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Question Detail
If x% of y is 100 and y% of z is 200, then find the relation between x and z.
- z = x
- 2z = x
- z = 2x
- None of above
Answer: Option C
Explanation:
It is , y% of z = 2(x% of y)
=> yz/100 = 2xy/100
=> z = 2x
1. A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction
- 9%
- 10%
- 11%
- 12%
Answer: Option A
Explanation:
Actual Price = Rs.25 + Rs.2.50 = Rs.27.5
Saving = Rs.2.5
\begin{aligned}\text{Percentage Saving = }\dfrac{2.5}{27.5}\times 100 \\
= \dfrac{250}{27.5} = \dfrac{2500}{275}\\
= \dfrac{100}{11} = 9\dfrac{1}{11}\% \approx 9\%\end{aligned}
2. 1/2 is what percent of 1/3
- 150%
- 200%
- 250%
- 300%
Answer: Option A
Explanation:
1/2/1/3 * 100 = 1/2 * 3/1 * 100 = 150 %
3. If sales tax is reduced from 5% to 4%, then what difference it will make if you purchase an item of Rs. 1000
- 10
- 20
- 30
- 40
Answer: Option A
Explanation:
Clue: Answer will be 5% of 1000 - 4% of 1000
4. In an examination, 34% of the students failed in mathematics and 42% failed in English. If 20% of the students failed in both the subjects, then find the percentage of students who passed in both the subjects.
- 40%
- 42%
- 44%
- 46%
Answer: Option C
Explanation:
Failed in mathematics, n(A) = 34
Failed in English, n(B) = 42
\begin{aligned}
n(A\cup B) = n(A)+n(B)-n(A\cap B) \\
= 34+42-20 = 56 \\
\text{Failed in either or both subjects are 56} \\
\text{Percentage passed = }(100-56)\% \\
= 44\%
\end{aligned}
5. Out of 450 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?
- 75
- 100
- 125
- 150
Answer: Option B
Explanation:
Students who play cricket, n(A) = 325
Students who play football, n(B) = 175
Total students who play either or both games,
\begin{aligned}
= n(A\cup B) = 450-50 = 400\\
\text{Required Number}, n(A \cap B) \\
= n(A)+n(B)-n(A\cup B) \\
= 325 + 175 - 400 = 100
\end{aligned}
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