Question

A man sale 9 item in one rupee he got loss of 4% .How much he sale item to get 44% gain in one rupee? ​

Answer 1

He should sell the items for Rs 2.12 to gain a profit of 44%.

Explanation:

Let, the cost price (C.P.) of the 9 items be, 'n'.

Loss = 4%

∴ Loss = (n × 4/100)

            = n/25

∴ S.P. = (C.P. - Loss) [∵ S.P. = Selling price.]

         = (n  - n/25)

        = (25n - n)/25 [∵ The L.C.M. of the denominators is 25.]

        = 24n/25

According to the given problem,

24n/25 = 1

⇒ 24 n = 1×25

⇒ n = 25/24

⇒ n = Rs 1.04

∴ The C.P. is Rs 1.40

Profit = 44%

∴ Profit =Rs (1.40 × 44/100)

            = Rs 0.62

∴ S.P. = Rs. (1.40+0.62)

          = Rs 2.12    

∴ He should sell the items for Rs 2.12 to gain a profit of 44%.

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