Question

Q8. The salaries of a, b, and c are in the ratio of 1 : 2 : 3. The salary of b and c together is rs. 6000. By what percent is the salary of c more than that of a

Answer 1

Let the salaries of A, B and C be x, 2x and 3x respectively

Now, we will find the value or x

2x + 3x = 6000 (Because it is said that salary of B amd C together is Rs. 6000)

☛ 5x = 6000

∴ x = 1200


∴ Salary of A = x

= Rs. 1200


∴ Salary of B = 2x

= 2 × 1200

= Rs. 2400


∴ Salary of C = 3x

= 3 × 1200

= Rs. 3600


Now, excess income of salary of C over the salary of A :-

$\dfrac{3600 - 1200}{1200}$ × 100

☛ $\dfrac{2400}{1200}$ × 100

☛ $\dfrac{2400}{12}$

☛ 200


∴ Excess income of salary of C over the salary of A is 200%

Answer 2

Answer:

200%

Step By Step Explanation:

Let the salaries of A, B, and C be k , 2k and 3k respectively.

According To The Question:

2k + 3k = 6000 
⇒ 5k = 6000
⇒ k = 6000/5
⇒ k = Rs 1200

Therefore:
Salary of A = k = Rs. 1200
Salary of B = 2k = Rs 2400
Salary of C = 3k = Rs. 3600. 

Salary of C more than A in Percent:

⇒ (2400 /1200) x 100%
⇒ 2 × 100%
⇒ 200%

Hence, The required percent by which the salary of C is more than that of A is 200%.