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The average price of three items of furniture is Rs 15885. If their prices are in the ratio 3:5:7, the price of the costliest item (inRs) is
Question

The average price of three items of furniture is Rs 15885. If their prices are in the ratio 3:5:7, the price of the costliest item (inRs) is

A.

7413

B.

5295

C.

3177

D.

22239

Correct option is D

Given:

The average price of three items of furniture = Rs 15885

The ratio of their prices = 3:5:7

Formula Used:

Total price of the three items = Average price × Number of items

Costliest item price = (Highest ratio partTotal ratio parts\frac{Highest \ ratio\ part }{ Total\ ratio\ parts}​) × Total price

Solution:

Total price of three items = 15885 × 3 = Rs 47655

Total parts in ratio = 3 + 5 + 7 = 15

Price of costliest item = (715\frac{7}{15}​) × 47655

= Rs 22239.00

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