Question

Q.51. A car is sold for Rs 2,400 at a profit of 20% over
SP. What is the Cost price ?
(a) Rs 2,000
(b) Rs 1,920
TY) Rs 1,980
(d) Rs 1,800
0.52. A car is sold for Rs 2,400 at a profit of 20% over
Selling price. What is the actual profit
percentage?
(a) 16.66%
(b) 25%
(c) 21.21%
(d) 14.28%​

Answer 1

Answer:

Step-by-step explanation:

As the,

SP is 2,400

Profit%=20%

Therefore,2,400*20/100

Profit=₹480

CP=SP-P

Therefore,CP=2,400-480

CP=1,980

Answer 2

First question : (a) Rs 2,000

Second question : (b) 25%

Step-by-step explanation:

First question :

Given,

Selling price = 2, 400,

Profit% = 20%,

$\because Profit\% =\frac{SP-CP}{CP}\times 100$

$Profit\%\times CP = 100SP - 100CP$

$Profit\%\times CP + 100CP=100SP$

$(Profit\%+ 100)CP= 100SP$

$\implies CP =\frac{100SP}{(Profit\%+ 100)}$

Thus, cost price = $\frac{100\times 2400}{(20+100)}=\frac{240000}{120}=2000$

Hence, option (a) is correct.

Second question :

If car is sold over  Selling price,

$Profit\% =\frac{SP-CP}{SP}\times 100$

$20= \frac{2400 - CP}{2400}\times 100$

$48000 = 240000 - 100CP$

$100CP = 240000 - 48000$

$100CP = 192000$

$CP =1920$

Hence, actual profit  percentage = $\frac{2400-1920}{1920}\times 100$

$=\frac{480}{1920}\times 100$

= 25%

That is, Option (b) is correct.

#Learn more:

How to find profit and profit%

https://brainly.in/question/942502