Question

If a shopkeeper sells a wrist watch for rs 720 and makes a profit of 20 percent ,find its cost price​

Answer 1

Answer:

ANSWER

It is given that,

S.P of watch = 720 Rs

Loss = 10%

Therefore,

C.P =

100−losspercentage

100

×S.P.

=

(100−10)

100

×720

=

90

100

×720

=800

C.P of watch is Rs. 800.

It is given in the problem that, Profit expected = 15%

C.P =

100+profit percentage

100

×S.P.

=

100+15

100

×S.P.

⟹800=

115

100

×S.P.

⟹S.P.=

100

800×115

=

100

92000

=920

Thus, the selling price will be 920 to get a profit of 15%

Answer 2

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GIVEN:-

Selling price of the wrist watch = Rs 720

Profit made by him = 20%

TO FIND:-

Cost price of the wrist watch = ?

SOLUTION:-

Formula to find cost price when Selling price and profit are given is↴

$( \frac{sp \times 100}{100 + profit} )$

SOLVING BY APPLYING THE FORMULA:-

$cp \: = ( \frac{720 \times 100}{100 + 20} )$

$cp \: = \frac{720 \times 100}{100 + 20} = \frac{72000}{120}$

$cp \: = \frac{72000}{120} = \frac{ \not{72000}}{ \not{120}}$

$cp \: = \frac{ \not{72000}}{ \not{120}} = 600$

$cp \: = 600$

So, the cost price of the wrist watch is Rs 600.

Some Related Formula's

• Profit = SP - CP
• Loss = CP - SP
• SP When Profit Percent is given = (100 + Profit % / 100)× CP
• CP When Profit Percent is given = (SP × 100 / 100 + Profit)

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