Important Theory / Shots Trick on Percentage
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Section 4
Section 5
Section 6
51. If (x + 20)% of 250 is 25% more than x% of 220, then 10% of (x + 50) is what percent less than 15% of x?
52. The ratio of expenditure to savings of a woman is 5 : 1. If her income and expenditure are increased by 10% and 20%, respectively, then find the percentage change in her savings.
53. A is 80% more than B and C is $$48\frac{4}{7}\% $$ less than the sum of A and B. By what percent is C less than A?
54. Rohit's income is Rs. 32000. If his expenses is 30 percent of total income, then what will be the saving of Rohit?
55. The price of petrol shot up by 5%. Before the hike, the price was Rs. 82 per litre. A man travels 3045 km every month and his car gives a mileage of 15 km per litre. What is the increase in the monthly expenditure (to the nearest Rs.) on the man's travel due to the hike in the petrol prices?
56. If each edge of a cube is increased by 10% then the percentage increase in its surface area is:
57. If the numerator of a fraction is increased by 15% and denominator is decreased by 20%, then the fraction, so obtained, is $$\frac{{17}}{{65}}.$$ What is the original fraction?
58. In a two-candidate election, 10% of the voters did not cast their ballots. 10% of the votes cast were found invalid. The winning candidate received 54% of the valid votes and a 1620-vote majority. Find the number of people on the voter list who have registered to vote.
59. If the sum of 40% of a number and 30% of the same number is 70, then the number is:
60. Two candidates P and Q contested in an election. 70% of the registered voters are P supporters. If 60% of the P supporters and 30% of the Q supporters are expected to vote for candidate P, then what percentage of the registered voters are expected to vote for candidate P?
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