Question

Kesha sells two items for Rs. 4800 each. in one deal she earns a profit of 25% and in the other she suffers a loss of 20%. find the profit or loss percentage in the whole deal.

10 points

Your answer


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Answer 1

Step-by-step explanation:

sp of first item is rs 4800

profit is 25 %

cp = sp * 100 / 100 + gain %

cp = 4800 * 100 / 100 + 25

cp = rs 3840

sp of second item is rs 4800

loss is rs 20 %

cp = sp * 100 / 100 - loss %

cp = 4800 * 100 / 100 - 20 %

cp = rs 6000

total cp is rs 3840 + 6000 = rs 9840

total sp is rs 4800 + 4800 = rs 9600

hence cp is greater than sp so it is a loss

loss = rs 9840 - 9600 = rs 240

loss % = loss / cp * 100 %

=240/ 9840 * 100 %

= 2.43 %

hope its helpful

Answer 2

Answer ::

The loss percentage in the whole deal is 2.43%

Step-by-step explanation ::

To Find :-

• Find the profit or loss percentage in the whole deal

Solution :-

Given that,

• Kesha sells two items for Rs. 4800 each.
• In one deal she earns a profit of 25%
• The other deal she suffers a loss of 20%.

ACCORDING THE QUESTION,

For one item :

• S.P. = Rs. 4800
• Gain% = 25%

∴ Cost Price is, As we know that,

$\sf{C.P. = \dfrac{100}{(100 + gain\%)} \: \times S.P.}$

$\leadsto \: \sf{C.P. = \dfrac{100}{(100 + 25\%)} \: \times 4800} \\ \\ \\ \leadsto \: \sf{\dfrac{100}{125} \: \times 4800} \\ \\ \\ \leadsto \: \sf{\cancel{ \dfrac{100}{125}} \: \times 4800} \\ \\ \\ \leadsto \: \sf{0.8 \times 4800} \\ \\ \\ \leadsto \: \sf{C.P. = Rs. \: 3840}$

For the other item :

• S.P. = Rs. 4800
• Loss% = 20

∴ Cost Price is, As we know that,

$\sf{C.P. = \dfrac{100}{(100 - loss\%)} \: \times S.P.}$

$\leadsto \: \sf{C.P. = \dfrac{100}{(100 - 20\%)} \: \times 4800} \\ \\ \\ \leadsto \: \sf{\dfrac{100}{80} \: \times 4800} \\ \\ \\ \leadsto \: \sf{\cancel{ \dfrac{100}{80}} \: \times 4800} \\ \\ \\ \leadsto \: \sf{1.25 \times 4800} \\ \\ \\ \leadsto \: \sf{C.P. = Rs. \: 6000}$

∴ Total C.P. of the two items = ( C.P. of first item + C.P. of second item )

$\sf{ \leadsto \: Rs. \: (3480 + 6000)} \\ \\ \sf{ \leadsto \: Rs. \: 9840}$

∴ Total S.P. of the two items ( S.P. of first item + S.P. of second item )

$\sf{ \leadsto \: Rs. \: (4800 + 4800)} \\ \\ \sf{ \leadsto \: Rs. \: 9600}$

∴ Loss = C.P. - S.P.

= Rs. ( 9840 - 9600 )

= Rs. 240

∴ The loss percentage is,

$\bf{Loss\%} = \sf{ \bigg\lgroup\dfrac{Loss}{C.P.} \times 100 \bigg\rgroup}\%$

$\sf{ \leadsto \: \sf{\dfrac{240}{9840} \times 100}} \\ \\ \\ \sf{ \leadsto \: \sf{\dfrac{240 \times 100}{9840}}} \\ \\ \\ \sf{ \leadsto \: \sf{\dfrac{24000}{9840}}} \\ \\ \\ \sf{ \leadsto \: \sf{ \cancel{\dfrac{24000}{9840}}}} \\ \\ \\ \sf{ \leadsto \: \sf{2.43\%}}$

Therefore, the loss is 2.43%.