Question

a person in cross 15% loss by selling a watch for rupees 1530 at what price should the watch be sold to earn 15% profit ​

Answer 1

Question:

A person in cross 15% loss by selling a watch for rupees 1530, at what price should the watch be sold to earn 15% profit ​?

Answer:

To gain a profit of 15% the man should sell the watch for Rs. 2070.

Given:

S.P. of the watch is Rs. 1530.

Loss is 15%

To find:

The S.P. of the watch to gain a profit of 15%.

Explanation:

Case-1:

Let, the C.P. of the watch be , 'n'.

∴ 15% of n = 15n/100.

∴ S.P. = $(n-\frac{15n}{100} )$

         = $(\frac{100n-15n}{100})$ [∵ The L.C.M. of the denominators is 100.]

         = $\frac{85n}{100}$

         = $\frac{17n}{20}$ [∵ Dividing 85 and 100 by 5.]

 

∴ According to the problem:

$\frac{17n}{20}$ = 1530

⇒ 17n = (1530×20)

⇒ n = (30600÷17)

⇒ n = Rs. 1800.

∴ The C.P. of the watch is Rs. 1800.

Case-2:

C.P. is Rs. 1800.

Profit is 15%.

∴ Profit = (1800×15/100)

           = (18×15)

            = Rs. 270.

∴ S.P. = Rs. (1800+270)

         = Rs. 2070.

∴ To gain a profit of 15% the man should have to sell the watch for Rs. 2070.