Question

A man bought certain number of litches

at 20 per Rs 100 and an equal no. of 30 per
Rs 100. He mixed them and sold them at
25
per Rs 100. Find his
gain or loss
percent?
​

Answer 1

Answer: The loss is 4%

Explanation:

Lets call litches that are 20 pcs per Rs 100 - litches A

that are 30 pcs per Rs 100- litches B

So a man can buy 2 pcs A per Rs 10

and 3 pcs B per Rs 10

OR

6x pcs A per Rs 30x

and 6x pcs B per Rs 20x

Now he gonna sell the 12x litches for y Rs

Lets find y from the proportion

12x cost y

25 cost 100

y/12=100/25

y=48 Rs

So the man bought 6x A + 6x B for 20x+30x=50 Rs

And then he sold them for 48 Rs

Obviously the man gonna loose the money.

Lets find the losses in %

(50-48)/50*100=200/50=4%

The loss is 4%