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[WpProQuiz 7308]Data Interpretation
Directions (1 – 5): Study the following information carefully and answer the questions given below.
Note: GST charged on total sale.
1) If the company had manufactured 12000 units of product A in 2017. Then find the total GST paid by company in 2017 on product A.
a) 3 cr
b) 2.5 cr
c) 3.2 cr
d) 2.8 cr
e) None of these
2) If the company had paid the total GST of Rs 3 cr on the product C in 2017. Find the total number of Product C manufactured by Company in 2017.
a) 13200
b) 12500
c) 13000
d) 11700
e) 12000
3) If the company had done the tax evasion on product B in 2017 and paid 12.5% less than the actual GST. Find the amount paid by company for 18000 units of product B as GST after tax evasion in 2017.
a) 8.2 cr
b) 6.3 cr
c) 5.5 cr
d) 6.7 cr
e) None of these
4) If company had manufactured 16000 units of product D and 28000 units of product E in 2017. Then GST paid company D is how much percent less than GST paid by Company E in 2017.
a) 3 %
b) 3.90%
c) 3.75%
d) 5%
e) None of these
5) If in 2018 price per unit of product D increases by 20% then find the difference in GST paid by company from previous year. If company had made equal units of products C in both years.
a) Rs 42000
b) Rs 44000
c) Rs 22000
d) Rs 24000
e) Cannot be determined
Application Sums
6) An amount x is invested in scheme A for 2 years at 10% p.a compounded annually and an amount y is invested in scheme B for 3 years at 16% p.a simple interest. If the interest earned by scheme A is 87.5% of interest earned by scheme B and the total sum of amount invested in both scheme is Rs 9000. Then find the amount invested in scheme A.
a) 6000
b) 3000
c) 4500
d) 5500
e) None of these
7) B alone can do a piece of work in 25 days and A is 16.66% inefficient less than B. A and B started working together for 6 days then C alone completed the rest work in 21 days. In how many days C alone can complete the whole work?
a) 37.5 days
b) 38 days
c) 42 days
d) 45 days
e) None of these
8) A bag contains x green balls, 4 red balls and 5 white balls 3 balls are picked up randomly one after the another without replacement from the bag. Find the value of x if probability of 3 balls being green is 1/16.
a) 7
b) 6
c) 8
d) 9
e) None of these
9) A purchased an old scooter for Rs 30000 and spent 3500 in servicing, 1500 in engine repair. If he wants to earn 20% profit then at what price he must have to sell the scooter?
a) Rs 45000
b) Rs 42000
c) Rs 32000
d) Rs 50000
e) None of these
10) A and B started a business by investing Rs 2500 and Rs 2200 respectively. After 7 months they had invested 500 and 800 more amounts respectively. If the difference between the share of A and B is Rs 3486, find the total share earned after 1 year.
a) Rs 101152
b) Rs 104452
c) Rs 104414
d) Rs 102369
e) None of these
Answers :
Directions (1-5) :
1) Answer: B
Number of units = 12000
Price per units = 12500
Sale = 12000 * 12500 = 15 cr
Total GST paid = 16.66% of 15 cr = 1/6 * 15Â = 2.5 cr
2) Answer: A
Let the total number of product C manufactured by company = x units
Price per units = 25000
Sale = 25000x
According to the question,
25000x * 9.09% = 3 cr
x = 30000000/25000 * 11 = 13200Â (9.09% = 1/11)
3) Answer: B
Number of units = 18000
Price per unit = 36000
Total sale = 18000 * 36000 = 64.8 cr
Actual GST = 11.11% of 64.8 cr = 648000000 * 1/9 = 7.2 cr   (11.11% = 1/9)
Tax evasion = 12.5% of 7.2 cr = 1/8 * 72000000 = 90 lakhs
Required amount = 7.2 – 0.90 = 6.3 cr
4) Answer: C
Number of units of product D = 16000
Price per unit = 28000
Sale = 16000 * 28000 = 44.8 cr
GST = 13.75% of 44.8 cr = 13.75/100 * 44.8 cr = 6.16 cr
Number of units of product E = 28000
Price per unit = 16000
Sale = 28000 * 16000 = 44.8 cr
GST = 14.28 % of 44.8 cr = 1/7 * 44.8 cr = 6.4 cr
Required % = (6.4 – 6.16)/6.4 * 100 = 3.75%
5) Answer: E
We don’t know the information about the number of units manufactured in 2017 and 2018. Hence, the answer of the question cannot be determined.
Directions (6-10) :
6) Answer: A
x + y = 9000 ——– i
In scheme A,
Net effective rate = 10 + 10 + (10 * 10)/100 = 21%
Interest = 21x/100
Net effective rate = 3 * 16 = 48%
Interest = 48y/100
According to question,
48y/100 * 87.5/100 = 21x/100
48y/100 * 87.5 = 21x
4200y/100 = 21x
2y = x —— ii
Putting (ii) in (i)
x + y = 9000
2y + y = 9000
y = 3000
x = 9000 – 3000 = 6000
7) Answer: A
Time taken by B alone = 25 days
Ratio of efficiency of A and B = 5 : 6
Ratio of time taken by A and B = 6 : 5
Therefore, time taken by A alone = 30 days
Total work = LCM of 30 and 25 = 150 units
1 day work of A = 150/30 = 5 units
1 day work of B = 150/25 = 6 units
1 day work of (A + B) = 5 + 6 = 11 units
6 days work of (A + B) = 7 * 11 = 66 units
Left work = 150 – 66 = 84 units
Now, C can complete 84 units = 21 days
150 units = 21 * 150/84 = 37.5 days.
8) Answer: A
Probability of getting 1st green ball = x/(x + 4 + 5) = x/x + 9
Probability of getting 2nd green ball without replacement = (x – 1)/(x + 8)
Probability of getting 3rd green ball without replacement = (x – 2)/(x + 7)
According to the question,
[x/x + 9] * [(x – 1)/(x + 8)] * [(x – 2)/(x + 7)] = 1/16Now we will check through option and hence, option A = 7 satisfied the equation
So, value of x = 7
9) Answer: B
Total C.P of scooter = (30000 + 3500 + 1500) = Rs 35000
Required Profit = 20%
So, required S.P = 120/100 * 35000 = Rs 42000
10) Answer: CÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Ratio of shares of A and B = (2500 * 7 + 3000 * 5) + (2200 * 7 + 3000 * 5)
= 325: 304
Let the total profit earned after 1 year = x
So, (325 – 304)/(325 + 304) * x = 3486
21x/629 = 3486
x = Rs 104414
