Profit And Loss Ques 8
Question.
Cost price of article B is $20 \%$ more than that of article A. Article B was marked $20 \%$ above its cost price. The difference (in Rs.) between the cost price and the marked price of article $B$ is equal to that of article A. Both the articles were sold at a discount of $10 \%$. If the selling price of article B is Rs. 45 more than that of article $A$, what is the cost price of article A ?
(1) Rs. 250
(2) Rs. 300
(3) Rs. 280
(4) Rs. 225
(5) Rs. 240
(IBPS SO (Agriculture) Exam, 29.01.2017)
Show Answer
Correct Answer: (1)
Solution: (1)
Let the C.P. of article A be Rs. 100.
$\therefore$ C.P. of article B $=$ Rs. 120
Marked price of article B $=$ Rs. $\left(\frac{120 \times 120}{100}\right)=$ Rs. 144
Difference between marked price and C.P. for article B $=$ Rs. $(144-120)=$ Rs. 24
$\therefore$ Marked price of article A $=$ Rs. 124
S.P. of article $A=\frac{124 \times 90}{100}$ $=$ Rs. 111.6
S.P. of article B $=\frac{144 \times 90}{100}=$ Rs. 129.6
Difference $=$ Rs. $(129.6-111.6)$ $=$ Rs. 18
If the difference of S.P. is Rs. 18,
C.P. of article $A=$ Rs. 100
If the difference of S.P. is Rs. 45 ,
C.P. of article $A=\frac{100}{18} \times 45$ $=$ Rs. 250
BETA
