a table is sold at the profit of 13% had it been sold for ₹25 more the profit would have been 18% find its CP
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Let the CP be ₹ x.
So, SP at 13% profit
= ₹ {x + (13% of x)}
= ₹ {x + (13/100 × x)}
= ₹ (x × 13x/100)
= ₹ 113x/100
And SP at 18% profit
= ₹ {x + (18% of x)}
= ₹ {x + (18/100 × x)}
= ₹ (x × 18x/100)
= ₹ 118x/100
According to condition,
118x/100 - 113x/100 = 25
or, (118 - 113)x/100 = 25
or, 5x/100 = 25
or, 5x = 25×100
or, 5x = 2500
or, x = 2500/5
or, x = 500
CP = ₹ x = ₹ 500.
Hence, the CP of the table is ₹ 500.
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