an election between two candidates, a candidate who gets 78% of the votes is elected by a majority of 448 votes. What is the total number of votes polled? [SSC CHSL 03/07/2024 (1st Shift)]

Correct Answer: (a) 800
Solution:

Votes received by the candidate who lost the election = 100 - 78 = 22% vote
Difference in votes = 78 - 22 = 56% (difference) 56% = 448
Total votes (100%) = (448/56) × 100 = 800

18. Ramana spends 75% of his income. His income is increased by 25% and he increases his expenditure by 10%. By what percentage are his savings increased? [SSC CHSL 03/07/2024 (2nd Shift)]

Correct Answer: (d) 70%
Solution:

19. A person wants to buy 10 chairs. The total cost of 10 chairs is ₹4,500. After bargaining, the shopkeeper agrees to decrease the cost of each chair by 20%. Then, the person purchased 10% more chairs. What will be the cost of the chairs that he purchased? [SSC CHSL 03/07/2024 (2nd Shift)]

Correct Answer: (a) ₹3,960
Solution:

Cost of 1 chair = 4500/10 = 450
Cost of 1 chair after 20% decrement = 450 × 80% = 360
Number of chairs purchased = 10 × 110% = 11
Total cost of chairs that he purchased = 360 × 11 = ₹3960

20. A fraction 3/5 is decreased by 2/5. The resulting fraction is then increased by 20%. What is the percentage decrease/increase in the value of the original fraction? [SSC CHSL 03/07/2024 (2nd Shift)]

Correct Answer: (c) Decrease, 60%
Solution: