Question

9. एक सौदागर एक रुपए में 40 सुइयाँ बेचकर 25% की हानि
उठाता है. यदि उसको 20% लाभ करना हो तो एक रुपए में
कितनी सुइयाँ बेचनी चाहिए ?
(A) 23
(B) 20
(C) 25
(D) 27​

Answer 1

Given:

A trader bears a loss of 25% by selling 40 needles for a rupee

To find:

How many needles should he sell for a rupee in order to earn a profit of 20%?

Solution:

The S.P. of 40 needles = Rs. 1

Loss% = 25%

∴ C.P. of 40 needles = $\frac{100}{100 - L\%} \times S.P. = \frac{100 }{100 - 25} \times 1 = \frac{100}{75} = Rs. \:\frac{4}{3}$

So,

C.P. of 1 needle = $\frac{4}{3} \times \frac{1}{40} = Rs.\:\frac{1}{30}$

Now, if the dealer wants to have a profit of 20% then,

The S.P. of 1 needle should be,

= $\frac{100 + P\%} {100}\times C.P. = \frac{100 + 20}{100}\times \frac{1}{30} = \frac{120}{100}\times \frac{1}{30} = \frac{4}{100} = Rs. \:0.04$

If the no. of needles sold for Rs. 0.04 is 1

Then, the no. of needles sold for Re. 1 will be = $\frac{1}{0.04} = \frac{100}{4} = 25$

Thus, in order to make a profit of 20%, the dealer should sell → option (C) → 25 needles.

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Answer 2

Answer:

Step-by-step explanation: