Question

The price of watch including 12% of VAT is rupees 560. What is its basic price?​

Answer 1

Answer:

The basic price of the watch is Rs. 500.

Step-by-step explanation:

Given:

VAT rate = 12%

Price including VAT = Rs. 560

To find:

The basic price

Solution :

Let the basic price be y

$\boxed{\sf{(12\% \: of \: y ) + y = 560}}$

$\sf{\longrightarrow} \: \left(\dfrac{12}{100} \times y\right) + y = 560$

$\sf{\longrightarrow} \: \dfrac{12y}{100} + y = 560$

$\sf{\longrightarrow} \: \dfrac{112y}{100} = 560$

$\sf{\longrightarrow} \: 112y = 560 \times 100$

$\sf{\longrightarrow} \: 112y = 56000$

$\sf{\longrightarrow} \: y = \dfrac{56000}{112}$

$\sf{\longrightarrow} \: y = 500$

Basic price = Rs. 500

Therefore, the basic price of the watch is Rs. 500.

Answer 2

Solution

Let the basic price be y

(12%ofy)+y=560

y = 560⟶(12/ 1100×y)+y=560

= 560 ⟶ 12y/100 +y=560

= 560⟶ 112y/100

=560

112y = 560 ×100⟶112y=560×100

112y = 56000⟶112y=56000

y= 56000/112

y = 500

y=500