Multiple choice

The average price of three items of furniture is Rs. 21,000. If their prices are in the ratio 5 : 7 : 9, then the price of the costliest item is

  1. Rs. 15,000

  2. Rs. 30,000

  3. Rs. 27,000

  4. Rs. 36,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let prices be 5x, 7x, 9x. Average = (5x+7x+9x)/3 = 21000 => 21x/3 = 21000 => 7x = 21000 => x = 3000. Costliest item is 9x = 9 * 3000 = 27000.

AI explanation

The average price of the three items is Rs. 21,000, so their total price is 21000 multiplied by 3, which equals Rs. 63,000. Since the prices are in the ratio 5 : 7 : 9, the total of the 21 ratio parts (5 plus 7 plus 9) represents Rs. 63,000, making one part equal to 63000 divided by 21, which is Rs. 3,000. The costliest item corresponds to 9 parts of the ratio, so its price is 9 multiplied by 3000, resulting in Rs. 27,000.

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