## PERCENTAGE & RATIO PROPORTION SET12

Q.1 A cloth merchant has announced 25% rebate in prices. If one needs to have a rebate of $40, how many shirts costing $32 each should he purchase? A) 2 B) 5 C) 10 D) 18 Ans. B C.P. of one shirt = $32 Rebate on one shirt = 0.25 × 32 = $8 To get a rebate of $40, number of shirts to be bought = = 5 Q.2 750 candidates appeared in an examination. 70% of the girls and 65% of the boys passed the examination. If total pass percentage was 67%, find the number of boys that appeared in the examination. A) 400 B) 430 C) 440 D) 450 Ans. D Apply the Rule of Alligation- 70 65 67 2 3 Thus, ratio is: 2:3 Since we have to find boys, then = 3/5 * 750 = 450 Q.3 An employer reduces the number of employees by th and increases their wages by th. What is the ratio of the total wages paid to the employees before the hike and after that? A) 10.0 : 11 B) 11.0 : 10 C) 10.5 : 10 D) 10.5 : 12 Ans. C Let the initial number of employees = n New number of employees = n Let initial wages = x New wages = x ? Ratio of total wages before and after the change = (nx) : = 21 : 20 = 10.5 : 10 Q.4 Aman’s salary is 25% higher than that of Balraj’s. By how much percent is Balraj’s salary lower than that of Aman’s? A)25% B)20% C)15% D)10% Ans. B Let Balraj’s salary be Rs.100 Aman’s salary will be Rs.125 A – B = 125 – 100 = 25 B’s salary is ( ) 100 = 20% Q.5 If the price of sugar goes up by 10%, what should be the percentage reduction in the quantity consumed so that the total expenditure on sugar remains the same? A) 10 % B) 9 % C) 8 % D) 7 % Ans. B Percentage reduction in quantity consumed = × 100 = × 100 = % = 9 % Q.6 In Lok Sabha elections there are two candidates-A & B contesting from North delhi seat. 3/5th of the people promise to vote for A, & the rest promise to vote for B. If 10% of the people who promised to vote for A did not vote & 20% of the people who promised to vote for B did not vote. If B got 6400 votes, how much was the margin of victory for A ? A) 5500 B) 8800 C) 4400 D) 4000 Ans. C Let total votes be X, It is given 3/5th of people =i.e. 3/5*100=60% (Here we have considered people be 100) Now, 10% of the people who promised to vote for A did not vote Then, People voted for A= 60% of x-10% of 60% of x = 0.54 x People voted for B= 40% of x – 20 % of 40 % of x = 0.32 x Now find margin victory for A= i.e. 0.54-0.32= 0.22 x Then, acc to question If B got 6400 votes 0.32x (calculated value of B)= 6400 X= 20000 how much was the margin of victory for A ? i.e. 0.22 (Calculated value of A)=0.22*20000=4400 Votes Q.7 Out of 54600 candidates for an examination, 35% failed to pass while 15% passed with honours. Find the number of candidates who passed the examination but failed to obtain honours. A) 43680 B) 35990 C) 27300 D) None of these Ans. C Total Candidates = 54600 %age of the candidates who failed to pass and who passed with honours (35% + 15%) = 50% %age of candidates who passed but failed to obtain honours. (100 – 50%) = 50% 50 % of 54600 = 27300

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