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Question Detail
2.09 can be expressed in terms of percentage as
- 2.09%
- 20.9%
- 209%
- 0.209%
Answer: Option C
Explanation:
While calculation in terms of percentage we need to multiply by 100, so
2.09 * 100 = 209.
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. In expressing a length of 81.472 km as nearly as possible with the three significant digits, find the percentage error
- 0.35%
- 0.34%
- 0.034%
- 0.035%
Answer: Option C
Explanation:
Error = (81.5 - 81.472) = 0.028
Required percentage = \begin{aligned}
\frac{0.028}{81.472} \times 100 = 0.034 %
\end{aligned}
3. 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}
4. 10% of inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants let the village. The population is then reduced to 4050. Find the original inhabitants
- 5500
- 6000
- 6500
- 7000
Answer: Option B
Explanation:
Let the total number is x,
then,
(100-25)% of (100 - 10)% x = 4050
=> 75% of 90% of x = 4050
=> 75/100 * 90/100 * x = 4050
=> x = (4050*50)/27 = 6000
5. One fourth of one third of two fifth of a number is 15. What will be40% of that number
- 140
- 150
- 180
- 200
Answer: Option C
Explanation:
(1/4) * (1/3) * (2/5) * x = 15 then x = 15 * 30 = 450
40% of 450 = 180
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