A candidate who gets 20% marks in a examination fails by 30 marks but another candidate who gets 32% gets 42 marks more than the pass marks. Then the percentage of pass marks is :
A. 52%
B. 50%
C. 33%
D. 25%
Answer: Option D
Solution(By Examveda Team)
Let the maximum marks = xAccording to the question,
Case (i) pass marks = $$\frac{20x}{100}$$ + 30
Case (ii) pass marks = $$\frac{32x}{100}$$ - 42
Note : Pass marks would be same in both cases.
$$\frac{20x}{100}$$ + 30 = $$\frac{32x}{100}$$ - 42
$$\frac{12x}{100}$$ = 72
x = 600
Pass marks :
= 600 × $$\frac{20}{100}$$ + 30
= 150
Required percentage :
= $$\frac{150}{600}$$ × 100
= 25%
Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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