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The average price of three items of furniture is Rs 16830. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
7854
5610
3366
10098
10098
Sum of ratios 3+5+7=15. Total price 16830├Ч3=50490. Value of 1 part =50490/15=3366. Cheapest item = 3├Ч3366=10098.
Average price of 3 furniture items is Rs 16830. Their prices are in the ratio 3:5:7.
Sum┬аof┬аitems=Average├ЧCount
Sum of ratios 3+5+7=15. Total price 16830├Ч3=50490. Value of 1 part =50490/15=3366. Cheapest item = 3├Ч3366=10098.
Many students mistake the total of ratios (15) for the number of items (3) and calculate 16830/15 directly, or forget to multiply the average by 3 to find the total sum.
Calculate Total Price
Since the average of 3 items is Rs 16830, find the total cost by multiplying the average by the number of items.
Total=16830├Ч3=50490
Sum the Ratio Parts
The ratio is 3:5:7. Add these parts to find the total number of parts in the sum.
3+5+7=15┬аparts
Find Value of One Part
Divide the total price by the total number of ratio parts.
1┬аpart=1550490тАЛ=3366
Determine Cheapest Price
The cheapest item corresponds to the smallest ratio part, which is 3.
3├Ч3366=10098
D is correct because the calculated price for the cheapest item (3 parts) is 10098.
This ratio-to-sum method is identical to problems involving partnership profits or weighted mixtures; always calculate the 'value of one unit/part' first.
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