NCTB Class 6 Math Chapter Two Exercise 2.1 Solution by Math Expert. Bangladesh Board Class 6 Math Solution Chapter 2 Ratio’s & Percentages Exercise 2.1 Solution.

Board |
NCTB |

Class |
6 |

Subject |
Mathematics |

Chapter |
2 |

Chapter Name |
Ratio’s & Percentages |

Exercise |
2.1 Solution |

__Exercise -2.1__

**(1)Express the following pairs of number as the ratio of the first and second quantities:**

**(1) (c) 1year 2momths and 7 months**

=1 year 2month: 7m

= (12+2) :7

= 14:7

= 2:1 Answer.

**(1)(d) 7 kg and 2kg 300 gram**

7kg : 2kg 300gm.

= (7×1000) : (2×1000+300)

= 7000:2300

= 70:23 Answer.

**(2)Simplify the following ratios:**

(2) (a) 9:12

= 3:4

(2) (b) 15:21

= 5:7

(2) (c) 45: 36

= 15:12

= 5:4

(2)(d) 65:26

= 5:2 Answer.

**(3) Fill in the gaps of the following equivalent ratios:**

**(4) The ratio of length and breadth of a hall room is 2:5. Putting the possible values of length and breadth in the gaps, complete the following table.**

Breadth of hall room (m.) |
10 | 40 | 160 | ||

Length of hall room (m.) |
25 | 50 | 200 |

**Solution:-**

Breadth of hall room (m.) |
10 | 20 |
40 | 80 |
160 |

Length of hall room (m.) |
25 | 50 | 100 |
200 | 400 |

**(5) Identify the equivalent ratios of the followings:**

Solution:- 12:18 = 2:3

6:18 = 2:6

= 1:3

15:10 = 3:2

3:2 = 3:2

6:9 = 2:3

2:3 = 2:3

1:3 =1:3

2:6 = 1:3

12:8 = 3:2

Therefore, 12:18; 6:9; 2:3 are equivalent

6:18, 2:6, 1:3 are equivalent

15:10, 3:2’ 12:8 are equivalent.

**(7) Express the ratio 9:16 as inverse ratios:**

Solution:- 9:16 — Inverse Ratio = 16:9

**(8) Which one of the following ratios are unit ratios:**

(8) (a) 16: 13

= 16:13 = This is not

(8) (b) 13:17

= 13:17 = This is not

(8) (c) 21:21 = 1:1 = This is unit ratio.

**(9) Divide TK. 550 in the ratios of 5:6 and 4:7.**

**(10) The ratio of the ages of father and son is 14:3. If the age of father is 56 years, what is the age of the son?**

**(11) The sum of two numbers is 630. Their ratio is 10:11. Determine two numbers.**

**(12) The ratio of the prices of two books is 84, what is the price of the first book?**

**(13) In the golden ornaments of 20grams of 18 carate the ratio of gold and alloy is 3:1. Determine the quantity of gold and alloy of those armaments.**

**(14) The ratio of time of coming and going to school from houses of two friends is 2:3. If the distance of school from the house of the first friend is 5 km., what is the distance of school from the house of the second friend?**

**(15) The ratio of milk and sugar in frumenty is 7:2. In frumenty the quantity of sugar is 4kg. What is the quantity of milk?**

**(16) The ratio of the prices of two computers is 5:6. If the price of the first computer is TK. 25,000/-, what is the price of the second computer? In case of price hike if the price of the first computer is increased by TK. 5,000/-, what type of ratio of their prices will be? **