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Q:

A Shopkeeper  charges sales tax of x% upto Rs.2,000 and above it he charges y%. A customer pays total tax of Rs 320, when he purchases the goods worth Rs. 6,000 and he pay's the total tax of Rs. 680 for the goods worth Rs. 12,000. The value of (x-y) is:

A) 0 B) -2
C) -4 D) 5

Answer:   B) -2

Explanation:

          \inline 2000\times \frac{x}{100}+4000\times \frac{y}{100}=320

and     \inline 2000\times \frac{x}{100}+10,000\times \frac{y}{100}=680

\therefore        x = 4  and  y = 6

\therefore         x-y = -2

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
 
Answer & Explanation Answer: D) Cannot be determined

Explanation:
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55 1818
Q:

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

Answer

Suppose length = 100m and breadth = x m


Area = 100 m


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


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


\inline \Rightarrow \inline 110\times (1-\frac{y}{100})=100


\inline \Rightarrow \inline 1-\frac{y}{100}=\frac{100}{110}


\inline \Rightarrow \frac{y}{100}=1-\frac{100}{110}=\frac{1}{11}


\inline y=\frac{100}{11}=9\frac{1}{10}%

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49 1820
Q:

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

Answer

10 - 10 - \inline \frac{10\times 10}{100}= -1% %


\inline \therefore Decrease in revenue = 1%

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11 790
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?

Answer

Suppose his total salary be Rs.x, then 


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


\inline \Rightarrow \frac{90}{100}\times \frac{85}{100}\times \frac{90}{100}\times x=4131


\inline \therefore x=\frac{4131\times 100\times 100\times 100}{90\times 85\times 90}=6000


Hence , the salary of the officer is Rs.6000

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16 2056
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?

Answer

Suppose total votes polled is x


\inline \Rightarrow \inline \frac{62x}{100}=\frac{38x}{100}+192


\inline \Rightarrow \frac{62x}{100}-\frac{38x}{100}=192


\inline \Rightarrow \frac{24x}{100}=192\Rightarrow x=800

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36 1305