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The average price of three items of furniture is Rs 16455. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
5485
3291
7679
9873
9873
Calculate the sum of ratios (3+5+7=15). Divide the total sum (16455├Ч3) by 15, or simply 16455├Ч153тАЛ=16455├Ч0.2. The cheapest item is 16455├Ч0.2=3291.
Average price of 3 items is Rs 16455. Price ratio is 3:5:7.
Average=nтИСxiтАЛтАЛ, PricecheapestтАЛ=(RatiominтАЛ├Чx)
Calculate the sum of ratios (3+5+7=15). Divide the total sum (16455├Ч3) by 15, or simply 16455├Ч153тАЛ=16455├Ч0.2. The cheapest item is 16455├Ч0.2=3291.
Students often multiply the average by the ratio sum directly without multiplying the average by the number of items (3) first.
Calculate Total Sum
Since the average of 3 items is 16455, the total sum of prices is 16455├Ч3.
Total=49365
Sum the Ratio
Given the ratio 3:5:7, the sum of the ratio units is 3+5+7=15.
Ratio┬аSum=15
Find Unit Value
Divide the total sum by the sum of the ratio parts to find the value of one part.
1Unit=1549365тАЛ=3291
Calculate Cheapest Item
The cheapest item corresponds to the smallest ratio part (3).
Price=3├Ч3291=9873
D is correct because the total price is 49365, which divided by 15 parts equals 3291 per unit, making the cheapest item 3├Ч3291=9873.
This concept of dividing totals using ratios is foundational for Partnership and Mixture/Alligation problems in Quantitative Aptitude.
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