Question

The average price of three items is Rs. 14,265. If their prices are in the ratio 7 : 9 : 11, then the price of the costliest item is:

• A. Rs. 19,875
• B. Rs. 16,235
• C. Rs. 14,875
• D. Rs. 17,435

Answer 1

Answer:

D. Rs. 17,435

Solution: Given Average price of three items = Rs.14265 Ratio of their price = 7 ∶ 9 ∶ 11 Formula used Average = total sum of items/number of items Calculation Let items be x1, x2, x3 Price of item be x Price of x1 article = 7x Price of x2 article = 9x Price of x3 article = 11x Total sum of items = Average × number of items ⇒ 7x + 9x + 11x = 14265 × 3 ⇒ 27x = 42795 ⇒ x = 1585 The price of costliest item = 1585 × 11 ⇒ 17,435 ∴ The price of costliest item is Rs. 17,435. Alternate Method: 14,265 × 3 = 27P 1P = 1585 11P = 17435 ∴ The price of costliest item is Rs. 17,435.