Fractions Class 6 RS Aggarwal Exe-4G Word Problems Goyal Brothers Prakashan ICSE Foundation Maths Solutions. We provide step by step Solutions of ICSE Class-6 **Foundation RS Aggarwal Mathematics** of Goyal Brothers Prakashan. Visit official Website **CISCE** for detail information about ICSE Board Class-6 Mathematics.

## Fractions Class 6 RS Aggarwal Exe-4G Word Problems Goyal Brothers Prakashan ICSE Foundation Maths Solutions

Board | ICSE |

Publications | Goyal brothers Prakashan |

Subject | Maths |

Class | 6th |

Ch-4 | Fraction |

Writer | RS Aggrawal |

Book Name | Foundation |

Topics | Solution of Exe-4G |

Academic Session | 2023 – 2024 |

### Word Problems on Fractions

Fractions Class 6 RS Aggarwal Exe-4G Goyal Brothers Prakashan ICSE Foundation Maths Solutions.

**Page- 83**

**Exercise- 4G**

**Que-1: A man earns Rs 18720 per month and spends 5/6 of his income. Find his monthly (i) expenditure (ii) saving.**

**Solution-** (i) It is given that he spends 5/6 of 18720 Rupees.

So, 5/6 of 18720 Rupees :-

= 5/6 x 18720

= 5 x 3120

= 15600 Rupees

His monthly expenditures is 15600 Rupees Ans.

###### (ii) His saving,

= monthly income – monthly expenditure.

= (18720 – 15600) Rupees

= 3120 Rupees

His monthly savings = 3120 Rupees. Ans

**Que-2: A water tank can hold 56*(1/4) litres of water. How much water is contained in the tank when it is 8/15 full?**

**Solution- **The total capacity of the water tank is 225/4 litres.

To find the amount of water when the tank is 8/15 full, we multiply the total capacity of the tank (225/4 litres) by the fraction representing the tank’s fill level (8/15).

= (225/4) × (8/15)

= (225 × 8) / (4 × 15)

= 1800 / 60

= 30 litres. Ans

Hence, when the tank is 8/15 full, it contains 30 litres of water.

**Que-3: After reading 5/8 of a book, 168 pages are left. How many pages are there in all in the book?**

**Solution- **Let total book is 1 part

Read = 5/8 parts

Unread = [1 – ( 5/8)] parts

3/8 parts

According to the question,

(3/8) parts = 168 pages

1 part = (168 × 8)/3 pages

448 pages

**∴**** Total number of pages in the book is 448.**

**Que-4: 2/3 of a students in a class are boys and the rest are 17 girls.**

(i) How many boys are there in a class?

**(ii) What is the total strength of a class?**

(i) How many boys are there in a class?

**Solution- **(i) Let x be the total strength of the class

No. of boys= 2x/3 ; No. of girls= 17

x = (2x+51)/3

3x = 2x+51

3x – 2x = 51

x = 51

No. of boys = 2/3 of 51

= 34 Ans.

(ii) means 1/3 are girls

So, 1/3 = 17.

2/3 = 1/3 + 1/3 = 17 + 17

= 3/4 boys are in the class.

total strength of class = 17 + 34

= 51 Ans.

**Que-5: A man earns Rs 25440 per month. He spends 1/4 of it on house rent, 3/8 on food and clothes, 1/10 on insurance and 1/5 on other items. How does he save each month?**

**Solution- **Total earning in 1 month = ₹25440

Money spent on rent is 1/4 of total earning = 1/4×25440

= ₹6360

Money spent on food is 3/8 of total earning = ₹ 3/8×25440

= ₹9540

Money spent on insurance is 1/10 of total earning = ₹ 1/10×25440

= ₹2544

Money spent on other items is 1/5 of total earning = ₹ 1/5×25440

= ₹5088

Therefore, the total money spent = ₹ (6360+9540+2544+5088)

= ₹23532

So, money saved by the man = ₹(25440-23532)

= ₹1908

Hence, the man saves ₹1908 each month.

**Que-6: An objective test was given to a group of 168 students. It was found that 5/6 of the students gave all correct answers. How many students made 1 or more mistakes?**

**Solution- **Group of students 168.

Students give correct answers = 5/6 of 168

students give correct answers = 5/6 x 168

= 140 students.

No. Students who made mistakes. (168-140) = 28 students.

Hence, 28 students made mistakes.

**Que-7: In an orchard, 1/3 of the trees are guava trees, 1/8 are bananas trees and the rest are mango trees. If there are 117 mango trees in the orchard, how many trees in all there?**

**Solution-** Let there are n trees in an orchid

Given 1/3 of the trees are guava and 1/8 of the trees are banana

Remaining are Mango i.e.,

n − n/3 − n/8 = Mango trees

Given Mango trees =117

117 = (24n−8n−3n)/24

117 = 13n/24

n = 9×24

n = 216

There are 216 trees in the orchid.

**Que-8: In a school, 1/25 of a students were absent on a certain day. If 720 students were present on that day, what is the total number of students in the school?**

**Solution- **Given that 720 students were present on that day, we can set up the following proportion to find the total number of students in the school:

24/25 = 720/x Where x represents the total number of students in the school.

We can solve this proportion for x:

x = (720 X 25)/24

x =18000/24

x = 750

Therefore, the total number of students in the school is 750.

**Que-9: The products of three numbers is 7*(1/2). If two of them are 1*(1/7) and 3*(3/4), find the third number.**

**Solution- **let the third number be x

15/2 = 8/7 × 15/4 × x

15/2 = 2/7 × 15 × x

x = 15/2 × 7/2 × 1/15

x = 7/4 = 1*(3/4)

** -: end of Fractions Class 6 RS Aggarwal Exe-4G Word Problems Goyal Brothers Publication :–**

**Return to :- ICSE Class -7 RS Aggarwal Goyal Brothers Math Solutions**

Thanks

Please share with yours friends if you find it helpful