Question

by selling a bed sheet for RS 258, a shopkeeper gains 20%. for how much should he sell the bedsheet so that the gain is 40%?​

Answer 1

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By selling a bed sheet for Rs 258, a shopkeeper gains 20%. For how much should he sell the bedsheet so that the gain is 40%?

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•Given:-

• Selling Price (S.P) = Rs 258
• Profit on this S.P = 20%

• To find:-

• The S.P on which the gain is 40%.

•Solution:-

We know that,

S.P = C.P + gain

C.P= S.P ×100/100+gain%

→ C.P = 258×100/100+20

= 258 × 0.084

= 214.9999

= 215

★Now we find that S.P when we earn 40% profit.

40% of C.P

= 215×40/100

= 86

S.P = C.P + gain

= 215 + 86

= 301

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S.P is ₹301.

Answer 2

Answer:

★ Rs 301 ★

Step-by-step explanation:

Given:

• Selling price of bedsheet is Rs 258
• Profit gained by selling bedsheet is 20%

To Find:

• He wants to sell bedsheet at 40% profit, Then what will be the selling price?

Solution: To find Cost Price when Selling Price and Profit% are given we use formula:-

• C.P ={ S.P x 100/100 + profit%}

$\small\implies{\sf }$ C.P = ( 258 x 100/100+20)

$\small\implies{\sf }$ C.P = 25800/120

$\small\implies{\sf }$ C.P = Rs 215

★ Now we have to find S.P when we earn 40% profit ★

• Again using this formula •

• C.P = { S.P x 100/100 + profit% )

$\small\implies{\sf }$ 215 = { S.P x 100/100 + 40% }

$\small\implies{\sf }$ 215 = { 100S.P/140 }

$\small\implies{\sf }$ 215 = S.P x 0.714

$\small\implies{\sf }$ 215/0.714 = S.P

$\small\implies{\sf }$ Rs 301 = S.P

Hence, He should sell bed sheet at Rs 301 to gain 40% .