Maths-

General

Easy

Question

# Arun and Kiran work in a banquet hall. Arun earns a 20% commission on his food sales. Kiran earns a weekly salary of Rs 625 plus a 10% commission on his food sales . What amount of food sales will result in Arun and Kiran earning the same amount for the week ?

Hint:

### ○ Form the equation according to given information..

○ Take variable values as x or any alphabet.

○ Solve the equation to get value of x.

○ Percentage x of y is given by

y

## The correct answer is: ⇒ x = 6250

### ○ Given:

Arun earns a 20% commission on sales.

Kiran earns a weekly salary of Rs. 625 plus a 10% commission on sales.

○ Step 1:

○ Let the total food sale be Rs. x.

∴ Arun earning will be equal to,

20% commission on total food sale

20% of x

x

0.2x

Kiran earning will be equal to,

weekly salary + 10% commission on total food sale

625 + 10% of x

625 + x

625 + 0.01x

○ Step 2:

○ Equate the salary of Arun and Kiran.

0.2x = 625 + 0.1x

0.2x - 0.1x = 625

0.1x = 625

x =

x = 6250

- Final Answer:

Hence, Rs. 6250 amount of food sales results in same earning of both at end of the week.

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