Question

A man buys an old refrigerator and spend ₹280 on repairing. If he sells it for ₹5400, thus making a profit 8% at what price had he bought the refrigerator?​

Answer 1

Answer:

The man had bought the refrigerator at ₹ 4720.

Step-by-step-explanation:

We have given that,

Repairing price of the refrigerator = ₹ 280

Selling price of refrigerator = ₹ 5400

Profit % = 8

We have to find the cost price of the refrigerator.

Let the price of the refrigerator be ₹ x.

∴ Total cost of refrigerator = ₹ ( x + 280 )

Now, we know that,

$\displaystyle{\pink{\sf\:Profit\:\%\:=\:\dfrac{Profit}{Cost\:price}\:\times\:100}\sf\:\quad\:-\:-\:-\:[\:Formula\:]}$

$\displaystyle{\implies\sf\:8\:=\:\dfrac{Selling\:price\:-\:Cost\:price}{Cost\:price}\:\times\:100}$

$\displaystyle{\implies\sf\:8\:=\:\dfrac{5400\:-\:(\:x\:+\:280\:)}{(\:x\:+\:280\:)}\:\times\:100}$

$\displaystyle{\implies\sf\:8\:=\:\dfrac{5400\:-\:x\:-\:280}{(\:x\:+\:280\:)}\:\times\:100}$

$\displaystyle{\implies\sf\:8\:=\:\dfrac{(\:5120\:-\:x\:)\:\times\:100}{(\:x\:+\:280\:)}}$

$\displaystyle{\implies\sf\:8\:\times\:(\:x\:+\:280\:)\:=\:512000\:-\:100x}$

$\displaystyle{\implies\sf\:8x\:+\:2240\:=\:512000\:-\:100x}$

$\displaystyle{\implies\sf\:8x\:+\:100x\:=\:512000\:-\:2240}$

$\displaystyle{\implies\sf\:108\:x\:=\:509760}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{509760}{108}}}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{127440} {27}}}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{14160} {3}}}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:x\:=\:4720}}}}$

∴ The man had bought the refrigerator at ₹ 4720.

Answer 2

Given :-

Money on repairing = ₹280

Selling price = ₹5400

Profit = 8%

To Find :-

Cost price

Solution :-

Let the CP be x

And Total CP = x + 280

We know that

Profit% = Profit/CP $\times$ 100

$\sf 8 = \dfrac{5400 -(x + 280)}{(x+280)} \times100$

$\sf 8 = \dfrac{5400 - x - 280}{(x + 280)}\times 100$

$\sf 8 = \dfrac{5120 - x}{(x+280)}\times 100$

$\sf 8(x+ 280) =100( 5120- x)$

$\sf 8x+2240 = 512000 -100x$

$\sf 8x + 100x = 512000-2240$

$\sf 108x = 509760$

$\sf x = \dfrac{509760}{108}$

x = 4720