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

Percentage profit earned by two Companies over the given years.

% profit = __(Income – Expenditure)__× 100
Expenditure

**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

**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.

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