What price should Alka mark. on a dress which cost her Rs. $4000$ so as to gain $20 %$ after allowing a discount of $20 %$ ?

Rs.

5000

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Rs.

6000

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Rs.

7000

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Rs.

8000

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Solution

The correct option is B Rs. $6000$
C.P. $=$ Rs. $4000$ , Gain $=$ $20 %$
$∴$ S.P. of the dress $=$ Rs. $\frac{4000 \times (100 + 20)}{100} = \frac{4000 \times 120}{100} =$ Rs. $4800$
Discount $=$ $20 %$
$∴$ M.P. of the dress $=$ $\frac{S.P. \times 100}{(100 - discount)} = \frac{4800 \times 100}{(100 - 20)} = \frac{4800 \times 100}{80} =$ Rs. $6000$

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What price should Alka mark. on a dress which cost her Rs. 4000 so as to gain 20% after allowing a discount of 20%?

The correct option is B Rs. 6000C.P. = Rs. 4000, Gain = 20%∴ S.P. of the dress = Rs. 4000×(100+20)100=4000×120100= Rs. 4800Discount = 20%∴ M.P. of the dress = S.P.×100(100−discount)=4800×100(100−20)=4800×10080= Rs. 6000

What price should Alka mark. on a dress which cost her Rs. $4000$ so as to gain $20 %$ after allowing a discount of $20 %$ ?