Dividing an amount in a ratio: Class 7 practice
To share an amount in the ratio a : b, divide it into a + b equal parts; one person gets a parts, the other b parts.. Read the method, follow the three worked examples, then try the six questions.
What you should know first
- Ratios
The idea behind dividing an amount in a ratio
To share an amount in the ratio a : b, divide it into a + b equal parts; one person gets a parts, the other b parts.
Step-by-step method
- Add the ratio parts.
- One part = total ÷ sum of parts.
- Multiply by each part.
Worked example 1 (Basic)
Share ₹400 between A and B in the ratio 1 : 4.
- Parts = 5, one part = ₹80
- A ₹80, B ₹320
- Answer: A ₹80, B ₹320
Worked example 2 (Standard)
Share ₹1430 between A and B in the ratio 6 : 5.
- Parts = 11, one part = ₹130
- A ₹780, B ₹650
- Answer: A ₹780, B ₹650
Worked example 3 (Challenge)
Share ₹980 in the ratio 1 : 4 : 2.
- Parts = 7, one part = ₹140
- ₹140, ₹560, ₹280
- Answer: ₹140, ₹560, ₹280
Common mistakes and misconceptions
- Dividing by one part instead of the total
- Swapping the order
Practice questions
- (Basic) Share ₹600 between A and B in the ratio 3 : 3.
- (Basic) Share ₹1800 between A and B in the ratio 7 : 3.
- (Standard) Share ₹840 between A and B in the ratio 1 : 6.
- (Standard) Share ₹3360 between A and B in the ratio 6 : 6.
- (Challenge) Share ₹550 in the ratio 4 : 3 : 4.
- (Challenge) Share ₹2990 in the ratio 6 : 6 : 1.
Answer key with full working
- Q1: Parts = 6, one part = ₹100 → A ₹300, B ₹300 → Answer: A ₹300, B ₹300
- Q2: Parts = 10, one part = ₹180 → A ₹1260, B ₹540 → Answer: A ₹1260, B ₹540
- Q3: Parts = 7, one part = ₹120 → A ₹120, B ₹720 → Answer: A ₹120, B ₹720
- Q4: Parts = 12, one part = ₹280 → A ₹1680, B ₹1680 → Answer: A ₹1680, B ₹1680
- Q5: Parts = 11, one part = ₹50 → ₹200, ₹150, ₹200 → Answer: ₹200, ₹150, ₹200
- Q6: Parts = 13, one part = ₹230 → ₹1380, ₹1380, ₹230 → Answer: ₹1380, ₹1380, ₹230
Syllabus note
This skill is listed under "Comparing Quantities" for Class 7 in the NCERT/CBSE books. ICSE, IGCSE, IB and state boards may teach it in a different chapter or year.
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.
Related practice and notes
Frequently asked questions
Which chapter is dividing an amount in a ratio in?
"Comparing Quantities", Class 7 Maths (NCERT/CBSE). Other boards may place it differently.
How were the answers checked?
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.