Question

A man sold a table for rupees 900 losing 5% at what price should he sell the table to gain 5%.​

Answer 1

To get profit of 5% a man should sell the table at ₹995

Step-by-step explanation:

GIVEN

A man sold a table for rupees 900 losing 5%

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To Find

what price should he sell the table to gain 5%

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We know that,

Cost price = ( Selling price × 100 ) / ( 100 - loss percent )

Cost price = ( 900 × 100 ) / ( 100 - 5 )

Cost price = 90,000 / 95

Cost price = 947.368421053

Cost price = ₹947.368421053

The cost price of a table is ₹947.368421053

Loss = cost price - selling price

Loss = 947.368421053 - 900

Loss = 47.368421053

Loss = ₹47.368421053

A man get loss of ₹47.368421053

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Now

Let's find that what price should he sell the table to gain 5%

We know that,

Selling price = ( 100 + profit% ) × cost price / 100

Selling price = ( 100 + 5% ) × ( ₹947.368421053 / 100 )

Selling price = 105 × 9.47368421053

Selling price = 994.736842106

Selling price = ₹995

To get profit of 5% a man should sell the table at ₹995