by selling a 100 mangoes,a fruit seller gains the s.p of a mangoes.find the gain%
Answers
Answer:
Now let us consider our question. Let us take the selling price (S.P) of each mango = Rs. x.
So, we get the selling price (S.P) of 20 mangoes = Rs. 20x.
Also, we get the selling price (S.P) of 100 mangoes = Rs. 100x.
We are given that by selling 100 mangoes, fruit seller gains S.P of 20 mangoes, so we get,
Gain on selling 100 mangoes = S.P of 20 mangoes.
By substituting the value of S.P of 20 mangoes = 20x, we get, Gain on selling 100 mangoes = Rs. 20x.
Now, we know that Gain = S.P – C.P. So, we get (S.P of 100 mangoes) – (C.P of 100 mangoes) = 20x.
By substituting the value of S.P of 100 mangoes = 100x, we get, 100x – (C.P of 100 mangoes) = 20x.
So, we get 100x – (C.P of 100 mangoes) = 20x.
So, we get, (C.P of 100 mangoes) = 100 – 20x = Rs. 80x.
So, for 100 mangoes, we get,
C.P = 80x
S.P = 100x
Gain = 20x
Now, we know that,
Gain % =GainC.P×100
.
By substituting the value of Gain and C.P, we get,
Gain % =20x80x×100
=14×100
= 25 %
So, we get the gain % on selling 100 mangoes as 25 %.
Step-by-step explanation: