Question

A man sold two boxes of chocolates at rupees 150 each making a profit of 25% on one and loss of 25% on other.
a) cost price of the each box of chocolate
b) the overall profit or loss
c) profit or loss percent

Answer 1

Solutions :-

Given :

A man sold two boxes of chocolates at rupees 150 each.

Find the cost price of one box of chocolates making a profit of 25% :-

C.P = (S.P × 100)/(100 + Profit)
= (150 × 100)/(100 + 25)
= 15000/125
= 120

Find the cost price of other box of chocolates at a loss of 25% :-

C.P = (S.P × 100)/(100 - loss)
= (150 × 100)/(100 - 25)
= 15000/75
= 200

Therefore,
Total selling price = Rs (150 + 150) = Rs 300
Total cost price = Rs (120 + 200) = Rs 320

Cost Price is greater than the selling price. Therefore, Loss.

Loss = C.P - S.P
= Rs (320 - 300)
= Rs 20

Loss % = (loss × 100)/C.P %
= (20 × 100)/320 %
= 2000/320 %
= 6.25 %

Hence,
a) Cost price of one box of chocolates = Rs 120
Cost Price of other of chocolates = Rs 200
b) The overall loss = Rs 20
c) Loss percent = 6.25%

Answer 2

$\huge\bf\pink {Hey \: there}$


Question - A man sold two boxes of chocolates at rupees 150 each making a profit of 25% on one and loss of 25% on other.
a) cost price of the each box of chocolate
b) the overall profit or loss
c) profit or loss percent


▶ Given :


SP of two boxes of chocolates = Rs. 150


Profit % of Box 1 = 25 %


Loss % of Box 2 = 25 %


▶ Solution :


a) CP of Box 1 = SP × 100 / 100 + P%


= 150 × 100 / 100 + 25


= 150 × 100 / 125


= 15000 / 125


= Rs. 120


b) CP of Box 2 = SP × 100 / 100 - L%


= 150 × 100 / 100 - 25


= 150 × 100 / 75


= 15000 / 75


= Rs. 200



b) Total CP = 120 + 200


= Rs. 320


Total SP = 150 + 150


= Rs. 300


As Cost Price is less than the selling price, we get loss


Loss = CP - SP


= 320 - 300


= Rs. 20


c) Loss % = Loss / CP × 100


= 20 / 320 × 100


= 6.25 %



$\huge\bf\green {Thanks}$


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