Exercise B
1. A motorist decreases his distance covered annually (in km) by 10% when the price of petrol is increased by 3%. Find the percentage change in petrol bill.
2. The rate of increase of the price of rice is observed to be 3 per cent more than the inflation rate expressed in percentage. The price of rice on January 1, 2008 is Rs. 25/kg. The inflation rates of years 2008 and 2009 are expected to be 13% each. The expected price of rice on January 1, 2010 would be.
3. Ganesh can buy 40 oranges or 50 mangoes. He retains 10% of the amount for bus fares and buys 20 oranges and of the balance. How many mangoes can he purchase ?
4. Raju bought 5 erasers, 4 pencils and 7 pens. Sonali bought 9 pens, 10 erasers and 8 pencils for an amount which was half more what Raju had paid. What per cent of the total paid by Raju were paid for the pens ?
5. In a survey of children education, 90% of those asked are in the favour of at least one of the proposal : I, II and III, 48% of those asked favoured proposal I, 36% favoured proposal II and 16% favoured, proposal III. If 5% of those asked favoured all three of the proposals. What percentage of those asked favoured more than one of the three proposals ?
6. Jyoti took five papers in an examination where the full marks were for each paper, her marks in these papers were in proportion of 2 : 3 : 4 : 5 : 6. In all papers together, the candidates obtained 50% of the total marks then what is the number of papers in which she got more than 40% marks ?
7. One bacteria splits into eight bacteria of the next generation. But due to unfavorable conditions only 25% of one generation can produce the next generation. If the fourth generation number is 64 millions. What is the number in first generation ?
8. Sixty per cent of the employees of a TCS company are men and 40% of them are earning more than Rs. 40,000 per year. If 40% of the company’s employees earn more than Rs. 40,000 / year. What fraction of the women employed by the company earn Rs. 40,000 /year ?
9. In a factory there are four types of machines x, y, z and A which produces 10%, 20%, 75% and 25% of the total products respectively. Machines x, y, z and A produces 1%, 4%, 5% and 6% defective products respectively. What is the percentage of non-defective products ?
10. Each edge of a cube is increased by 25%, then the percentage increase in surface area of the cube is ?
11. The boys and girls in a college are in the ratio 4 : 5. If 40% of boys and 35% of the girls are adults, the percentage of students who are not adults is ?
12. Given series is 1 + 4 + 9 + 16 + 25 + 36 + ………. . What is the percentage of 10th term relative to 15th term ?
13. A driver reduces his distance covered annually (in km) by 25% when the price of petrol is increased by 5%. Find the per cent increase/ decrease in his annual petrol bill ?
14. In an election 8% of the people in the voter’s list did not participate and 48 votes were declared invalid. There are only two candidates Shyam and Krishna. Shyam defeatedKrishana by 440 votes. It was found that 60% of the people listed in the voter’s list voted for Shyam. Find the total number of votes polled.
15. The rate of increase of the price of coal is observed to be five per cent more than the inflation rate expressed in %. The price of coal, on March 4, 2008 is Rs. 100 / tonnes. The inflation rates of years 2008 and 2009 are expected to be 10% each. Find the expected price of coal on March 4, 2009.
16. The number of votes not cast for the Samata Party increased by 20% in the general election over those not cast for it in the previous assembly polls and the Samata Party lost by a majority thrice as large as that by which it had won the assembly polls. If a total 3,60,000 people voted each time, how many voted for the Samata Party in the previous assembly polls ?
17. Gita buys 25 red pens or 50 blue pens. She retains 20% for autorikshaw as fares and buys 10 red pens and of the balance. She purchases blue pens. What is the number of blue pens she can purchase ?
18. Raj Shekhar bought 3 books, 4 pencils and 5 chocolates while Sonali bought 12 books, 16 pencils and 16 chocolates for an amount which was thrice and half more what Raj Shekhar had paid ? What percentage of the total paid by Raj Shekhar was paid for chocolates ?
19. In a survey of political preferences, 80% of those asked were in favour of at least one of the proposals I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II and 20% favoured proposal III. If 4% of those asked favoured all three of the proposals, what percentage of those asked favoured more than one of the three proposals ?
20. Riya took five proposals in an examination where the full marks were for each paper her marks in these papers were in proportion of 4 : 3 : 5 : 6 : 7. In all papers together, the candidates obtained 60% of the total marks. Then what is the number of papers in which she got more than 50% marks ?
21. Mr. Ivan Royston is working in the Max New York Life Insurance (MAX). He was hired on the basis of commission and he get the bonus only on the first years commission. He got the policies of Rs. 4 lakh having maturity period of 10 years. His commission in the first, second, third, fourth, and for the rest of the years is 25%, 20%, 10%, 8% and 5% respectively. The bonus is 30% of the commission. If annual premium is Rs. 40,000, then what is his total commission if the completion of the maturity of all the policies in mandatory ?
22. A person gives 20% to his wife and 15% of the remaining to a hospital (as a donation) again 10% of the remaining to Prime Minister’s RetiredFund. Then he has only Rs. 8,400 with him. What was the initial sum of money with that person ?
23. Find the percentage of the quantity 13 + 23 + 33 + 43 + 53 with respect to 13 + 23 + 43 + 53 + 63 + 73 .
24. If a cone and a cylinder have the same height and radius. What is the percentage difference in volume of cone relative to cylinder ?
25. A resistor of length l and cross sectional area A. If it is cut in four part across the length. Find the % change in resistance of the resistor.
26. A wire of length l and cross-sectional area A. If its length increase by 20% and its cross-sectional area increases by 10%. Find the percentage change in the resistance of the wire.
27. A box of wood of thickness 2 cm. If outer dimensions of the box 24 × 20 × 16 cm3 . How much per cent of air occupied inside the box ?
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