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Data Analysis and Sufficiency Test - 9

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Data Analysis and Sufficiency Test - 9
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  • Question 1
    1 / -0.25

    Directions For Questions

    Direction: Study the following table carefully and answer the given questions.

    The following table contains information about seven mixtures of milk and water and some data are missing in the table.

    Mixture

    Total quantity (in Liters)

    Milk : Water

    Quantity spoiled

    (in Liters)

    Remaining mixture (in Liters)

    Milk added (in Liters)

    Water added (in Liters)

    Milk : Water (in final mixture)

    A

    80

    4 : 1

    _

    60

    _

    4

    13 : 4

    B

    _

    7 : 3

    30

    40

    5

     

    3 : 2

    C

    72

    3 : 1

    16

    _

    _

    6

    9 : 4

    D

    84

    7 : 5

    24

    _

    10

    _

    3 : 2

    E

    124

    15 : 16

    _

    62

    _

    8

    9 : 10

    F

    _

    7 : 6

    39

    52

    7

    _

    5 : 4

    G

    96

    5 : 3

    24

    _

    _

    3

    8 : 5

    ...view full instructions

    The initial quantity of water in the mixture C is what percent more or less than the final quantity of water in mixture C.

    Solution

    The initial quantity of mixture C is 72 liters.

    Quantity of water in initial mixture of C =14 × 72 = 18 liters

    Total quantity of final mixture C = 56 + 9 = 65

    Quantity of water in final mixture of C =413 × 65 = 20 liters

    ∴ The initial quantity of water in mixture C is less than the final quantity of water in mixture C by220 × 100 = 10%

  • Question 2
    1 / -0.25

    Directions For Questions

    Direction: In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both the quantities and choose the correct option.

    ...view full instructions

    Quantity A: A got a concession of 20% on the marked price of an article and sold the product at 20% more than its original marked price. Find the profit % of A.

    Quantity B: The cost price of the mobile is Rs. 10,000. The delivery charge of the mobile cost 20% of its cost price. After adding that Pihu marks up 20% on its total cost price and sells it at a 40% discount. Find loss % of Pihu.

    Solution

    Formula:

    1. Profit = S.P – C.P.

    2. Profit % =ProfitC.P. × 100

    3. Loss = C.P. – S.P

    4. Loss % =LossC.P. × 100

    5. Selling price = M.P ×100-D%100

    Where,

    S.P = Selling price,C.P. = Cost price,M.P = Mark price,D% = Discount%

    Calculations:

    Quantity A:

    Let the mark price be 100

    A got 20% concession

    So, Cost price of A = 100 ×80100 = 80

    A sells the product on 20% more on its original mark price

    So, Selling price of A = 100 ×120100 = 120

    Profit = S.P – C.P.

    ⇒ 120 – 80 = 40

    Profit % =ProfitC.P. × 100

    4080 × 100 = 50%

    ∴ Profit % of A = 50%

    Quantity B:

    Cost price of the mobile = Rs. 10,000

    Delivery charges = 20% of cost price

    Delivery charges = 10000 ×20100 = Rs. 2,000

    Total cost price of mobile = 10,000 + 2,000 = 12,000

    Pihu marks up 20% on total cost price

    So, mark price = 12,000 ×120100 = 14,400

    Pihu sells it on 40% discount

    So, Selling price = M.P ×100-D%100

    ⇒ 14,400 ×100-40100

    ⇒ 144 × 60 = 8,640

    Loss = C.P. – S.P

    ⇒ 12,000 – 8,640 = 3,360

    Loss % =LossC.P. × 100

    =3,36012,000×100

    = 28%

    ∴ Loss % of Pihu = 28%

    So, Quantity A > Quantity B

  • Question 3
    1 / -0.25

    Directions For Questions

    Direction: Data has been collected from 5000 branches of different banks. The pie chart below shows the percentage of total bank branches of different banks. The bar graph shows the percentage of branches of different banks providing Internet Banking facilities (five types of services). Study the data carefully and answer the questions carefully.

    ...view full instructions

    How many branches of State Bank of India and Allahabad bank provide the facility of Online deposit?

    Solution

    From the Pie chart:

    Number of branches of State bank of India under survey = 5000 × 0.35 = 1750

    Number of branches of Allahabad Bank under survey = 5000 × 0.25 = 1250

    From the bar graph:

    Number of branches of State bank of India providing the facility of Online deposit = 1750 × 0.8 = 1400

    Number of branches of Allahabad Bank providing the facility of Online deposit = 1250 × 0.7 = 875

    ∴ Total branches of State Bank of India and Allahabad bank which provide the facility of Online deposit = 1400 + 875 = 2275

  • Question 4
    1 / -0.25

    Directions For Questions

    Direction: Data has been collected from 5000 branches of different banks. The pie chart below shows the percentage of total bank branches of different banks. The bar graph shows the percentage of branches of different banks providing Internet Banking facilities (five types of services). Study the data carefully and answer the questions carefully.

    ...view full instructions

    What percent of the total branches under survey provide the Online credit card application facility?

    Solution

    From the Pie chart:

    Number of branches of State bank of India under survey = 5000 × 0.35 = 1750

    Number of branches of Punjab national Bank under survey = 5000 × 0.24 = 1200

    Number of branches of Allahabad Bank under survey = 5000 × 0.25 = 1250

    Number of branches of Bank of Baroda under survey = 5000 × 0.16 = 800

    From the bar graph:

    Number of branches of State bank of India providing Online credit card application facility = 1750 × 0.06 = 105

    Number of branches of Punjab national Bank providing the Online credit card application facility = 1200 × 0.1 = 120

    Number of branches of Allahabad Bank providing the Online credit card application facility = 1250 × 0.2 = 250

    Number of branches of Bank of Baroda providing the Online credit card application facility = 800 × 0.4 = 320

    ∴ Total branches under survey which provide the Online credit card application facility = 105 + 120 + 250 + 320 = 795

    ∴ Required percentage =7955000 × 100 = 15.9%

  • Question 5
    1 / -0.25

    Directions For Questions

    Direction: Data has been collected from 5000 branches of different banks. The pie chart below shows the percentage of total bank branches of different banks. The bar graph shows the percentage of branches of different banks providing Internet Banking facilities (five types of services). Study the data carefully and answer the questions carefully.

    ...view full instructions

    Find the ratio of number of branches of Punjab National Bank which provide Online Loan application facility and the number of branches of Bank of Baroda which provide Online deposit facility.

    Solution

    From the Pie chart:

    Number of branches of Punjab national Bank under survey = 5000 × 0.24 = 1200

    Number of branches of Bank of Baroda under survey = 5000 × 0.16 = 800

    From the bar graph:

    Number of branches of Punjab national Bank providing Online Loan application facility = 1200 × 0.4 = 480

    Number of branches of Bank of Baroda providing Online deposit facility = 800 × 0.5 = 400

    ∴ Required ratio = 480 ∶ 400 = 6 ∶ 5

  • Question 6
    1 / -0.25

    Directions For Questions

    Direction: Data has been collected from 5000 branches of different banks. The pie chart below shows the percentage of total bank branches of different banks. The bar graph shows the percentage of branches of different banks providing Internet Banking facilities (five types of services). Study the data carefully and answer the questions carefully.

    ...view full instructions

    What is the difference of number of branches of Allahabad Bank that provide Online Corporate Cash Management facility and that provide Online Bill Payment facility?

    Solution

    Number of branches of Allahabad Bank under survey = 5000 × 0.25 = 1250

    Number of branches of Allahabad Bank providing the Online corporate cash management = 1250 × 0.3 = 375

    Number of branches of Allahabad Bank providing the Online Bill facility = 1250 × 0.6 = 750

    Required difference = (750 - 375)

    = 375

  • Question 7
    1 / -0.25

    Directions For Questions

    Direction: Data has been collected from 5000 branches of different banks. The pie chart below shows the percentage of total bank branches of different banks. The bar graph shows the percentage of branches of different banks providing Internet Banking facilities (five types of services). Study the data carefully and answer the questions carefully.

    ...view full instructions

    What is the difference of sum of number of branches of State bank and Punjab national bank which provide Online Bill payment facility and the sum of number of branches of Allahabad bank and Bank of Baroda which provide Online deposit facility?

    Solution

    From the Pie chart:

    Number of branches of State bank of India under survey = 5000 × 0.35 = 1750

    Number of branches of Punjab national Bank under survey = 5000 × 0.24 = 1200

    Number of branches of Allahabad Bank under survey = 5000 × 0.25 = 1250

    Number of branches of Bank of Baroda under survey = 5000 × 0.16 = 800

    From the bar graph:

    Number of branches of State bank of India providing Online Bill payment facility = 1750 × 0.9 = 1575

    Number of branches of Punjab national Bank providing Online Bill payment facility = 1200 × 0.8 = 960

    ∴ Sum of number of branches of State bank and Punjab national bank which provide Online Bill payment facility = 1575 + 960 = 2535

    Number of branches of Allahabad Bank providing the Online deposit facility = 1250 × 0.7 = 875

    Number of branches of Bank of Baroda providing the Online deposit facility = 800 × 0.5 = 400

    ∴ Sum of number of branches of Allahabad bank and Bank of Baroda which provide Online deposit facility = 875 + 400 = 1275

    ∴ Required difference = 2535 – 1275 = 1260

  • Question 8
    1 / -0.25

    Directions For Questions

    Direction: In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option.

    ...view full instructions

    Quantity A: A dishonest shopkeeper uses a faulty weight of 1800 g instead of 2 kg. What is his profit percentage?

    Quantity B: A dishonest shopkeeper mixes 1 kg of rice costing Rs. 24 per kg with 2 kg of rice costing Rs. 30 per kg and sold the mixture at a price of Rs. 30.8 per kg. What is his profit percentage?

    Solution

    Solving for Quantity A:

    True weight = 2 kg = 2000 g

    False weight = 1800 g

    Error = True weight – False weight = 2000 – 1800 = 200 g

    ∵ Profit percentage =ErrorFalseweight × 100

    ⇒ Profit percentage =2001800×100=1009 = 11.11%

    ⇒ Quantity A = 11.11%

    Solving for Quantity B:

    Cost price of (1 + 2 = 3) kg of mixture = (1 × 24) + (2 × 30) = 24 + 60 = Rs. 84

    ⇒ Cost price of 1 kg mixture =843 = Rs. 28

    But, Selling price of 1 kg mixture = Rs. 30.8

    ⇒ Profit earned = 30.8 – 28 = Rs. 2.8

    ⇒ Profit percentage =2.828 × 100 = 10%

    ⇒ Quantity B = 10%

    ∴ Quantity A > Quantity B

  • Question 9
    1 / -0.25

    Directions For Questions

    Direction: In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option.

    ...view full instructions

    Quantity A: A man purchased a mobile valued Rs. 26040 from a dealer and promises to pay the amount in 3 equal installments at the rate of 12.5% per annum compounded annually. Find the value of each installment.

    Quantity B: A man borrowed a sum of Rs. 25000 from bank at 10% interest per annum. He pays back Rs. 10000 at the end of each year. Calculate how much amount he will have to pay at the end of 3rd year to clear his dues?

    Solution

    Quantity A:

    Given:

    ⇒ Price of mobile = Rs. 26040

    ⇒ Rate of interest = 12.5% =18

    Let the amount of each installment is Rs. x and principals for three years are P1, P2 and P3

    First year:

    x=P11+18

    ⇒ P1 =8x9

    Second year:

    x=P21+182

    ⇒ P2 =64x81

    Third year:

    x=P31+183

    ⇒ P3 =512x729

    Now,

    ⇒ Sum of principle for 3 years = 26040

    8x9+64x81+512x729=26040

    1736x729=26040

    ⇒ x = 15 × 729

    ⇒ x = 10935

    ⇒ Amount of each installment = Rs. 10935

    Quantity B:

    Man borrowed a sum of Rs. 25000 from bank at 10% interest per annum

    ⇒ Amount after 1 year = 25000 × 1.1 = Rs. 27500

    As, he pays Rs. 10000 at the end of each year

    ⇒ Principal for second year = 27500 - 10000 = Rs. 17500

    ⇒ Amount after 2 year = 17500 × 1.1 = Rs. 19250

    ⇒ Principal for third year = 19250 - 10000 = Rs. 9250

    ⇒ Amount after 3 year = 9250 × 1.1 = Rs. 10175

    So, he will have to pay Rs. 10175 at the end of 3rd year to clear his dues

    ∴ Quantity A > Quantity B

  • Question 10
    1 / -0.25

    Directions For Questions

    Direction: In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve both the quantities and choose the correct option.

    ...view full instructions

    Quantity I: If the present age of Ram is 87.5% of Shyam whose age is 20% less than Sita. If the average of their age is 25 years then find the age of Shyam two years hence?

    Quantity II: If the present age of A is 27th of the age of B whose age is 25% more than C. If the age of C is 56 then find the present age of A?

    Solution

    Quantity I:

    ⇒ Ram : Shyam = 7 : 8

    ⇒ Shyam : Sita = 4 : 5

    ⇒ Ram : Shyam : Sita = 7x : 8x : 10x

    Sum = 25x

    Sum = 75 years

    ⇒ 1x = 3 years

    ⇒ Age of Shyam = 24 years

    ⇒ Age after 2 years = 26 years

    Quantity II:

    ⇒ A : B = 2 : 7

    ⇒ B : C = 5 : 4

    ⇒ A : B : C = 10x : 35x : 28x

    ⇒ 28x = 56 years

    ⇒ 1x = 2 years

    ⇒ Present age of A = 20 years.

    ∴ Quantity I > Quantity II

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