# 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
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
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
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
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
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
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
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
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%
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
Option D
Solution:

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

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

1. Vision

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. yo

how?

3. Lee64

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

4. Lee64

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

y=9

5. Shubhra

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

6. Lee64

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

7. 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

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

2. 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. Suraj

ok,, doubt page pe kr dena : http://aspirantszone.com/discussion-zone-doubts-page-1

10. Update version

pata h sir ye:))

3. 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

4. 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. Shubhra

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..

5. Vision

done !!
good qs
ty !!

1. Update version

🙂 great hema

1. Vision

not great yr
we r learng !!

1. Update version

:)) yes ryt

6. Führer

7/10 good questions

7. 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. Shubhra

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. Shubhra

yes
because in table both are Y na

1. gomathy priya

ok, ty mam:))

8. gomathy priya

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