A number is erroneously multiplied by 5/3 instead of 3/5. Percentage error in calculation: MCQ with Answer and Explanation

A number is erroneously multiplied by 5/3 instead of 3/5. Percentage error in calculation:
A. 166.67%
B. 150%
C. 180%
D. 177.78%
Answer: Option D
Solution (By JKSSB Mock Tests)
Correct = (3/5)x, wrong = (5/3)x. % error = [(5/3 - 3/5)/(3/5)]×100 = (16/9)×100 ≈ 177.78%.

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Practice More Percentage Questions

Question #1
A person measured a line as 5.05 cm instead of its true length of 5.00 cm. What is the percentage error?
A. 1%
B. 2%
C. 0.5%
D. 1.5%

Correct Answer: Option A


Explanation:
Error = 5.05 - 5.00 = 0.05. % Error = (0.05 / 5.00) * 100 = 1%.

This question belongs to: Maths Percentage
Question #2
A student scored 30% marks and failed by 45 marks. Another scored 42% marks and got 45 more than pass. Pass marks:
A. 250
B. 270
C. 300
D. 225

Correct Answer: Option B


Explanation:
0.3M + 45 = 0.42M - 45 → 0.12M = 90 → M=750. Pass = 0.3×750+45 = 270.

This question belongs to: Maths Percentage
Question #3
The population of a town is 120000. It increases by 15% in the first year and decreases by 10% in the second year. What is the population after two years?
A. 123000
B. 125000
C. 126500
D. 124200

Correct Answer: Option D


Explanation:
120000 × 1.15 × 0.9 = 124200.

This question belongs to: Maths Percentage