Correct Answer - Option 3 : Rs. 1,312
Given:
The marked price of a shirt is Rs. 1,824
Discount percentage = 18%
Profit percentage is 14%
Formula:
S.P. = M.P. - M.P. × D%
S.P. = C.P. + C.P. × P%
Where, S.P. = Selling Price
M.P. = Mark Price
C.P. = Cost Price
D% = Discount percent
P% = Profit percent
Calculation:
S.P. = (1824 - 1824 × 18/100)
⇒ 1824 - 328.32
⇒ Rs. 1495.68
Now 1495.68 = C.P. + C.P. × 14/100
⇒ 1495.68 = C.P.(1 + 14/100)
⇒ 1495.68 = C.P. × 114/100
⇒ C.P. = 1495.68 × 100/114
⇒ C.P. = Rs. 1312
∴ The cost price of the shirt is Rs. 1312.