**Advertisements**1. A number increased by 137 ½ % and the increment is 33. The number is

1) 27 2) 22 3) 24 4) 25 5) None of these

Solution: (3).

Let the number be x.

Then, 137.5% of x = 33

Therefore x = (33 x 100) /137.50

= 24

2. A’s salary is 20% less than B’s salary. Then B’s salary is more than A’s salary by

1) 33 ½ % 2) 16 2/3 % 3) 20% 4) 25% 5) None of these

Solution: (4).

Given, a = 20%

Required percentage = a / (100 – a) X 100%

= 20 / (100-20) X 100%

= 20/80 X 100% = 25%

3. If the price of petrol is increased by 20%, by what percentage should the consumption be

decreased by the consumer, if the expenditure on petrol remains unchanged?

1) 16 2/3 % 2) 6 2/3% 3) 8% 4) 15% 5) None of these

Solution: (1).

Here , a = 20%

Required percentage loss = a /(100 + a) X 100%

= 20 / (100+20) X 100%

= 20/120 x 100% = 16 2/3%

4. A water pipe is cut into two pieces. The longer piece is 70% of the length of the pipe. By how much

percentage is the longer piece longer than the shorter piece?

1) 140% 2) 400/3 % 3) 40% 4) All of the these 5) None of these

Solution: (2).

Increase in percentage of longer pipe compared to shorter pipe

= 70 - 30 / 30 X 100%

= 40/30 X 100% = 400/3 %.

5. A man losses 20% of his money. After spending 25% of the remainder, he has Rs.480 left. What is

the amount of money he originally had?

1) Rs.600 2) Rs.720 3) Rs.800 4) Rs.840 5) None of these

Solution: (3).

Let a man have Rs.x

Remainder money, after losses 20% of his money

= x – 20% of x =x – (x x20)/100

= 5x – x / 5

= 4x/5

Remainder money, after spending 25% of his remainder money = 4x/5 – 25% of (4x /5)

= 4x/5 - (4x/5 X 25/100)

= 4x/5 - x/5 = 4x-x / 5

=3x/5

According to the question,

3x/5 =480

x = 480 X 5 /3

= Rs.800

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