# Percentages + rational numbers - math problems

1. The fastest The fastest boat can reach speeds more than 710% as fast as the Queen Mary 2. How would you express this number as a fraction and as a decimal?
2. Percent to number To increase that number by 5 percent, we need to multiply it by:
3. Unions now The plant has 1,250 employees. The Trade Unions (former ROH, OH) is 18% male, 23% female. Plant management reported that in the trade union is 20% of all employees. How many men and women are in plant and how many are men and women in trade unions?
4. Positive number z Positive number z is 10% greater than the number y. How many % is y smaller than z? Report the result rounded to one decimal place.
5. Bureaucracy The office was attended by 23 people. 9 of them completed the questionnaire. What is the percentage of all people?
6. Price of state Estimate the cost of the state based on following reason. State price is expressed as a percentage respectively share in the redistribution of national GDP. Employee creates monthly value € 868 (super-gross wage).Then tax him 35.2% employer contribution Number 839 divide into the two addends that the first was 17 greater than 60% of the second. Determine these addends.
8. Rising price The book first become more expensive by 5 euros. New price was later increased by 8%. After the second price increase book cost 46 euros. What was the original price of the book?
9. Efficiency A certain device consumes 28 kW and delivers 14 kW. Find its efficiency.
10. VAT John paid 100 Euros in store for purchase. Calculate value added tax (VAT), which paid in purchase, if the VAT rate is 20%.
11. Negative percentage In 2004, the company had a loss of 40900 Euros. Two years later he was already in profit 48900 Eur. Calculate what percentage of the company increased profits in this two years.
12. Percentages above 100% What is 122% of 185? What is the meaning of percentages above 100%?
13. Tare Gross weight of shipment is 6927 kg and its tare is 7%. Calculate the net weight of the shipment.
14. Bonus Gross wage was 527 EUR including 16% bonus. How many EUR were bonuses?
15. Alcohol How many 55% alcohol we need to pour into 14 liters 75% alcohol to get p3% of the alcohol? How many 65% alcohol we get?
16. Sea water Mixing 62 kg of sea water with 84 kg rainwater is created water containing 3.1% salt. How many percent sea water contains salt?
17. Tape Video is 153% more expensive than tape recorder. How many percent is tape recorder less expensive than video?
18. Discount Ladies sweater was twice discounted. First by 11%, then by 11% of the new price. Its final price was 100 €. Determine the original price of sweater.
19. Four pupils Four pupils divided \$ 1485 so that the second received 50% less than the first, the third 1/2 less than a fourth and fourth \$ 154 less than the first. How much money had each of them?
20. Peroxide How much distilled water (in liters) must pharmacists pour into 300 ml of 23.6% solution of hydrogen peroxide to get 2.7% solution to gargle?

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