136. First and second numbers are less than a third number by 30% and 37% respectively. The second number is less than the first by

1. 1. 7%

   
   
   

   2. 4%

   
   
   

   3. 3%

   
   
   

   4. 10%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the third number = 100.
   ∴ First number = 70
   Second number = 63
   ∴ Required per cent
   

   =	70 - 63	× 100 = 10%
   	70

   Correct Option: D

   Let the third number = 100.
   ∴ First number = 70
   Second number = 63
   ∴ Required per cent
   

   =	70 - 63	× 100 = 10%
   	70

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137. Rani’s weight is 25% that of Meena’s and 40% that of Tara’s. What percentage of Tara’s weight is equal to Meena’s weight?

1. 1. 160%

   
   
   

   2. 140%

   
   
   

   3. 120%

   
   
   

   4. 100%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let Rani’s weight be x kg.
   ∴ Meena’s weight = 4x kg.
   

   Tara’s weight =	5x	kg.
   	2

   
   ∴ Required percentage
   

   =	4x	× 100 = 160%
   	5x
   	2

   Correct Option: A

   Let Rani’s weight be x kg.
   ∴ Meena’s weight = 4x kg.
   

   Tara’s weight =	5x	kg.
   	2

   
   ∴ Required percentage
   

   =	4x	× 100 = 160%
   	5x
   	2

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138. Out of 2500 people, only 60% have the saving habit. If 30% save with bank, 32% with post office and the rest with shares, the number of shareholders are

1. 1. 450

   
   
   

   2. 570

   
   
   

   3. 950

   
   
   

   4. 1250

   
   
   

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1. View Hint View Answer Discuss in Forum

   Number of people who have the saving habit
   

   =	2500 × 60	= 1500
   	100

   
   ∴ Number of shareholders
   = (100 – 62)% of 1500
   

   =	1500 × 38	= 570
   	100

   Correct Option: B

   Number of people who have the saving habit
   

   =	2500 × 60	= 1500
   	100

   
   ∴ Number of shareholders
   = (100 – 62)% of 1500
   

   =	1500 × 38	= 570
   	100

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139. The value of a commodity depreciates 10% annually. If it was purchased 3 years ago and its present value is 5,832, what was its purchase price ?

1. 1. 7200

   
   
   

   2. 7862

   
   
   

   3. 8000

   
   
   

   4. 8500

   
   
   

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1. View Hint View Answer Discuss in Forum

   Using Rule 18,
   Let the original price of the article be ₹ x.
   According to the question,
   

   5832 = x		1 -	10		3
   			100

   
   

   ⇒ 5832 = x ×		9		3
   		10

   
   

   =	5832 × 10 × 10 × 10	= ₹ 8000
   	9 × 9 ×9

   Correct Option: C

   Using Rule 18,
   Let the original price of the article be ₹ x.
   According to the question,
   

   5832 = x		1 -	10		3
   			100

   
   

   ⇒ 5832 = x ×		9		3
   		10

   
   

   =	5832 × 10 × 10 × 10	= ₹ 8000
   	9 × 9 ×9

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140. A and B are two fixed points 5 cm apart and C is a point on AB such that AC is 3 cm. If the length of AC is increased by 6%, the length of CB is decreased by

1. 1. 6%

   
   
   

   2. 7%

   
   
   

   3. 8%

   
   
   

   4. 9%

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   Increase in AC = 6%
   

   ∴ Increased AC =	106	× 3 = 3.18 cm
   	100

   
   ∴ Decreased CB = 5 – 3.18 = 1.82 cm.
   ∴ Decrease = 2 – 1.82 = 0.18 cm
   ∴ Percentage decrease
   

   =	0.18	× 100 = 9%
   	2

   Correct Option: D

   
   Increase in AC = 6%
   

   ∴ Increased AC =	106	× 3 = 3.18 cm
   	100

   
   ∴ Decreased CB = 5 – 3.18 = 1.82 cm.
   ∴ Decrease = 2 – 1.82 = 0.18 cm
   ∴ Percentage decrease
   

   =	0.18	× 100 = 9%
   	2

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