Question

A man loses 10% by selling 50 lemons for Rs. 60. How much should he sell for Rs. 20 to get 20% profit in the transaction?​

Answer 1

Answer:

The man should sell 12 and a half lemon for Rs. 20.

Step-by-step explanation:

S.P. of 1 lemon = 60/50 = 6/5 = Rs. 1.20

C.P. = S.P. x 100/(100 - Loss%)

C.P = Rs. 1.20 x 100/90

= Rs. 4/3

Required S.P. of 1 lemon = C.P. x (100 + Profit%)/100

= Rs. 4/3 x 120/100

= Rs. 1.60

Total S.P. = Rs. 20

No. of lemons = Rs. 20/ Rs. 1.6

= 12.5

Answer 2

Given:

Lose after selling $50$ lemons for Rs: $60$ = $10$%

To find:

The number of lemons should he sell for Rs: $20$ to gain $20$%

Formula:

$CP\;=\;(\frac{100}{100\;-\;Loss\%})\;\times\;SP$

Step-by-step explanation:

The selling price of $50$ lemons = Rs: $60$

⇒ The Selling price of $1$ lemon = Rs: $\frac{60}{50}$

The CP of $1$ lemon = $\frac{60}{50}\;\times\;\frac{100}{90}$ = Rs: $\frac43$

The SP of $1$ lemon, to gain $20$% profit

⇒ $\frac43\;\times\;\frac{120}{100}\;=\;\frac85$

So, the man sells $1$ lemon for Rs: $\frac85$

The number of lemons to be sold for Rs: $20$ = $1\;\times\;\frac58\;\times\;20$ = $12.5$ lemons

Answer:

Therefore, the number of lemons to be sold for Rs: $20$ to gain $20$% is $12.5$ lemons