Question

if cost price of an article becomes 6.4 times of itself and selling price also increase by 450%.new profit is 76% find initial profit​

Answer 1

Answer:

C.P of an article is = ₹15500

Spend on repairing= ₹450

Actual C.P = 15500+450

= ₹ 15950

Profit = 15%

S.P = C.P×[_100+profit%] ÷

100

S.P= 15950 ×[100 +15]÷

100

S.P = 15950× 15

S.P= ₹23,950

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Answer 2

Initial profit percentage = 104.8%

Step-by-step explanation:

Let Rs. x and Rs. y is the original cost price and the original profit respectively.

Therefore, the selling price = cost price + profit = x + y.

Now, the current cost price becomes 6.4 times i.e. 6.4x.

And the current selling price is increased by 450% i.e. $(x + y)(1 + \frac{450}{100}) = 5.5(x + y)$.

Now, the current profit is 76% i.e. $\frac{5.5x + 5.5y - 6.4x}{6.4x} = \frac{76}{100} = 0.76$

⇒ 5.5y - 0.9x = 4.864x

⇒ 5.5y = 5.764x

⇒ $\frac{y}{x} = \frac{5.764}{5.5} = 1.048$

⇒ Initial profit percentage = $\frac{y}{x} \times 100 = 1.048 \times 100 = 104.8\%$. (Answer)