Q1
How do we share ₹300 in ratio 2:3?
A₹120 and ₹180
B₹150 and ₹150
C₹100 and ₹200
D₹200 and ₹100
ICSEClass 7 (ICSE)MathematicsCh 6 · Topic 1
Ratio and Proportion (Including Sharing in a Ratio)
Ratios compare quantities, proportions show equal ratios, and sharing in a ratio divides a total amount according to given parts.
Core concept
To share an amount in a ratio, like sharing ₹300 in the ratio 2:3, we first add the parts (2+3=5), then divide the total by this sum.
How it works
Each part's share is found by multiplying the total by (its ratio part ÷ total parts), so 2/5 of ₹300 = ₹120 and 3/5 of ₹300 = ₹180.
Why it matters
Proportions help us verify if two ratios are equivalent, useful for scaling recipes, maps, or model sizes.
Key detail
Understanding ratio sharing is useful in real life, like dividing profits, mixing ingredients, or splitting costs fairly.
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Quick notes
• Sharing in a ratio divides a total by given parts.
• ₹300 in ratio 2:3: total parts = 5.
• 2/5 of 300 = ₹120; 3/5 of 300 = ₹180.
• Each share uses (part ÷ total parts) × total.
• Proportions verify equivalent ratios.
• This helps scale recipes or maps.
• Ratio sharing helps split profits or costs.
• It's useful for many real-life divisions.