Question

By selling an article for 285 a man loses
5%. For how much should he sell to gain
5%?
​

Answer 1

Answer:

Rs 315

Step-by-step explanation:

given : SP1 = Rs 285, loss 5%

to find: SP2 to gain 5%

SP1 = CP - [loss % × CP] / 100

285 = CP - 5 CP/100

285 = 95 CP/100

285 = 95 CP/100

therefore CP = (285*100)/95

CP = Rs 300

now SP2 = CP + (gain % × CP)/100

SP2 = 300 + (5*300)/100

SP2 = 300 + 15

SP2 = Rs 315

he has to sell tbe article at Rs 315 to gain 5% profit

Answer 2

Required Answer:-

Given:

• SP of the article = ₹285.
• Loss % = 5%

To Find:

• The new selling price so that he can gain 5%.

Solution:

Let cost of the article be x.

As there is a loss of 5%, so CP > SP,

→ Loss % = Loss/CP

→ 5% = Loss/x

Also,

→ CP = SP + Loss

→ Loss = CP - SP

→ Loss = x - 285

So,

→ 5% = (x - 285)/x

→ 5x/100 = x - 285

→ x/20 = x - 285

→ x - x/20 = 285

→ 19x/20 = 285

→ x = 285 × 20/19

→ x = 15 × 20

→ x = ₹300

So, the cost price of the article is - ₹300

To gain 5%, gain amount will be,

= 5% of ₹300

= 5/100 × ₹300

= ₹15

So, Selling Price will be,

= CP + Gain

= ₹300 + ₹15

= ₹315

★ So, to gain 5%, he must sell the article at ₹315.

Answer:

• To gain 5%, he must sell the article at ₹315.

•••♪