Question

50) The selling price of a bat is 4.2 times its cost price. If its cost price is increased by 25%, what percent of the selling price is the profit?

Answer 1

let cp be 100
sp=420
if cp is 125
profit is 420-125
=295
p=236%

Answer 2

Answer:

Step-by-step explanation:

Concept:

• Cost Price (C.P.) - Price at which at the bat is purchased.
• Selling Price (S.P.) - Price at which at the bat is sold.
• Profit/Gain - The seller is said to be in profit, if selling price (S.P.) is greater than cost price (C.P.)
• Loss - Seller is said to have suffered a loss if S.P. is lower than (C.P.).

$Profit = (S.P.) - (C.P.)$

$Profit$ $Percentage$  $= \frac{profit}{C.P} * 100$

Given:

The selling price of a bat is 4.2 times its cost price.

The cost price is increased by 25%.

To Find:

Percent of the selling price is the profit =?

Solution:

let the C.P be 100.

Selling Price of the bat (S.P) is 4.2 times of its (C.P) $= 4.2 * 100 =420$

$Profit = (S.P.) - (C.P.)$

$Profit = 420 - 100$

$Profit = 320$

with the increase in cost by $25$%,

Let the revised C.P be

$C.P_{1} = 100 + 25 = 125$

and revised profit be

$P_{1} = 420 - 125 = 295$

$P_{1}$ % $= \frac{P_{1} }{C.P_{1} } * 100$

$P_{1}$% $= \frac{295}{125} * 100$

$P_{1}$% $= 2.36 * 100$

$P_{1}$% $= 236$%

Therefore, $236$ percent of the selling price is the profit.

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