Quantitative Aptitude: Data Interpretation Questions Set 143

Directions(1-5): There are total x tourists in a area. Each tourists visit one or more places among three places viz. Mahabalipuram, Goa and Agra. 20% of the total tourists visit only Mahabalipuram, which is equal to the tourists visit only Goa. 60% of the total tourists who visit only Mahabalipuram is the tourists who visit Mahabalipuram and Agra but not Goa. The tourists who visit Goa and Agra but not Mahabalipuram is 25% of the total tourists who visit Only Goa and Only Mahabalipuram together. 5% of the total tourists visit all the three places and the ratio of the number of tourists visit only Agra to that of the tourists who visit Goa and Mahabalipuram but not Agra is 5: 6. The difference between the tourists visit only Agra and the tourists visit Mahabalipuram and Goa but not Agra is 36.

1. Total tourists who visit only Agra is what percentage of the total tourists who visit only Mahabalipuram?
   
   70
   75
   80
   85
   90
   Option B
   Total tourists in a area is x
   Tourists visit only Mahabalipuram = 20%
   Tourists visit only Goa = 20%
   Tourists visit Mahabalipuram and Agra but not Goa = 60% of 20
   = 3/5 * 20 = 12%
   Total tourists visit only Goa and only Mahabalipuram = 20% + 20% = 40%
   Tourists visit Goa and Agra but not Mahabalipuram = 25% of 40
   = ¼ * 40 = 10%
   Tourists visit all the three places = 5%
   Remaining tourists = 100% – (20% + 20% + 12% + 10% + 5%)
   = 100% – 67% = 33%
   Tourists visit only Agra = 33% * 5/11 = 15%
   Tourists visit Mahabalipuram and Goa but not Agra = 33% – 15% = 18%
   Difference between the tourists visit only Agra and the tourists visit Mahabalipuram and Goa but not Agra = 18% – 15% = 3%
   3% of total tourists = 36
   Total tourists = 36/3 * 100 = 1200
   
   Required percentage = 180/240 * 100
   = ¾ * 100 = 75%
   
   
    



2. Find the total tourists who visit at most one place
   550
   770
   660
   440
   330
   Option C
   Required total = (20% + 20% + 15%) * 1200
   = 55/100 * 1200
   = 660
   
   
    



3. What is the ratio of the total tourists who visit Mahabalipuram and Agra but not Goa to the total tourists who visit Mahabalipuram and Goa but not Agra?
   2: 3
   2: 7
   2: 5
   2: 9
   5: 3
   Option A
   Required ratio = 144: 216
   = 2: 3
   
   
    



4. Find the total tourists who visit Agra
   500
   501
   502
   503
   504
   Option E
   Required total = (15% + 5% + 12% + 10%) * 1200
   = 42/100 * 1200
   = 504
   
   
    



5. Find the total tourists who visit at least two places
   520
   530
   540
   550
   560
   Option C
   Required total = (18% + 12% + 10% + 5%) of 1200
   = 45/100 * 1200
   = 540
   
   
    


Directions (6-10): Four friends (F1, F2, F3 and F4) are started a shop together by sharing the amount of Rs. 20000, Rs. 30000, Rs. 50000 and Rs. 60000 respectively. After 4 months, F1 and F3 increased the initial sharing 20 % and 40 % respectively. At the end of the year, they earned a total profit of Rs. 171600.
The friend A and B borrows F1 and F3’s share. They are giving 8 % simple interest for 4 years.
The friend C borrows F2’s total amount for 2 years at the rate of 6 % compound interest.

6. Find the sum of the total amount, friend A and B have to pay for the friend F1 and F3?
   
   Rs. 110600
   Rs. 11082
   Rs. 1106
   Rs. 10682
   Rs. 110682
   Option
   [20000 * 4 + 20000 * (120/100) * 8] : [30000 * 12] : [50000 * 4 + 50000 * (140/100) * 8] : [60000 * 12]
   = > 272000 : 360000 : 760000 : 720000
   = > 34 : 45 : 95 : 90
   Total profit = 264’s = Rs. 171600
   1’s = 650
   share of F1 = Rs. 22100
   share of F2= Rs. 29250
   share of F3= Rs. 61750
   share of F4= Rs. 58500
   The friend A borrows Rs. 22100 from the friend F1. So, the principle amount will be Rs. 22100.
   SI for friend A = PNR/100
   = > (22100 * 4 * 8) / 100 = Rs. 7072
   Total amount, the friend F1 has received = 22100 + 7072 = Rs. 29172
   The friend B borrows Rs. 61750 from the friend F3. So, the principle amount will be Rs. 61750.
   SI for friend B = (61750 * 4 * 8)/100 = Rs. 19760
   Total amount, the friend F3 has received = 61750 + 19760 = Rs. 81510
   Required sum = 29172 + 81510 = Rs. 110682
   
   
   
    



7. Find the average share of F1 and F4 together at the end of the year of shop?
   Rs. 60300
   Rs. 40700
   Rs. 40560
   Rs. 40590
   Rs. 40300
   Option E
   The average share of F1 and F4 together at the end of the year of shop
   = > (22100 + 58500) / 2
   = > 80600 / 2 = Rs. 40300
   
   
    



8. Find the interest amount, the friend A have to paid for the friend F1?
   Rs. 7072
   Rs. 6072
   Rs. 7067
   Rs. 7000
   Rs. 7052
   Option A
   The friend A borrows Rs. 22100 from the friend F1. So, the principle amount will be Rs. 22100.
   SI = PNR/100
   SI = (22100 * 4 * 8)/100 = Rs. 7072
   
   
    



9. The profit of friend F2 is approximately what percentage of the total amount (Initial sharing + Profit), the friend F4 received at the end of the year of shop?
   25 %
   20%
   12 %
   10%
   23%
   Option A
   The profit of friend F2 = Rs. 29250
   The total amount (Initial sharing + Profit), the friend F4 received at the end of the year of shop
   = > 60000 + 58500 = Rs. 118500
   Required % = (29250 / 118500) * 100 = 24.68 % = 25 %
   
   
    



10. Find the compound interest, friend C has to pay for the friend F2?
    Rs. 723.30
    Rs. 7323.30
    Rs. 7300.30
    Rs. 7823.30
    Rs. 8323.30
    Option B
    The friend C borrows Rs. 59250 from friend F2. So, the principle amount will be Rs. 59250.
    Total amount = 59250 * (106/100) * (106/100) = Rs. 66573.30
    CI = 66573.30 – 59250 = Rs. 7323.30