Question

If Ayush sold his CD player for ₹4,250,then ge loss 15%. Find the selling price of the CD player so Ayush can gain 20%

Answer 1

Given,

Selling price of the CD player is ₹4250

Loss percentage of the deal is 15%

To find,

The selling price of the CD player which can bring 20% profit.

Solution,

Let,the cost price of the CD player = ₹x

[Assume, x as a variable to do the further mathematical calculations.]

15% of the CD player's price = x × 15/100 = ₹3x/20

15% loss deal price = x - 3x/20 = 20x-3x/20 = ₹17x/20

Now,if we compare the value of the price of the 15% loss deal that we have calculated and the price of the 15% loss deal which is given in the question, we will get the following mathematical equation,

17x/20 = 4250

x = 4250 × 20/17

x = 5000

Actual cost price of the CD player is ₹5000

20% of the actual cost price = 5000×20/100 = ₹1000

20% profit deal price = 5000+1000 = ₹6000

Hence,for the selling price ₹6000 can gain profit of 20%.

Answer 2

Answer:

Let us assume the Cost Price be (a)

So, we have 15% loss

= a ×$\frac{15}{100}$

= $\frac{3a}{20}$

Therefore, loss = a - $\frac{3a}{20}$

                          = $\frac{17a}{20}$

Now, after losing $\frac{17a}{20}$ he sells at ₹4250

To find the value of a, we can form an equation.

$\frac{17a}{20}$ = ₹4250

⇒ a = $\frac{4250 X 20 }{17}$

⇒ a = $\frac{85,000}{17}$

⇒ a = ₹ 5000

The Cost price is ₹ 5000

Gain = 20 %

So, gain 20% will be from the Cost Price

= $\frac{20}{100}$ × 5000

= 1000

Therefore, to gain 20% , Ayush must sell it ₹ 1000 more than the Cost Price.

= Cost price + 1000

= 5000 + 1000

= ₹ 6000

Therefore, to gain 20% he must cell the CD Player at ₹ 6000

Hope it helps.

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