Question

A man sells a bag at 6% profit. If he had sold it at 10% profit, he would have got ₹200 more. Find the selling price of the bag.

• A. ₹5500
• B. ₹5300
• C. ₹5000
• D. ₹6000

Answer 1

The correct option is B

₹5300

Let the cost price of the bag be ₹ $x$.

If the bag is sold at 6% profit then,
Selling price (S.P) = $x$ + $\frac{6}{100}\times$ $x$ = $\frac{106x}{100}$

Now, If the bag was sold at 10% profit then,
S.P = $x$ + $\frac{10}{100}\times$$x$ = $\frac{110x}{100}$

As per question,

$\frac{110x}{100}$ - $\frac{106x}{100}$ = ₹ 200

$\Rightarrow$ $\frac{4x}{100}$ = ₹ 200

$\Rightarrow$ $4x$ = ₹ 200 $\times$ 100 = ₹ 20,000

$\Rightarrow$ $x$ = ₹ 5000 ...(cost price (C.P) of the bag)

Now, we can calculate the S.P of the bag at 6% profit,
S.P. = ₹ 5000 $\times$ $\frac{106}{100}$ = ₹5300