556. The population of a town increases each year by 4% of its total at the beginning of the year. If the population on 1st January 2001 was 500000, what was it on 1st January, 2004 ?

1. 1. 562432

   
   
   

   2. 652432

   
   
   

   3. 465223

   
   
   

   4. 564232

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Using Rule 17,
   Required population
   

   = P		1 +	R		T
   			100

   
   

   = 500000		1 +	4		3
   			100

   
   

   = 500000		1 +	1		3
   			25

   
   

   = 500000 ×	26	×	26	×	26	= 562432
   	25		25		25

   Correct Option: A

   Using Rule 17,
   Required population
   

   = P		1 +	R		T
   			100

   
   

   = 500000		1 +	4		3
   			100

   
   

   = 500000		1 +	1		3
   			25

   
   

   = 500000 ×	26	×	26	×	26	= 562432
   	25		25		25

---

557. The population of a village increases by 5% annually. If its present population is 4410, then its population 2 years ago was

1. 1. 4500

   
   
   

   2. 4000

   
   
   

   3. 3800

   
   
   

   4. 3500

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Using Rule 17,
   If the population of village two years ago be P₀ , then
   

   P = P0		1 +	R		T
   			100

   
   

   ⇒ 4410 = P0		1 +	5		2
   			100

   
   

   ⇒ 4410 = P0			21		2
   			20

   
   

   ⇒ 4410 =	441P0
   	400

   
   

   ⇒ P0 =	4410 × 400	= 4000
   	441

   Correct Option: B

   Using Rule 17,
   If the population of village two years ago be P₀ , then
   

   P = P0		1 +	R		T
   			100

   
   

   ⇒ 4410 = P0		1 +	5		2
   			100

   
   

   ⇒ 4410 = P0			21		2
   			20

   
   

   ⇒ 4410 =	441P0
   	400

   
   

   ⇒ P0 =	4410 × 400	= 4000
   	441

---

---

558. A TV was bought at a price of 21,000. After one year the value of TV was depreciated by 5%. Find the value of the TV after one year.

1. 1. 19,950

   
   
   

   2. 20,950

   
   
   

   3. 18,950

   
   
   

   4. 17,950

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Value of TV after one year
   = 21000 × (100 – 5)%
   

   =	21000 × 95	= Rs. 19950
   	100

   Correct Option: A

   Value of TV after one year
   = 21000 × (100 – 5)%
   

   =	21000 × 95	= Rs. 19950
   	100

---

559. Due to a price hike of 20%, 4 kg. less sugar is available for Rs. 120. What is the initial price per kg of sugar ?

1. 1. Rs. 5 per kg.

   
   
   

   2. Rs. 4 per kg.

   
   
   

   3. Rs. 6 per kg.

   
   
   

   4. Rs. 5.5 per kg.

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Original price of sugar = Rs. x/kg. (let)
   

   New price = Rs.	120x	per kg.
   	100

   
   

   = Rs.	6x	per kg.
   	5

   
   According to the question
   

   	120	-	120	= 4
   	x		6x
   			5

   
   

   ⇒	120	-	120 × 5	= 4
   	x		6x

   
   

   ⇒	120	-	100	= 4
   	x		x

   
   

   ⇒	30	-	25	= 1
   	x		x

   
   

   =	5	= 1
   	x

   
   ⇒ x = Rs. 5 per kg.

   Correct Option: A

   Original price of sugar = Rs. x/kg. (let)
   

   New price = Rs.	120x	per kg.
   	100

   
   

   = Rs.	6x	per kg.
   	5

   
   According to the question
   

   	120	-	120	= 4
   	x		6x
   			5

   
   

   ⇒	120	-	120 × 5	= 4
   	x		6x

   
   

   ⇒	120	-	100	= 4
   	x		x

   
   

   ⇒	30	-	25	= 1
   	x		x

   
   

   =	5	= 1
   	x

   
   ⇒ x = Rs. 5 per kg.

---

---

560. Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If of all the inhabitants, 25% are literate, then what percentage of the females of the town are illiterate ?

1. 1. 27.5

   
   
   

   2. 32.5

   
   
   

   3. 37.5

   
   
   

   4. 22.5

   
   
   

---

1. View Hint View Answer Discuss in Forum

   Population of town = 1000
   Males ⇒ 600
   Females ⇒ 400
   Literate males
   

   ⇒	600 × 20	= 120
   	100

   
   Total literate inhabitants
   

   =	1000 × 25	= 250
   	100

   
   ∴ Literate females
   = 250 – 120 = 130
   ∴ Required percent
   

   =	130	× 100 = 32.5%
   	400

   Correct Option: B

   Population of town = 1000
   Males ⇒ 600
   Females ⇒ 400
   Literate males
   

   ⇒	600 × 20	= 120
   	100

   
   Total literate inhabitants
   

   =	1000 × 25	= 250
   	100

   
   ∴ Literate females
   = 250 – 120 = 130
   ∴ Required percent
   

   =	130	× 100 = 32.5%
   	400

---