The organisers of an essay competition decide that the 1st, 2nd ,3rd ,4th participants will get money and the money will be given in the ratio of 9:7:5:3 . The total participants are 15 and the amount the organisers have is ₹3000. Find the amount of money given to the 1st position, 2nd position, 3rd position, 4th position participants?
Question
The organisers of an essay competition decide that the 1st, 2nd ,3rd ,4th participants will get money and the money will be given in the ratio of 9:7:5:3 . The total participants are 15 and the amount the organisers have is ₹3000. Find the amount of money given to the 1st position, 2nd position, 3rd position, 4th position participants?
Solution
To solve this problem, we first need to understand the ratio and how it applies to the total amount of money available.
Step 1: Add up the parts of the ratio. The ratio is 9:7:5:3, so we add those numbers together to find the total parts. 9 + 7 + 5 + 3 = 24 parts
Step 2: Determine the value of each part. The total amount of money is ₹3000, so we divide this by the total number of parts to find the value of each part. ₹3000 ÷ 24 parts = ₹125 per part
Step 3: Multiply the value of each part by the number of parts for each position. 1st position: 9 parts x ₹125/part = ₹1125 2nd position: 7 parts x ₹125/part = ₹875 3rd position: 5 parts x ₹125/part = ₹625 4th position: 3 parts x ₹125/part = ₹375
So, the 1st position participant will receive ₹1125, the 2nd position participant will receive ₹875, the 3rd position participant will receive ₹625, and the 4th position participant will receive ₹375.
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