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Question
If 600 rupees buy 15 bunches of feed, how many will 1280 rupees buy?
Solution 1
Let us suppose x bunches of feed can be bought for 1280 rupees.
The number of bunches of feed and their cost vary in direct proportion.
∴ `15/600 = "x"/1280`
⇒ x = `(15 xx 1280)/600`
⇒ x = `(15 xx128)/60`
⇒ x = `(1920)/60`
x = 32
Hence, 32 bunches of feed can be bought for 1280 rupees.
Solution 2
We are given that 600 rupees can buy 15 bunches of feed.
First, find the cost of 1 bunch:
⇒ `600/15 = 40` rupees per bunch
Now, calculate how many bunches 1280 rupees can buy:
⇒ `1280/40 = 32`
Thus, 1280 rupees can buy 32 bunches of feed.
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