Sharing an amount in a ratio
Two cousins win ₹350. They share it in the ratio 3 : 4. How much does each get?
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Step 1 of 3
- ₹350 split into 3 + 4 = 7 parts.
- Each part is ₹50. Three parts: ₹150.
- Four parts: ₹200. Check: 150 + 200 = 350.
The rule
One cousin gets ₹150 and the other gets ₹200.
Count the parts first. 3 : 4 means 3 + 4 = 7 parts. Divide the total by 7 to find one part: 350 ÷ 7 = ₹50. Then multiply one part by each number in the ratio. 3 × 50 = ₹150 and 4 × 50 = ₹200.
A ratio with three numbers works the same way. ₹240 shared 1 : 2 : 5 is 1 + 2 + 5 = 8 parts. One part is 240 ÷ 8 = ₹30. The shares are ₹30, ₹60 and ₹150.