Question

A Shopkeeper allows two
suscessine discount of 12% and
5%. Il the selling price of
article is Rs. 418. and marks
price​

Answer 1

Answer:

The marked price of an article is Rs. 500.

Step-by-step explanation:

The formula of selling price in case of two successive discounts is:

$SP=MP[1-\frac{d_{1}}{100} ][1-\frac{d_{2}}{100} ]$

Here d₁ and d₂ are the two discounts.

Given:

SP = Rs. 418

d₁ = 12%

d₂ = 5%

Compute the value of the marked price of an article as follows:

$SP=MP[1-\frac{d_{1}}{100} ][1-\frac{d_{2}}{100} ]\\418=MP[1-\frac{12}{100} ][1-\frac{5}{100}]\\418=MP\times0.88\times0.95\\MP=\frac{418}{0.88\times 0.95} \\=500$

Thus, the marked price of an article is Rs. 500.