Percentage Level-3 Quiz-3

1. In 2018, a poultry firm had a total of 41500 birds of two types – hens and ducks. In 2019, the poultry had a total of 45755 birds of these two types. During this period, there was 37% increase in the number of hens while there was 23% decline in the number of ducks. How many ducks were there in the poultry in 2019?

2. The distance between Krishnanagar and Kolkata is 120 km, which is covered by a bus in 3 hours. Part of the road is damaged due to torrential rains, as a result of which, the speed of the bus reduces to 75% of its normal speed on that part of the road. Because of this reason, the bus takes 18 minutes more to cover the whole distance between Krishnanagar and Kolkata than the usual time taken. Last week there were some more rains, because of which some additional portion of the road got damaged. Now the bus took 24 minutes more than the usual time taken to cover the whole distance. How much more portion of the road (in terms of km) got damaged due to the rains last week?

3. Out of all employees of a company, 30% of the employees earn Rs. 45000 per month, while remaining employees earn Rs. 30000 per month. Out of female employees, number of employees earning Rs. 30000 per month is twice the number of female employees earning Rs. 45000 per month. Equal number of male and female employees earn Rs. 45000 per month. What percent of the total employees is the male employees earning Rs. 30000 per month?

4. The cost of rice of type A and B rose by 10% and 8% respectively in the month of October. In the month of October, a customer bought 10 kg and 25 kg of rice of type A and type B respectively such that the amount spent on A in September was equal to that spent on A in October, and the same was true for B as well. How much total quantity of rice (i.e. type A and type B taken together) the customer must have purchased in September (in kg)?

5. In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.

6. How many kg of pure salt must be added to 30kg of 2% solution of salt and water to increase it to a 10% solution?

7. There are three sections of  V class and 40% students of each section are girls. If the school admits 13 new students to each of the three sections of Std. V class and all the new students admitted are girls, the new number of girls in the three sections taken together becomes 60% of the original strength of the V class (i.e. the three sections taken together). What was the total strength of V class?

8. Ashish bought a TV and a Washing Machine for Rs. 10000 and Rs. 20000 respectively. He marks up the price of TV by 25% and sells it. On the marked up price of the washing machine, he gave a discount of 25%. If the profit earned in both the transactions is equal, by how much percent does he mark up the price of the Washing Machine?

9. There are 3 cups of equal volume containing Copper Sulphate solution. Each cup is filled at least up to 50% of its volume. The concentrations of the solutions in the three cups are 40%, 50% and 60% respectively. If the solutions of these three cups are emptied in a big bowl and mixed properly, what can be the minimum and maximum concentration of Copper Sulphate in the resulting solution?

10. What quantity, in litres, of a solution of acid and water in the ratio 7 : 9 should be mixed with 15 litres of another solution having acid-water ratio 7 : 5 in order to get a 50% solution of acid?