Question

Veena made a profit of 25% by selling a TV at Rs.3000. If she had to pay Rs.500 more for the set, what should be her new selling price in order to make the same % profit?

Answer 1

Step-by-step explanation:

Given:-

• Selling price of a TV = Rs.3000

• Profit made on Selling the TV = 25%

To Find:-

• The new SP if she had to pay Rs.500 more and at the same Profit%

Solution:-

Let the cost price (CP) of the TV be Rs. x

Profit = 25%

$\sf Selling \: price \:(SP) = \dfrac{100 + Profit\%}{100}\times CP$

$\sf \implies 3000 = \dfrac{100 + 25}{100}\times x$

$\sf \implies 3000= \dfrac{125x}{100}$

$\sf \implies 3000= \dfrac{5x}{4}$

$\sf \implies x = \dfrac{3000 \times 4}{5}$

$\sf \implies x = 2400$

∴ CP of the TV = Rs.2400

If she had to pay Rs.500 more for the TV, then

New CP = 2400 + 500 = 2900

As, she has to make same Profit%

Profit % = 25%

$\sf New \: SP = \dfrac{100 + Profit\%}{100}\times New \: CP$

$\sf = \dfrac{100 + 25}{100}\times 2900$

$\sf = 125 \times 29$

$\sf = 3625$

$\underline{\boxed{\sf \therefore New \: Selling \: Price = Rs.3625}}$