Question

A shopkeeper offers his customers successive discounts of 10% and 5 % respectively. If the marked price of an article be Rs 400, find its selling price?

Answer 1

Answer:

The selling price of an article is Rs.342

Step-by-step explanation:

Given:

• The marketing price of an article is Rs.400
• The discounts of an articles is 10% and 5%

To find: The selling price of an article

Solution:

Selling Price

The price a consumer pays to purchase a good or a commodity is known as the selling price.

Successive Discounts are 10% and 5%

Selling price = Marketing price × $(\frac{100 - D_{1} }{100})$× $(\frac{100 - D_{2} }{100} )$

Given that,

Marketing price = Rs. 400

Discount 1 = 10%

Discount 2 = 5%

S.P = 400 × $\frac{100-10}{100}$ × $\frac{100 - 5}{100}$

S.P = 400 × $\frac{90}{100}$ × $\frac{95}{100}$

S.P = 4 × 9 × $\frac{95}{10}$

S.P = 2  × 9  × 19

S.P = 342

Selling price = Rs. 342

Final answer:

The selling price of an article is Rs.342

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Answer 2

Concept

If the value of an object x is successively increased or decreased by a% and then by b% then the final value is given by the formula

x (1 ± a/100) (1 ± b/100)

Given

A shopkeeper offers his customers successive discounts of 10% and 5 % respectively and marked price of the article is Rs 400.

Find

we need to find the selling price of the given article.

Solution

We have

Marked price = 400

1st discount = 10%

2nd discount = 5%

Putting these values in successive percentage change formula we get

400 (1 - 10/100) (1 - 5/100)

= 400 (9/10) (19/20)

= 360 (19/20)

= 342

Hence, the selling price of the article is Rs 342.

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