Question

A basket consists of Apples and oranges in the ratio of 6: 5. If x apples and (x + 2) oranges were rotten then the ratio of the fresh apples and oranges is 4: 3. Find the total number of rotten apples and oranges in the basket and difference between apples and oranges in the basket is 8 ?.

• A. 26
• B. 25
• C. 18
• D. 21

Answer 1

Answer:

C. 18

Number of apples in the basket = 6a

Number of oranges in the basket = 5a

difference between apples and oranges in the basket is 8

6a - 5a = 8

a = 8

Number of apples in the basket = 6a = 48

Number of oranges in the basket = 5a = 40

If x apples and (x + 2) oranges were rotten then,

Number of fresh apples to oranges are in the ratio 4: 3

$lfrac{(48 - x)}{(40 - (x + 2)}=\frac{4}{3}$

(144 - 3x) = (160 - 4x - 8)

-8 = -x 

x = 8

Total number of rotten oranges and apples in the basket is (8 + 8 + 2) = 18

Hence, option(3) is correct.