Maths-
General
Easy

Question

Dimple Bought a Calculator and binder that were both 15% off the original price. The
original price of binder was Rs 6.20. Justin spent a total of Rs 107. 27 . What was the
original price of the calculator?

Hint:

○ Form the equation using the given information.
○ Take variable quantity as x or any alphabet.
○ Percentage x of y is given by
not stretchy rightwards double arrow x over 100 cross times y

The correct answer is: Rs. 120


    ○ Given:
    Original price of binder = Rs.6.20
    Total money spent = Rs.107.27
    Discount  = 15% on  both
    ○ Step 1:
    ○ Find purchasing price of binder:
    It is given that original price of binder is Rs.6.20 and 15% discount is given
    So,
    The purchasing price of binder is:
    rightwards double arrow6.20 - 15% of 6.20
    rightwards double arrow6.20 -   6.20
    rightwards double arrow6.20 - 0.93
    rightwards double arrow5.27
    Purchasing price of binder = Rs. 5.27
    ○ Step 2:
    ○ Find purchasing price of calculator:
    It is given that total money spent is Rs.107.27
    So,
    rightwards double arrowPurchasing price of calculator + Purchasing price of binder = 107.27
    rightwards double arrowPurchasing price of calculator + 5.27 =  107.27
    rightwards double arrowPurchasing price of calculator  =  107.27 - 5.27
    rightwards double arrowPurchasing price of calculator  =  102
    Purchasing price of calculator is Rs. 102.
    ○ Step 3:
    ○ Find original price of calculator:
    ○ Let the original price of calculator be Rs. x.
    It is given that 15% discount is given on original price of calculator
    So,
    x - 15% of x = 102
    rightwards double arrowx - 15 over 100 space cross times x = 102
    rightwards double arrowfraction numerator 100 x space minus space 15 x over denominator 100 end fraction = 102
     85x = 102 cross times100
    rightwards double arrowx = 10200 over 85
     x = 120
    Original price of calculator is Rs. 120.
    • Final Answer:
    Hence, original price of calculator is Rs. 120..

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