Question

Dinesh bought an article for Rs. 374, which included a discount of 15% on the marked price and a sales-tax of 10% on the reduced price. Find the marked price of the article.

No spam
​

Answer 1

$\huge\underline\mathbb {SOLUTION:-}$

Let the marked price be Rs. 100.

$\underline \mathsf \blue {Therefore \: :-}$

Discount = 15% of Rs.100

$\implies \mathsf {\frac{15}{100}\times 100}$

$\implies \mathsf {Rs.15}$

Sale Price = Rs.100 - Rs.15

$\implies \mathsf {Rs.85}$

Sales-tax = 10% of Rs.85

$\implies \mathsf {\frac{10}{85}\times 100}$

$\implies \mathsf {Rs.8.50}$

$\underline \mathsf \blue {Therefore, \: :-}$

Price paid by Dinesh for the article:

$\implies {Rs.85 + Rs.8.50}$

$\implies {Rs.93.50}$

↪When Dinesh paid = Rs. 93.50

And, Marked Price = Rs.100

↪When Dinesh paid = Rs.1

And, Marked Price = $Rs.\:\mathsf {\frac{100}{93.50} }$

↪When Dinesh paid = Rs. 374

And, Marked Price Rs. =

$\implies \mathsf {\frac{100}{93.50} \times 374 = Rs.400 }$

• Hence, the marked price of the article is Rs.400

Here:

• Marked Price is also written as M.P.

Answer 2

$\huge\mathfrak\red{Answer:-}$

Given:

Cost of one article = 374 which included a discount of 15% on the marked price and a sales-tax of 10% on the reduced price.

To Find:

The marked price of the article.

Solution:

Let marked price be Rs. x

Discount = 15%

Rate of Sales Tax = 10%. 

Discount on Rs. x = 15% of x

= (15/100) x

= 15x/100.

Price after discount = x – 15x/100

= 85x/100.

Sales Tax = 10% of 85x/100

= (10/100)(85x/100)

= 85x/1000.

Price including sales tax = 85x/100 + 85x/1000

= 935x/1000.

As per question,

935x/1000 = Rs. 374

Or,    

x = Rs. 374(1000/935)

= Rs. 400.

Hence, The marked price of the article is Rs.400