Question

By selling a chair for 432 rupees A shopkeeper loses 4% for how much should sell it to gain 12%

Answer 1

The shopkeeper should sell the chair for Rs 504 to gain 12%.

Explanation:

Case-1:

Let, the C.P. be, 'x'

S.P. = Rs 432

Loss = 4%

∴ Loss = (x*4/100)

            = x/25

∴ S.P. = ( x - x/25)

         = (25x - x)/25 [∵ The L.C.M. is 25.]

         = 24x/25

According to the problem:

24x/25 = 432

⇒ 24x = (432*25)

⇒ x = (432*25)/24

⇒ x = 10800/24

⇒ x = Rs 450.

∴ The C.P. of the chair is Rs 450.

Case-2:

C.P. = Rs 450

Gain = 12%

∴ Gain = Rs (450*12/100)

           = Rs (9*12/2)

           = Rs (9*6)

           = Rs 54.

∴ The S.P. = Rs (450+54)

                 = Rs 504.

∴ To gain 12% the shopkeeper should sell the chair for Rs 504.

#answerwithquality

#BAL

Answer 2

ANSWER

472

Step-by-step explanation:

Solutions

given,

SP=432and loss 4%

CP=?

let the c.p = x

Then, A.T.Q

x - x × 4 /100 = 432

x- x /25 = 432

24x = 432 ×25

x= 10800 / 24

x = 450

c.p = 450 .

now s.p. if sell it for gain 6%

gain = 450 × 6/100

gain = Rs 27

so , we know that

s.p = c.p + gain

s.p = Rs 450 + Rs 27

s.p. = 472

Hence ,the price of chair is Rs472 then he gain 6%