Question

A person bought an old TV at rs.4800 and spent 20% of it on repairing. If he wants to make a profit of rs.1728,then what percentage should be added in purchase price?

Answer 1

Step-by-step explanation:

Given:-

• A person bought an old TV at Rs.4800.

• He spent 20% of it on repairing.

• Profit = Rs.1728

To Find:-

• The Profit percent made by him.

Solution:-

Cost price (CP) of the TV = Rs.4800

Cost on repairs = 20% of CP

$\sf = \dfrac{20}{100}\times 4800$

$\sf = 20 \times 48$

$\sf = 960$

$\sf \underline{Repair \: cost = Rs.960}$

$\sf \longrightarrow Total \: CP = 4800 + 960 = Rs.4896$

$\sf Net \: Profit = 1728$

$\sf \longrightarrow SP = Total \: CP + Profit$

$\sf SP = 4896 + 1728 = 6624$

$\sf\longrightarrow Profit = SP - CP$

$\sf Profit = 6624 - 4896 = 1728$

$\sf Profit\% = \dfrac{Profit}{CP}\times 100$

$\sf = \dfrac{1728}{4896}\times 100$

$\sf = 35.29\%$

$\underline{\boxed{\sf \longrightarrow Profit\% = 35.29\%}}$