Quantitative Aptitude: Data Interpretation Questions Set 33 (Missing DI)

Missing Data Interpretation (DI) SBI PO Mains 2017, IBPS PO, NIACL, NICL, RBI Grade B, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams.

Directions (1 – 5): Study the following table carefully and answer the questions that follow:
Three persons A, B, C invested different amounts in different years for different time period and shared profit from total profit given as per table. Some values are missing. Answer the questions on the basis of given table and information in question.

  1. B’s investment in 2015 is 6000 less than that of A in same year. C’s profit in 2015 is Rs 17,500. Find for how many months did C invest his money in 2015?
    A) 12
    B) 10
    C) 9
    D) 8
    E) 7
    View Answer
    Option C
    Solution:

    B’s investment in 2015 = 24000 – 6000 = 18000
    So
    Ratio of profits of A : B : C is
    24000*9 : 18000*12 : 21000*Y
    72 : 72 : 7y
    So 7y/(72+72+7y) * 57500 = 17500
    Solve, Y = 9
  2. Find the profit of C in 2014, if the profits of A and B in the same year is Rs 10,500 and Rs 13,500.
    A) Rs 25,000
    B) Rs 20,000
    C) Rs 18,000
    D) Rs 15,000
    E) Rs 22,000
    View Answer
    Option D
    Solution:

    Let total profit in 2014 = Rs A
    Ratio of profit share of A : B : C is
    21*X : 24*9 : 20*(X+4)
    Now 21X/[ 21*X + 24*9 + 20*(X+4)] * A = 10500………..(1)
    Also 24*9/[ 21*X + 24*9 + 20*(X+4)] * A = 13500………….(2)
    Divide both equations:
    21X/24*9 = 105/135
    Solve, X = 8
    Put X = 8 in one of the equations above. A = 39,000
    Also Put X = 8 in 21*X : 24*9 : 20*(X+4)
    So ratio becomes 7 : 9 : 10
    So profit of C = 10/26 * 39,000 = Rs 15,000
  3. In 2013, profit of A and C together is Rs 13,750 and also difference in their profit shares is Rs 1250. Find the total profit in that year.
    A) Rs 20,250
    B) Rs 19,750
    C) Rs 22,550
    D) Rs 19,350
    E) Cannot be determined
    View Answer
    Option E
    Solution:

    Ratio of profit share of A : B : C is
    R*10 : 18000*8 : R*12
    5R : 18000*4 : 6R
    So (5R+6R)/(5R + 72000 + 6R) * A = 13750
    Also, (6R-5R)/(5R + 72000 + 6R) * A = 1250
    Solving 1st equation gives 2nd equation. So 1 equation in two variables cannot give answer.
  4. B’s investment in 2016 is 20% greater than that of A in same year. If profit of B is Rs 21,000, then what is the profit of C?
    A) Rs 18,500
    B) Rs 13,500
    C) Rs 19,500
    D) Rs 16,500
    E) Rs 17,500
    View Answer
    Option E
    Solution:

    B’s investment is = 120/100 * 25000 = Rs 30,000
    So ratio of profits of A : B : C is
    25000*12 : 30000*Z : 25000*Z
    60 : 6Z : 5Z
    So profit of B = 6Z/(60 + 11Z) * 59500 = 21,000
    Solve, Z = 10
    So ratio becomes 60 : 6*10: 5*10 = 6 : 6 : 5
    So profit of C = 5/17 * 59500 = Rs 17,500
  5. In 2012, the difference between the profit shares of B and C is Rs 650 and profit share of A is Rs 5200. If investment of A is Rs7000 less than 3000 times the investment time (in months) of C, find the total investment of all three.
    A) Rs 51000
    B) Rs 46000
    C) Rs 48000
    D) Rs 52000
    E) Rs 45000
    View Answer
    Option C
    Solution:

    Ratio of profit share of A : B : C is
    P*8 : (P+2000)*Q : (P+4000)*Q
    So [(P+4000)*Q – (P+2000)*Q]/[ P*8 : (P+2000)*Q : (P+4000)*Q ] * 16250 = 650 …………………..(1)
    Also given [8P]/[ P*8 : (P+2000)*Q : (P+4000)*Q ] * 16250 = 5200………………………(2)
    Divide both equations (1) and (2)
    P = 2000Q ………………………………(3)
    Also given, P = 3000*Q – 7000 ……………………….(4)
    From (3) and (4) now
    Q = 7, P = 14000
    So total investment = 14000 + 16000 + 18000 = Rs 48000

Directions (6 – 10): Study the following table carefully and answer the questions that follow:
A person invested different amount in different years at different rate of interest for different years as described in below table. Some values are missing. Answer the questions on the basis of given table and information in question.

I = Interest received after 1 year

  1. In 2013, if the interest was calculated semi-annually, the interest would have been Rs 2060.804 for given time period. Find the interest when compounded annually.
    A) Rs 1960
    B) Rs 2070
    C) Rs 2040
    D) Rs 2220
    E) Rs 2150
    View Answer
    Option C
    Solution:

    Rate semi-annually = 4/2 = 2%
    Interest = Rs2060.804 for given period, means it is not for 1 year, but the whole period.
    So CI = 25000+2060.804 = 27060.804
    So 25000 [1 + 2/100]n = 27060.804
    So 25000 [1 + 2/100]n = 27060.804
    [51/50]n = 27060804/25000000
    [51/50]n = 27060804/25000000
    [51/50]n = 6765201/6250000
    504 = 6250000
    So we check, 514
    So, n = 4 [this is semi-annually]
    means actual time period  = 4/2 = 2 years
    So Amount compounded annually = 25000 [1 + 4/100]2 = Rs 27040
    So CI = 27040 – 25000 = Rs 2040
  2. In 2014, the difference between compound interest and simple interest for the given period is Rs 40. If the sum is invested for 3 years, what will be the compound interest after 3 years?
    A) Rs 2728
    B) Rs 2655
    C) Rs 2328
    D) Rs 2522
    E) Rs 2544
    View Answer
    Option D
    Solution:

    SI for 1 year = Rs 800, so for 2 years = 2*800 = Rs 1600
    So according to formula for 2 years, R = 2*(difference between CI and SI)/SI * 100
    R = (2*40/1600) *100 = 5%
    Now use,
    PR2/1002 = (difference between CI and SI)
    P * 52/ 1002 = 40
    Solve, P = Rs 16000
    So amount after 3 years = 16000 [1 + 5/100]3 = Rs 18522
    So CI = 18522 – 16000 = Rs 2522
  3. In 2015, if rate of interest is increased by 3%, what will be the amount received after given period?
    A) Rs 52,000
    B) Rs 45,000
    C) Rs 42,000
    D) Rs 47,000
    E) Rs 54,000
    View Answer
    Option B
    Solution:

    First find the rate of interest, 25000*r*1/100 = 1750
    Solve, r = 7%
    So new rate = 7+ 3 = 10%
    So Interest = 15000*10*8/100 = Rs 20,000
    So amount = 25000 + 20000 = Rs 45,000
  4. In 2016, the amount becomes Rs 57,400 after 8 years, find the rate of interest.
    A) 6%
    B)10%
    C) 7%
    D) 9%
    E) 8%
    View Answer
    Option E
    Solution:

    Interest after 1 year = Rs 2800, so after 6 years = 2800*6 = Rs 16800
    Let principal amount = Rs x
    So in 6 years, amount becomes (x+16800) and in 8 years it becomes 57,400
    So interest in 2 years = 57400 – (x+16800) = Rs(40600-x)
    So after 1 year = Rs(40600-x)/2 which is Rs 2800
    So (40600-x)/2 = Rs 2800
    Solve, x = Rs 35,000
    Now 35000*r*1/100 = 2800
    Solve, r = 8%
  5. In 2012, the person invested Rs 7000 at simple interest and rest at compound interest. If the total amount received after respective periods is Rs 17,920, then find the time period for which the amount was invested at compound interest.
    A) 1 year
    B) 3 years
    C) 4 years
    D) 2 years
    E) None of these
    View Answer
    Option D
    Solution:

    7000 + 7000*6*5/100 + 8000 * [1 + 5/100]n = 17920
    8000*[21/20]n = 8820
    Solve, n = 2 years

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48 Thoughts to “Quantitative Aptitude: Data Interpretation Questions Set 33 (Missing DI)”

    1. Vision

      qs no 2:
      21*X : 24*9 : 20*(X+4)
      how 9 ?

      1. Suraj

        See in the instruction it is given :Answer the questions on the basis of given table and information in question.
        and in Ques 1 we got y=9

        1. Vision

          mera mtlb hai agr qs one ko ni dekhnge tb ni hoga na
          qs one me to qs me diya hai tb jaake nikla

          1. AVI™ (Sinchen loveR)

            ha ho jayege bina Q1 ko dhekhe
            es Q m to solve krne ki jrurt bi nhi h without copy pen solve

          2. Lee64

            Did u gt d ans as y=9 already..If so plz xplain cnt gt

          3. Lee64

            cn u explain in detail question no 1 especially tis part (72+72)/7y=400/175

            y=9

          4. C’s profit in 2015 is Rs 17,500

            ratio is 72 : 72 : 7y

            so C = 7y
            Total given is 57500 in table
            So
            7y/(72+72+7y) * 57500 = 17500

          5. Lee64

            Mam if nt so mch trouble cn u plz explain especially d calculation part

          6. Lee64

            step by step

        2. yo

          sir not getting how 9 is answer?
          7y/144+7y* 57500 =17500
          3y=144+7y
          then 4y=144
          y=36
          sir kiindly reply asap?

          1. Suraj

            total profit= 57500; profit of C= 17500 ;means profit of A+B=57500-17500=40000
            profit(A+B)/ profit C= 40000/17500
            (72+72)/7y=400/175
            y=9

  1. Update version

    ist suum 72+72/7y=40000/17500
    144/7y=8/7
    y=16 aa rah h mera to aise ye wrong ku @@Suraj:disqus sir

    1. Vision

      hmm same here

      1. Update version

        hm lets me try all

    2. Update version

      ufff silly mistakes

      1. Update version

        sahi h yr ye to confusion ho gyi h badi wale 1st sum nai hua to table he nai puri banegi pher next sum b nai hoga sir pl@sur@Suraj:disqus sir clerfy

        1. Suraj

          yes, aise case to karna padega sab solve; after all it is SBI

          1. Update version

            sir mera first ka ans 16 aarha h

          2. Suraj

            how? share ur solution

          3. Update version

            ist suum 72+72/7y=40000/17500
            144/7y=8/7
            y=16

          4. Suraj

            isse bhi y=9 aarha hai
            40000/17500=16/7

          5. Vision

            lgta hai kuch calculation mistake hui hai or kuch na mere se bhi 16 hi aaya

          6. Update version

            :(( lagta h mind disturb h ander se sorry sir ty for response sir u have tele account .some doubts on quant actually pic post karne bhut time lag jata h esliye

          7. Suraj

            no, tele account nhi hai;; :))

          8. Update version

            ok sir :)) maine b abhi he banya h 🙂 bki me try karunga kisi din wifi ki range me aake sare sum post kar du ek br me:)

          9. Update version

            pata h sir ye:))

  2. AVI™ (Sinchen loveR)

    Q 4 m
    Z =10 kese aa gya ?
    Q 5 ka koi aur solution nhi h esme to bilkul smj nhi aa rha

    1. Suraj

      solve this equation So profit of B = 6Z/(60 + 11Z) * 59500 = 21,000
      Z= 10 will come

  3. Vision

    qs 7
    how to find rate?

    1. Suraj

      direct formula when time= 2 years for both CI and SI then
      R= 2* (CI-SI)/SI *100

      1. subhain

        isme simple interest kaise le liya 800 given toh compound interest hai table main?

        1. SI and CI are same for first year

          1. subhain

            yes mam main bhul gya tha
            thank you mam

      2. Zelanian Zephyr

        800 is given for two years, how is it considered for one year in the solution? please explain..

  4. Vision

    done !!
    good qs
    ty !!

    1. Update version

      🙂 great hema

      1. Vision

        not great yr
        we r learng !!

        1. Update version

          :)) yes ryt

  5. Führer

    7/10 good questions

  6. gomathy priya

    @@Shubhra_AspirantsZone:disqus mam, how u get 24*9? in table 2014 B’s investment period is Y? how you get 9 mam?

    1. In Q 1 we have calculated Y na.
      And in table Y is at two places. Means both will have same value na ?
      Otherwise it would have been different variable s

      1. gomathy priya

        ok mam, so we can use the same value both in 2014 and 2015?

        1. yes
          because in table both are Y na

          1. gomathy priya

            ok, ty mam:))

  7. gomathy priya

    @@Shubhra_AspirantsZone:disqus mam, in 10th que how the S.I interest is 5%?

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