Class 6 Dividing in a Given Ratio — practice questions with answers
Ratio and Proportion · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. In the ratio 2 : 3, how many equal parts are there in all?
A23
B5
C1
D6
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Answer: B) 5
Total parts = 2 + 3 = 5. (6 multiplies the terms instead of adding them.)
2. ₹600 is shared among Arjun, Bhavna and Chirag in the ratio 1 : 2 : 3. How much does Chirag get?
A₹200
B₹300
C₹180
D₹100
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Answer: B) ₹300
Parts = 1 + 2 + 3 = 6, one part = ₹100. Chirag gets 3 parts = ₹300.
3. Two partners invest ₹20,000 and ₹25,000 in a stall and share a profit of ₹4,500 in the ratio of their investments. How much does the first partner get?
A₹2,500
B₹1,800
C₹2,000
D₹2,250
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Answer: C) ₹2,000
20,000 : 25,000 = 4 : 5. Parts = 9, one part = 4,500 ÷ 9 = ₹500. First partner = 4 × 500 = ₹2,000.
4. The first and second prizes in a painting contest total ₹5,000 and are in the ratio 3 : 2. How much more is the first prize?
A₹1,000
B₹2,000
C₹500
D₹3,000
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Answer: A) ₹1,000
One part = 5,000 ÷ 5 = ₹1,000. Prizes ₹3,000 and ₹2,000; difference = ₹1,000.
5. A ribbon is cut into two pieces in the ratio 5 : 3. The longer piece is 20 cm longer than the shorter one. How long was the ribbon?
A40 cm
B60 cm
C160 cm
D80 cm
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Answer: D) 80 cm
Difference = 5 − 3 = 2 parts = 20 cm, so one part = 10 cm. Ribbon = 8 parts = 80 cm.