Question

The marked price of TV of $Rs.18500.$ A dealer allows two successive discounts of $20\%$ and $5\%.$ For how much is the TV available?

Answer 1

Hint: We need to find the discounts available for the TV. So, we will first find the price of TV when the first discount is applied. Then, we will find the price of TV when the second discount is applied.

Complete step by step solution:
Let us consider the marked price of TV, $Rs.18500.$
It is given that the dealer allows two successive discounts of $20\%$ and $5\%.$
We need to find the price for which the TV is available after the discounts are applied.
Now, we need to find the price of the T V after the first discount is applied.
That us, we need to find the $20\%$ of $18500.$
We will get $\dfrac{20}{100}\times 18500=20\times 185=3700.$
So, we will get the price of the TV after the first discount is applied by subtracting $3700$ from $Rs.18500.$ That is, $18500-3700=14800.$
Now, we need to apply the second discount to find the price for which the TV is available.
We will find the $5\%$ of $14800.$
We will get the value by $\dfrac{5}{100}\times 14800=5\times 148=740.$
Now, we will subtract the discount value from the selling price with a $20\%$ discount to get the price for which the TV is available. We will get $14800-740=14060.$
Therefor, the selling price of the TV is $Rs.14060.$

Hence the TV with marked price $Rs.18500$ when two successive discounts of $20\%$ and $5\%$ are applied is available for the selling price $Rs.14060.$

Note: After finding out the discount, we should not forget to subtract it from the marked price. Sometimes, we may forget to subtract the discount and instead we consider the discount itself as the discounted price. We should make sure the discount is subtracted.