6. A sum of Rs. 41 was divided among 50 boys and girls. Each boy gets 90 paise and a girl 65 paise. The number of boys is —

1. 1. 16

   
   
   

   2. 34

   
   
   

   3. 14

   
   
   

   4. 36

   
   
   

---

1. View Hint View Answer Discuss in Forum

   As per the given question , we can say that
   

   Average money received by each = Rs.	41
   	50

   
   Average money received by each = 82 paise
   

   Correct Option: B

   As per the given question , we can say that
   

   Average money received by each = Rs.	41
   	50

   
   Average money received by each = 82 paise
   Ratio of boys and girls = 17 : 8
   Total ratios of boys and girls = 17 + 8 = 25

   ∴ Number of boys =		50 ×	17
   			25

   
   Therefore ,Number of boys = 34.

---

7. Some amount out of Rs. 7000 was lent at 6 % p.a. and the remaining at 4 % p. a. If the total simple interest from both the fractions in 5 years was Rs. 1600, the sum lent at 6 % p. a. was —

1. 1. Rs. 2000
      

   
   
   

   2. Rs. 5000

   
   
   

   3. Rs. 3500

   
   
   

   4. None of these

   
   
   

---

1. View Hint View Answer Discuss in Forum

   According to question ,
   

   Average annual rate =		1600	×	1000		%
   		7000		5

   
   

   Average annual rate =		32		%
   		7

   ∴ (Amount at 6%) : (Amount at 4%) =	4	:	10	= 2 : 5
   	7		7

   
   

   Correct Option: A

   According to question ,
   

   Average annual rate =		1600	×	1000		%
   		7000		5

   
   

   Average annual rate =		32		%
   		7

   ∴ (Amount at 6%) : (Amount at 4%) =	4	:	10	= 2 : 5
   	7		7

   
   

   ∴ Sum lent at 6% = Rs.		700 ×	2
   			7

   
   Hence, Sum lent at 6% = Rs. 2000.

---

---

8. 15 liters of a mixture contains 20 % alcohol and the rest water. If 3 liters of water be mixed in it, the % of alcohol in the new mixture will be —

1. 1. 17

   
   
   

   2. 16	2
      	3

   
   
   

   3. 18	1
      	2

   
   
   

   4. 15

   
   
   

---

1. View Hint View Answer Discuss in Forum

   According to question , we have
   Initially, the mixture contains 3 litre of alcohol and 12 litre of water afterwards, the mixture contains 3 litre of alcohol and 15 litre of water.
   

   ∴ Percentage of alcohol =		3	× 100		%
   		18

   Correct Option: B

   According to question , we have
   Initially, the mixture contains 3 litre of alcohol and 12 litre of water afterwards, the mixture contains 3 litre of alcohol and 15 litre of water.
   

   ∴ Percentage of alcohol =		3	× 100		%
   		18

   Hence , Required Percentage of alcohol = 16	2	%
   	3

---

9. In what ratio must a grocer mix sugar at 72 paise per kg with sugar at 48 paise per kg. So that by selling the mixture at

   63 paise per kg he may gain	1	of his out-lay ?
   	6

1. 1. 1 : 3

   
   
   

   2. 3 : 1

   
   
   

   3. 2 : 3

   
   
   

   4. 3 : 2

   
   
   

---

1. View Hint View Answer Discuss in Forum

   According to question ,
   

   	1 +	1		= 1	1	of the cost price of a kg of the mixture = 63 paise
   		6			6

   ∴ Cost price of a kg of the mixture =	63		= 54 paise
   	1	1
   		6

   Correct Option: A

   According to question ,
   

   	1 +	1		= 1	1	of the cost price of a kg of the mixture = 63 paise
   		6			6

   ∴ Cost price of a kg of the mixture =	63		= 54 paise
   	1	1
   		6

   
   Now, applying the given formula, we have
   

   The required answer =	54 – 48	= 1 : 3.
   	72 – 54

---

---

10. A dishonest milkman professes to sell his milk at C. P. But he mixes it with water and thereby gains 25 %. The % of water in the mixture is —

1. 1. 25%

   
   
   

   2. 20%

   
   
   

   3. 4%

   
   
   

   4. None of these

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Let C. P. of 1 litre of milk be Rs. 1
   Then S. P. of 1 litre of mixture = Rs. 1
   Given that :- Gain = 25%
   

   ∴ C. P. of 1 litre of mixture = Rs.		100	× 1
   		125

   
   

   C. P. of 1 litre of mixture = Rs.	4
   	5

   
   

   ∴ Ratio of milk and water =	4	:	1
   	5		5

   
   

   Correct Option: B

   Let C. P. of 1 litre of milk be Rs. 1
   Then S. P. of 1 litre of mixture = Rs. 1
   Given that :- Gain = 25%
   

   ∴ C. P. of 1 litre of mixture = Rs.		100	× 1
   		125

   
   

   C. P. of 1 litre of mixture = Rs.	4
   	5

   
   

   ∴ Ratio of milk and water =	4	:	1
   	5		5

   ∴ Percentage of water in the mixture =		100 × 1		%
   		5

   
   Hence, percentage of water in the mixture = 20 %

---