A table was sold for 2,142 at a gain of 5% at what price should it be sold to gain 10 %
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Selling price = ₹ 2142
Gain = 5 %
Let the cost price be Rs. x
⇒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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