Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
The average price of three items of furniture is Rs 15765. If their prices are in the ratio 3:5:7, the price of the costliest item (in Rs) is
22071
7357
3153
5255
22071
Calculate the sum as 15765├Ч3=47295. The costliest item is 7 parts out of total 15 (3+5+7). Calculate 157тАЛ├Ч47295=7├Ч3153=22071.
Average price of three items is Rs 15765. The prices are in the ratio 3:5:7.
Average=nтИСpricesтАЛ,Sum=n├ЧAverage
Calculate the sum as 15765├Ч3=47295. The costliest item is 7 parts out of total 15 (3+5+7). Calculate 157тАЛ├Ч47295=7├Ч3153=22071.
Confusing the average with the sum; always multiply the average by the number of items (3) before applying the ratio components.
Calculate Total Price
Since the average of 3 items is 15765, the total sum is 3 times the average.
3├Ч15765=47295
Sum of Ratio Components
The ratio is given as 3:5:7. Sum the parts to determine the denominator for the fraction.
3+5+7=15
Calculate Value of One Part
Divide the total price by the total number of ratio parts.
1547295тАЛ=3153
Identify Costliest Item
The costliest item corresponds to the largest ratio part, which is 7.
7├Ч3153=22071
A is correct because the total price of 47295 distributed in ratio 3:5:7 yields 22071 for the largest share.
This ratio-summation method is fundamental to Mixture and Alligation problems, where similar balancing of total quantities is required.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants