Question

70pen soldrs90 and loss 25 %how many pencil do we need to sell for Rs 234 gain 30 % profit

Answer 1

To sell the pens for Rs 234 and make a 30 % profit. then we need to sell 105 pens approximately.

Step-by-step explanation:

Required formulas:

• $CP = \frac{100}{100+- (G or L)} * S.P.$

• $S.P. = \frac{100 +- (G or L)}{100} * C.P.$

Step 1:

The S.P of 70 pens = Rs. 90

Loss % = 25%

∴ C.P. of 70 pens = $\frac{100}{100 - 25} * 90 = \frac{100}{75} * 90 = Rs. 120$

Now, C.P. of 1 pen = $\frac{120}{70} = Rs. 1.71$

Step 2:

Here we want to have a profit of 30%

∴ S.P. of 1 pen = $\frac{100 + 30}{100} * 1.71 = \frac{130}{100} * 1.71 = Rs. 2.22$

So, we can say that

When the S.P. is Rs. 2.22, we can sell 1 pen at 30% profit

∴ When S.P. is Rs. 234, we can sell = $\frac{1}{2.22} * 234 =$ 105.40 ≈ 105 pens at 30% profit.

Thus, we need to sell 105 pens for Rs. 234 to make a profit of 30%.

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