Question

the selling price of a cake in a shop was reduced by 12% during a Christmas sale

Answer 1

SOLUTION

GIVEN

The selling price of a cake in a shop was reduced by 12% during a Christmas sale.

On account of New Year, the price was further reduced by 12.5%

TO DETERMINE

The total discount percentage from the original price of the cake

EVALUATION

Let the original price of the cake = Rs 100P

First the selling price of a cake in a shop was reduced by 12% during a Christmas sale

After reduction in price during the Christmas sale

$\displaystyle \sf{ =Rs. \: \: 100P \times \frac{12}{100} }$

$\displaystyle \sf{ =Rs. \: \: 12P }$

So price after reduction

= Rs 100P - Rs 12P

= Rs 88P

Next On account of New Year, the price was further reduced by 12.5%

Thus in New year reduction in price

$\displaystyle \sf{ =Rs. \: \: 88P \times \frac{12.5}{100} }$

$\displaystyle \sf{ =Rs. \: \:11P }$

So price after reduction

= Rs 88P - Rs 11P

= Rs 77P

Thus total discount

= Rs 100 P - Rs 77P

= Rs 23P

Thus the required discount percentage

$\displaystyle \sf{ = \frac{23P}{100P} \times 100\% }$

$\displaystyle \sf{ =23 \: \% }$

FINAL ANSWER

The total discount percentage from the original price of the cake = 23%

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