Bihar Police Constable Model Paper 2

Given:
When S.P is Rs. 36, then loss% is twice the profit% if S.P is Rs. 72.
Formulae used:
Gain% = [(S.P – C.P)/C.P] × 100
Loss% = = [(C.P – S.P)/C.P] × 100
Calculation:
Let C.P be Rs. x
And, if S.P = Rs. 72
Then, Gain% = [(72 – x)/x] × 100
And, if S.P = Rs. 36
Loss% = [(x – 36)/x] × 100
Now, Loss% is twice of Gain%
⇒ [(72 – x)/x] × 100 × 2 = = [(x – 36)/x] × 100
⇒ (72 – x) × 200 = (x – 36) × 100
⇒ 14400 – 200x = 100x – 3600
⇒ 300x = 180,00
⇒ x = 60
So, C.P = Rs. 60
And, S.P = Rs. 36
Loss = Rs. (60 – 36) = Rs. 24
Loss% = (24/60) × 100%
⇒ 40%
∴ The percentage loss when it is sold at Rs. 36 is 40%.