Quant Quiz (DI)

Directions: Study the following line graph and answer the following questions.

Percentage profit earned by two Companies over the given years.
% profit = (Income – Expenditure)/Expenditure × 100

1. Expenditure of company B in year 2013 and 2014 were in the ratio 13 : 7 respectively. What was the respective ratio of their income?
1) 168 : 105
2) 171 : 105
3) 178 : 105
4) 165 : 106
5) 141 : 102

2. If the expenditure of companies A and B in year 2014 were in the ratio 7 : 11 and total expenditure in the year 2014 of the both company was Rs. 90 lakhs, then what was the income of company B in that year?
1) Rs. 10735000
2) Rs. 11725000
3) Rs. 10835000
4) Rs. 10725000
5) Rs. 10625000

3. If the income of both companies in 2012 was equal. Find the ratio of their expenditure.
1) 181 : 172
2) 189 : 173
3) 188 : 173
4) 180 : 173
5) 189 : 172

4. If company A's income increases by 25% in 2014 as compared to 2012, but expenditure rises by 29%. What will be percentage profit growth of A from last year?
1) 10%
2) 14%
3) 18%
4) 25%
5) Data inadequate

5. If the amount of profit remains the same over the years for company A, in which of the following years the amount of expenditure is the minimum for company A?
1) 2015
2) 2011
3) 2012
4) 2014
5) 2013

Directions: In the following number series one number is wrong. Find out the wrong number.

6. 15, 69, 235, 939, 3755

1) 69 

2) 939 

3) 3755 

4) 15 

5) 235

7. 22, 23, 31, 58, 121

1) 22 

2) 23 

3) 31 

4) 121 

5) 58

8. 120, 220, 380, 740, 1400

1) 740 

2) 220 

3) 120 

4) 380 

5) 1400

Answers:
1. 3
E(B2013)/E(B2014) = 13/4
[I(B2013) - E(B2013)]/E(B2013) = 78/100
100 I(B2013) - 100 E(B2013) = 78 E (B2013)
I(B2013) = E(B2013) * 178/100
Similarly, I(B2014) = E(B2014) * 195/100

E(B2013)/E(B2014) = [100/178 I(B2013)]/[100/196 I(B2014)] = 13/7

I(B2013)/I(B2014) = 13/7 * 178/195 = 178/105

2. 4
E(A2014) : E(B2014) = 7 : 11
7x + 11x = Rs. 90,00,000
18x = Rs. 90,00,000
x = Rs. 5,00,000

E(B2014) = 11x = Rs. 55,00,000

I(B2014) = E(B2014) * 195/100

55,00,000 * 195/100 = 107,25,000

3. 5
E(A2012) = 100/172 I(A2012)
E(B2012) = 100/189 I(B2012)
Since, I(A2012) = I(B2012)
E(A2012) : E(B2012) = 189 : 172

4. 5

5. 1
I = E(1 + P/100)
I/E - 1 = P/100
E = 100(I-E)/P
(I – E) is nothing but amount of profit 1. As (I – E) will remain constant for over the years, the value of E will be
minimum in that year when the percentage profit is
maximum of company A i.e. 2015.

6. 1; The series is :
15 × 4 – 1 = 59 not equal to 69
59 × 4 – 1 = 235
235 × 4 – 1 = 939
939 × 4 – 1 = 3755

7. 4; The series is :
22 + 13 = 23
23 + 23 = 31
31 + 33 = 58
58 + 43 = 122 not equal to 121

8. 4; The series is :
120 × 2 – 20 = 220
220 × 2 – 40 = 400 not equal to 380
400 × 2 – 60 = 740
740 × 2 – 80 = 1400