A. 50%
B. 70%
C. 100%
D. 120%
Check Answer
The correct answer is (C) 100%
Step by step Solution:
We solve the problem by assuming that the original cost price be CP and the selling price be SP. Now, we have the profit (p), we have,
p = SP – CP ⇒ (1)
It is given in the problem that on doubling the selling price, the profit triples, we have,
3p = 2SP – CP ⇒ (2)
Now, we need to find the profit percent given by
\frac{S p-C p}{C p} \times 100
We need to find SP in terms of CP to find the profit percent. We use equations (1) and (2) and solve them to find SP in terms of CP. Firstly, we subtract (1) from (2),
we get ⇒ 3p-p = SP
2p = SP ⇒ (A)
Putting this in (1), we get,
p = 2p – CP
p = CP ⇒ (B)
From (A) and (B), we get that SP = 2CP. Now, we put this in the formula of profit percentage given by
\frac{S p-C p}{C p} \times 100
We get,
\frac{2C p-C p}{C p} \times 100
Step by step Solution:
We solve the problem by assuming that the original cost price be CP and the selling price be SP. Now, we have the profit (p), we have,
p = SP – CP ⇒ (1)
It is given in the problem that on doubling the selling price, the profit triples, we have,
3p = 2SP – CP ⇒ (2)
Now, we need to find the profit percent given by
\frac{S p-C p}{C p} \times 100
We need to find SP in terms of CP to find the profit percent. We use equations (1) and (2) and solve them to find SP in terms of CP. Firstly, we subtract (1) from (2),
we get ⇒ 3p-p = SP
2p = SP ⇒ (A)
Putting this in (1), we get,
p = 2p – CP
p = CP ⇒ (B)
From (A) and (B), we get that SP = 2CP. Now, we put this in the formula of profit percentage given by
\frac{S p-C p}{C p} \times 100
We get,
\frac{2C p-C p}{C p} \times 100
