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
rightwards double arrow fraction numerator x space over denominator 100 end fraction space cross timesy

The correct answer is: ⇒ x = 6250


    ○ Given:
    rightwards double arrowArun earns a 20% commission on sales.
    rightwards double arrowKiran 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,
    rightwards double arrow20% commission on total food sale
    rightwards double arrow20% of x
    rightwards double arrow20 over 100 space cross times x
    rightwards double arrow0.2x
    Kiran earning will be equal to,
    rightwards double arrowweekly salary + 10% commission on total food sale
    rightwards double arrow625 + 10% of x
    rightwards double arrow625 + 10 over 100 space cross times x
    rightwards double arrow625 + 0.01x
    ○ Step 2:
    ○ Equate the salary of Arun and Kiran.
    rightwards double arrow0.2x = 625 + 0.1x
    rightwards double arrow0.2x - 0.1x = 625
    rightwards double arrow0.1x = 625
    rightwards double arrowx = fraction numerator 625 over denominator 0.1 end fraction
    rightwards double arrowx = 6250
    • Final Answer:
     Hence, Rs. 6250 amount of food sales results in same earning of both at end of the week.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.