# PE 4 - Percentage | Arithmetic - Percentage

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**PE 4 - Percentage | Arithmetic - Percentage**

The number of votes not cast for the PJB increased by 30% in the 2023 MP Assembly elections over those not cast for it in the 2018 Assembly elections, and the PJB lost by a majority thrice as large as that by which it had won the 2018 Assembly Polls. If a total of 4,30,000 people voted each time, how many voted for the PJB in the 2018 Assembly Elections?

Answer: 230000

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**PE 4 - Percentage | Arithmetic - Percentage**

There are four sections A, B, C and D in a school. If the percentage of students passing in sections A, B and C is 40%, that of sections A, B, D is 45%, that of A, C, D is 50% and that of B, C, D is 55% then which of the following cannot be the pass percentage of sections A, B, C and D combined together.

- (a)
45.66%

- (b)
49.85%

- (c)
51.3%

- (d)
47.28%

Answer: Option C

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**PE 4 - Percentage | Arithmetic - Percentage**

After the elections, a firm conducted a survey. Exactly 3% of the male voters said they had voted for candidate A, while exactly 47% of the female voters said they had voted for candidate A. If in total, exactly 19% of the people said they had voted for the Candidate. What is the minimum number of people who were surveyed?

Answer: 1100

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**PE 4 - Percentage | Arithmetic - Percentage**

The daily % increase in the population of bacteria in a colony increases by 10% points every day. On the first day, the population of bacteria increases by 20%. Find the increase in the number of bacteria on the 2^{nd} day, if there were 1872 more bacteria at the end of the 3^{rd} day compared to the end of the 2^{nd} day.

Answer: 1080

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**PE 4 - Percentage | Arithmetic - Percentage**

Roomesh bought 5 pens, 7 pencils and 4 erasers. Priya bought 6 pens, 8 erasers and 14 pencils for an amount which was half more what Roomesh paid. What % of the total amount paid by Roomesh was for the pens?

- (a)
37.5%

- (b)
62.5%

- (c)
50%

- (d)
None of these

Answer: Option B

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**PE 4 - Percentage | Arithmetic - Percentage**

Vishal went to market with some money. With this money, he could buy either 50 oranges or 40 mangoes. He retained exactly 10% of the money for taxi fare. If he bought 25 mangoes, then maximum how many oranges can he buy?

- (a)
25

- (b)
16

- (c)
20

- (d)
None of these

Answer: Option D

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**PE 4 - Percentage | Arithmetic - Percentage**

Population of sheep in a farm at the beginning of the year was 1,25,000. The population of sheep increased by x% on 1st of every month and decreased by y% on 20th of every month. At the end of the year, there were 1,25,000 sheep in the farm. Which of the following is true.

- (a)
x = y

- (b)
x > y

- (c)
x < y

- (d)
Cannot be determined

Answer: Option B

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**Answer the next 2 questions based on the information given below.**

A shopkeeper sells only three types of items - pencil, sharper and eraser. On Monday morning, of the total items he had in the shop, 30% were pencils. On Monday he sold 40% pencils, 160 sharpners and 30% erasers. On Monday, he ends up selling 40% of items that he had in the morning.

**PE 4 - Percentage | Arithmetic - Percentage**

What is the least number of items he could have had on Monday morning?

Answer: 650

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**PE 4 - Percentage | Arithmetic - Percentage**

What is the lowest amount of sharpners he could have had on Monday morning?

Answer: 165

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**PE 4 - Percentage | Arithmetic - Percentage**

Achal went on a 20 day trip to Europe and took certain amount with him to meet his expenses. On the first day of the trip he spent 5% of the amount he had. On second day he spent 10% of the remaining amount, on the third day he spent 15% of the remaining amount and so on. When Achal came back to India, what is the percentage of initial amount that he would bring back with him?

Answer: 0

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