Question

Radhika bought a new mobile phone and saved ₹ 1000 when a discount of 10$\%$ was given. What was the price of the mobile phone before the discount? What was the selling price of the phone?
[4 MARKS]

Answer 1

Steps: 2 Mark
Price before discount: 1 Mark
Selling price: 1 Mark

Given that,
Radhika bought a new mobile phone and saved ₹1000 when a discount of 10$\%$ was given.
We can infer from the above statement that 10$\%$ of the original price = ₹ 1000

10$\%$ of the original price = ₹ 1000

Let the price be P.

$\Rightarrow 10\%\text{of P = 1000}$

$\Rightarrow \frac{10}{100}\times \text{P = 1000}$

$\Rightarrow \text{P}=\frac{1000\times 100}{10}$

$\Rightarrow P$ = ₹ 10000
Hence the original price of the mobile phone is ₹ 10000.

Now, the original price of the mobile phone is ₹ 10000.
Discount given = ₹ 1000
$\therefore$ The Selling price or the price at which the phone was sold = Original Price - Discount
On substituting the values we get:
Selling Price = 10000 - 1000 = ₹ 9000

Hence, the mobile phone was sold at ₹ 9000.