Question

a table was sold for ₹ 2142 at a gain of 5%. At what price should it be sold to gain 10%.

Answer 1

Find the cost price of the table:

100 + 5 = 105%

105% = Rs 2142

1% = 2142 ÷ 105 = 20.4

100% = 20.4 x 100 = Rs 2040

Find the price to be sold for a gain of 10%:

10% Gain = 10% x 2040 = 0.1 x 2040 = Rs 204

2040 + 204 = Rs 2244

Answer:The table should be sold for Rs 2244

Answer 2

$\bold{\huge{Solution:}}$

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Selling price = ₹ 2142

Gain = 5 %

Let the cost price be Rs. x

$\bold{\boxed{A.T.Q}}$

⇒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, to gain 10% the shopkeeper should sell the table in Rs. 2244 .
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$\bold{\boxed{Thank\:You \: :)}}$