Aptitude Questions: Percentage Set – 13

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1. Cost Price of two laptops is same. One of the laptops is sold at a profit of 15% and the Selling Price of another one laptop is Rs. 3400 more than the first one. The net profit is 20%. What is the Cost Price of Each laptop?
   A.36000
   B.40000
   C.48000
   D.34000
   E.None of these
   
   Answer & Explanation

   D.34000
   Explanation:
   (2x*1.15) + 3400 = 2x*1.20
   2.4x – 2.3x = 3400
   x = 34000
   
   
2. In an office there are 40% female employees. 50% of the male employees are UG graduates. The total 52% of employees are UG graduates out of 1800 employees. What is the number of female employees who are UG graduates?
   A. 362
   B. 412
   C. 396
   D. 428
   E. None of these
   
   Answer & Explanation

   C. 396
   Explanation:
   Total employees = 1800
   female employees = 40%
   male employees = 60%
   50% of male employess = UG graduates = 30%
   Female employees who are UG graduates = 22%
   22% of 1800 = 396
   
   
3. Ravi got 70% in English and 56% in Biology and the maximum marks of both papers is 100. What percent does he score in Maths, if he scores 60% marks in all the three subjects?. Maximum Marks of Maths paper is 200.
   A. 30%
   B. 40%
   C. 45%
   D. 25%
   E. 57%
   
   Answer & Explanation

   E. 57%
   Explanation:
   70 + 56 + x = 60% of all three subjects
   70 + 56 + x = 60% of 400
   x = 240 – 126 = 114
   % = 114/200 * 100 = 57%
   
   
4. Ankita is 25 years old. If Rahul’s age is 25% greater than that of Ankita then how much percent Ankita’s age is less than Rahul’s age?
   A. 40%
   B. 35%
   C. 10%
   D. 20%
   E.None of these
   
   Answer & Explanation

   D. 20%
   Explanation:
   Percentage decrease = 25/125 * 100 = 20%
   
   
5. Mr.Ravi’s salary was reduced by 25% for three months. But after the three months, his salary was increased to the original salary. What is the percentage increase in salary of Mr.Ravi?
   A. 33.33%
   B. 42.85%
   C. 28.56%
   D. 16.66%
   E. None of these
   
   Answer & Explanation

   A. 33.33%
   Explanation:
   Percentage increase = 25/75 * 100 = 33.33%
   
   
6. In an election only two candidates A and B contested 30% of the voters did not vote and 1600 votes were declared as invalid. The winner, A got 4800 votes more than his opponent thus he secured 51% votes of the total voters on the voter list. Percentage votes of the loser candidate, B out of the total voters on the voter list is:
   A. 5.6%
   B. 3%
   C. 6.2%
   D. 5%
   E. 4.6%
   
   Answer & Explanation

   B. 3%
   Explanation:
   Total voters on the voter list = x
   0.51x + 0.51x – 4800 = 0.70x – 1600
   1.02x – 4800 = 0.70x – 1600
   x = 10000
   Votes of the loser candidate = 5100 – 4800 = 300
   Percentage votes of the loser candidate = 300/10000 * 100 = 3%
   
   
7. In a school there are 2000 students. On January 2nd, all the students were present in the school except 4% of the boys and on January 3rd, all the students are present in the school except 28/3% of the girls, but in both the days number of students present in the school, were same. The number of girls in the school is?
   A. 400
   B. 1200
   C. 800
   D. 600
   E. None of these
   
   Answer & Explanation

   D. 600
   Explanation:
   From Options;
   let Number of girls = 600
   Number of boys = 1400
   96% of 1400 + 600 = [600 – 28/3 % of 600] + 1400 = 1944[satisfies the condition; Check the condition with other options also]
   
   
   
8. A school has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 1200 from the parents of the students. The people already solicited represents the parents of 60% of the students. If the School is to raise exactly the amount needed for the new building, what should be the average donation from the remaining students to be solicited?
   A. Rs.800
   B. Rs.900
   C. Rs.850
   D. Rs.600
   E. Rs.720
   
   Answer & Explanation

   D. Rs.600 Explanation:
   Let the number of parents be x who has been asked for the donations.
   People already solicited = 60% of x = 0.6x
   Remaining people = 40% of x = 0.4x
   Amount collected from the parents solicited= 1200 *0.6x = 720x
   720x = 75%; Remaining amount = 25% = 240x
   Thus, Average donations from remaining parents = 240x /0.4x = 600
   
   
9. The monthly income of Shyama and Kamal together is Rs.28000. The income of Shyama and Kamal is increased by 25% and 12.5% respectively. The new income of Kamal becomes 120% of the new salary of Shyama. What is the new income of Shyama?
   A. Rs.12000
   B. Rs.18000
   C. Rs.14000
   D. Rs.16000
   E. Rs.15000
   
   Answer & Explanation

   E. Rs.15000
   Explanation:
   The monthly income of Shyama and Kamal => S + K = 28000 —(1)
   Shyama’s income = x; Kamal’s income = 28000 – x.
   K = 120/100 * S —(2)
   S’s new income = (28000 – x)*112.5/100
   K’s new income = x * 125/100
   (28000 – x)*112.5/100 = x * 125/100
   x = 12000
   New Income of Shyama = 125% of 12000 = 15000
   
   
10. 500 kg of ore contained a certain amount of iron. After the first blast furnace process, 200 kg of slag containing 12.5% of iron was removed. The percentage of iron in the remaining ore was found to be 20% more than the percentage in the original ore. How many kg of iron were there in the original 500 kg ore?
    A. 54.2
    B. 58.5
    C. 46.3
    D. 42.4
    E. 89.2
    
    Answer & Explanation

    E. 89.2.
    Explanation:
    Initially ‘x’ kg of iron in 500 kg ore.
    Iron in the 200 kg of removed =200*12.5/100= 25 kg.
    The percentage of iron in the remaining ore was found to be 20% more than the percentage in the original ore
    So (x-25)/300 = (120/100)*x/500
    => x – 25 = 18x/25
    => 7x = 625
    => x = 89.2