SSC CGL 2024 PYQ — Question 70

The correct answer is option 4 i.e.  $3\frac{86}{163}$ % gain.

Given that, SP at 25%  profit = ₹1260

SP at 10% loss = ₹1440

Total SP = 1260 + 1440 = 2700

CP = SP $\times { 100 \over (100 +P)}$

CP = SP $\times { 100 \over (100 - L)}$

According to the given question,

CP at 25% profit =  1260 $\times { 100 \over (100 + 25)}$

⇒ 1260 $\times { 100 \over 125}$ = 1008

CP at 10% loss = 1440 $\times { 100 \over 90}$ 

⇒ 1600

Total CP = 1600 + 1008 

⇒ 2608

Now, SP > CP, Profit = SP - CP

⇒ 2700 - 2608 = 92

Profit percentage = ${92 \over 2608} \times 100$ = $3\frac{86}{163}$%

Hence the required answer is $3\frac{86}{163}$%.