Question

a table was sold for rupees 2142 a gain of 5% at what price should it be sold to gain 10%​

Answer 1

Answer:

Step-by-step explanation:

Selling price = Rs. 2142

Gain = 5 %

Let the cost price be Rs. x

Then according to the question.

⇒ x + (x*5)/100 = 2142

⇒ x + x/20 = 2142

⇒ (20x + x)/20 = 2142

⇒ 21x/20 = 2142

⇒ 21x = 2142*20

⇒ x = 42840/21

⇒ x = 2040

So, the cost price of the table is Rs. 2040

Now, 

Gain needed = 10 %

So, the selling price = Cost price + gain

⇒ 2040 + (2040*10)/100

⇒ 2040 + 204

⇒ 2244

So, the shopkeeper should sell the table in Rs. 2244 to get a gain of 10 %

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Answer 2

Now Selling price = Rs2142

Gain=5%

let the cost price be x

Now,

=> x+5x/100 = Rs2142

=> x+x/20 =Rs 2142

=> (20x+x)/20 = Rs 2142

=> 21x/20 =Rs 2142

=> 21x =Rs 2142×20

=> 21x =Rs 42840

=> x= Rs 2040

so the cost price of table is Rs 2040

Gain needed=10%

so S.P = CP + Gain

=> SP = 2040 + (2040×10)/100

=> SP = 2040 + 204

=> SP = 2244

so,the shopkeeper sold the table at Rs 2244