Profit And Loss Ques 6

Question.

The ratio of cost price of a blazer to a tie is $11: 4$. A shopkeeper sells both the items together as a set. While his overall profit is $25 \%$, the profit on blazer is $20 \%$. If the profit on tie is ₹ 310 , what is the cost price of the blazer?

(1) ₹ 2000

(2) ₹ 2100

(3) ₹ 2200

(4) ₹ 2400

(5) None of these

(IBPS Bank PO/MT CWE (Main) 18.11.2016)

Show Answer

Correct Answer: (3)

Solution: (3)

Let the C.P. of blazer and the tie be $11 x$ and $4 x$ respectively.

Then $25 \%$ profit on total $15 x-$ $20 \%$ profit on Blazer $(11 x)=$ Total profit on tie

$\frac{25}{100} \times 15 x-\frac{20}{100} \times 11 x=310$

$\Rightarrow \frac{15}{4} x-\frac{11}{5} x=310$

$\Rightarrow 75 x-44 x=6200$

$\Rightarrow 31 x=6200$

$11 x=11 \times 200=2200$

$\therefore$ C.P. of blazer $= \text{₹} 2200$