Question

By selling an carticle for rupee 1600 a shopkeeper loses 20% how much should he sell it to gain 20%

Answer 1

$\sf\underline{Step-by-step \: explanation}$

First, it is necessary to find out the CP

Given,

SP = Rs. 1600

Loss = 20 %

Method,

Using direct formula,

CP =

$\frac{100}{100 \: - \:l \: \%} \: \times \: sp$

Solving,

$\frac{100}{80} \: \times \: 1600$

After Cancellation...

CP = Rs. 2000

To find out the price if it was sold at 20%

To find,

SP

Using direct Formula,

$sp \: = \: \frac{100 \: + \: p \: \%}{100} \: \times \: cp$

Solving,

$sp \: = \: \frac{120}{100} \: \times \: 2000$

After Cancellation...

Rs. 2400 (SP)

Hence, it should be sold at Rs. 2400 to gain 20 %.

Answer 2

Answer:

SP of article= 1600 rs

We can find CP of article by reciprocating multiplying factor of 20%.

Therefore, CP = 1600 * 5/4

CP= 2,000 rs

Now to gain 20%, he needs to sell it for:

2,000*6/5 = 2,400 rupees