Question

Upendra earns rs 1200 more profit by selling of black and white television allowing 10% discount instead of 15 %discount on the marked price find the marked price and selling price of the television at a discount of 5%

Answer 1

Answer:-

Let the marked price be "M" and selling price be "S" when he sells at the discount of 15%.

According to the question,

$M \times \frac{(100 - 15)}{100} = S \\ \\ \frac{85M}{100} = S \\ \\ S = \frac{17M}{20} \: - equation \: (1)$

When he sells at a discount of 10% he would earn Rs. 1200 more.

Hence,

$M \times \frac{(100 - 10)}{100} = S + 1200$

Substitute "S" value here,

$\frac{9M}{10} = \frac{17M}{20} + 1200 \\ \\ \frac{9M}{10} - \frac{17M}{20} = 1200 \\ \\ \frac{18M - 17M}{20} = 1200 \\ \\ M = 2400$

Now,

Substitute "M" value in equation (1)

$s = \frac{17M}{20} \\ \\ S = \frac{17(2400)}{20} \\ \\ S = 2040$

Hence,

Selling price at a discount of 5% is,

$2040 \times \frac{(100 - 5)}{100} = 2040 \times \frac{95}{100} \\ \\ = 1938$

Hence, the selling price at a discount of 5% is Rs.1938.