3
Q:

Lagaan is levied on the 60% of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Sukhiya over the total taxable land of the village is:

 A) 0.15% B) 15% C) 0.125% D) None of these

Explanation:

Total land of Sukhiya = $\inline&space;\frac{480x}{0.6}$ = 800x

$\therefore$ Cultivated land of village = 384000x

$\therefore$ Required percentage = $\inline&space;\frac{800x}{384000}\times&space;100&space;=&space;0.20833$

Q:

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:

55 1860
Q:

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

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

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

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

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

1842
Q:

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%

795
Q:

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

2083
Q:

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

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

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

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