Question

reset answer
Q8
The profit on a car becomes four times if its
selling price is tripled. Calculate the profit
percentage
Ops: A. 150%
B. 100%
C.
400%
D. 200%​

Answer 1

Answer:

Let the selling price be SP

Cost price be CP and profit be P

As P=SP-CP

For given condition, 3P= 2SP-CP

3 (SP-CP)=2SP-CP

SP=2CP

Profit% = (SP-CP)×100/CP

=100%

Answer 2

Given:

Profit becomes 4 times when the selling price is tripled.

To find:

profit percentage

Solution:

Profit becomes 4 times when the selling price is tripled.

$let \: the \: original \: profit = p$

$let \: the \: original \: selling \: price \: = sp$

When

$selling \: price \: = 3sp$

$profit = 4p$

$let \: cost \: price \: = cp$

$cp = sp - p$

$p = sp -cp$

according to the question

$cp = 3 sp - 4p$

$4p = 3sp -cp$

$4(sp - cp) = 3sp - cp$

$4sp - 4cp = 3sp - cp$

$4sp - 3sp = 4 cp- cp$

$sp = 3cp$

Now,

$profit\% = \frac{sp - cp}{sp} \times 100$

$profit\% = \: \frac{3cp - cp}{cp} \times 100$

$profit\% = \frac{2cp}{cp} \times 100$

$profit\% = 2 \times 100$

$profit\% = 200\%$

The profit percentage is 200%

Therefore, the answer is (D.) 200%