Question

In a scale ,a shop reduces all its prices by 15%.calculate:
(i) the cost of an article which was originally priced at Rs.40.
(ii) the original price of an article which was sold for Rs.20.40.
​

Answer 1

SOLUTION

Given,

In a Shop reduces all its prices by 15%

1).The cost of an article which was originally priced at Rs.40

$Reduce = 15\% \: of \: 40 \\ \\ = > \frac{15}{100} \times 40 \\ \\ = > Reduce = Rs.6$

Finally reduced

=) Rs.40 - Rs.6

=) Rs.34

2).The original price of an article which was sold for Rs.20.40.

Selling price = Rs.20.40 [given]

d= 15% [reduce]

Let the original price= Rs.x

So,

$x = \frac{(s.p \times 100)}{(100 - d)} \\ \\ = > x = \frac{20.40 \times 100}{100 - 15} \\ \\ = > x = \frac{2040}{85} \\ \\ = > x = 24$

Required original price x= Rs.24

Hope it helps ☺️

Answer 2

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Reduce = 15% of Rs 40 = 0.15 x 40 = Rs 6

Price after reduced = Rs 40 - Rs 6 = Rs 36

Answer: Rs 36

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Question (ii):

Reduce = 15% x 20.40 = 0.15 x 20.40 = Rs 3.60

Price after reduced = Rs 20.40 - Rs 3.60 = Rs 17.34

Answer: Rs 17.34