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# A Shepherd had n goats in the year 2000. In 2001 the no.of goats increased by 40% . In 2002 the no. of goats declined to 70%. In 2003 the no. of  goats grew by 30%. In 2004, he sold 10% goats, then he had only 34,398 goats. The percentage increase of the no.of goats in this duration was:

 A) 14.66% B) 16.66% C) 20% D) 33.33%

Explanation:

There is no need to use the no of goats i.e (34,398). let initially thete be 1000 goats then

1000 -----> 1400 -----> 980 -----> 1274 ----->1146.6

Thus the % increase = $\inline&space;\frac{1146.6-1000}{1000}\times&space;100$ = 14.66%

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• Related Questions

The ratio of earnings of A and B is 4:5. If the earnings of A increase by 20% and the earnings of B decrease by 20%, the new ratio of their earnings becomes 6:5. What are A's earnings?

 A) Rs.22,000 B) Rs.27,500 C) Rs. 26,400 D) Cannot be determined

Explanation:

Subject: Percentage - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

51

If the length of a rectangle is increased by 10% and the area is unchanged , then its corresponding breadth must be decreased by?

Suppose length = 100m and breadth = x m

Area = 100 m

New length = 110m and breadth = (x-y% of x)

Then, $\inline&space;110\times&space;(x-\frac{y}{100}x)=100\times&space;x$

$\inline&space;\Rightarrow$ $\inline&space;110\times&space;(1-\frac{y}{100})=100$

$\inline&space;\Rightarrow$ $\inline&space;1-\frac{y}{100}=\frac{100}{110}$

$\inline&space;\Rightarrow&space;\frac{y}{100}=1-\frac{100}{110}=\frac{1}{11}$

$\inline&space;y=\frac{100}{11}=9\frac{1}{10}$%

Subject: Percentage - Quantitative Aptitude - Arithmetic Ability

43

The tax on an article decreases by 10% and its consumption increases by 10%. Find the effect percent on its revenue?

10 - 10 - $\inline&space;\frac{10\times&space;10}{100}=&space;-1%$ %

$\inline&space;\therefore$ Decrease in revenue = 1%

Subject: Percentage - Quantitative Aptitude - Arithmetic Ability

8

From a salary of an officer, 10% is deducted as house rent, 15% of the rest he spend on children's education and 10% of the balance he spends on clothes. Then, he is left with Rs. 4131. Find his total salary?

Suppose his total salary be Rs.x, then

90% of 85% of 90% of x = 4131

$\inline&space;\Rightarrow&space;\frac{90}{100}\times&space;\frac{85}{100}\times&space;\frac{90}{100}\times&space;x=4131$

$\inline&space;\therefore&space;x=\frac{4131\times&space;100\times&space;100\times&space;100}{90\times&space;85\times&space;90}=6000$

Hence , the salary of the officer is Rs.6000

Subject: Percentage - Quantitative Aptitude - Arithmetic Ability

12

In an election, there were two candidates only. The candidate who got 62% of the total votes polled and was elected by a majority of 192 votes. The total number of votes polled was?

Suppose total votes polled is x

$\inline&space;\Rightarrow$ $\inline&space;\frac{62x}{100}=\frac{38x}{100}+192$

$\inline&space;\Rightarrow&space;\frac{62x}{100}-\frac{38x}{100}=192$

$\inline&space;\Rightarrow&space;\frac{24x}{100}=192\Rightarrow&space;x=800$