A vendor order 2000 pieces of a particular Chinese component at Rs.25 per piece. According to his es

M4maths Previous Puzzles

08 Apr 2020 Profit and Loss

A vendor order 2000 pieces of a particular Chinese component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests,then he will make a profit of 25%. However,as it turned out,50% of the components were rejected. What is the loss to the vendor?

OPtion

1) 11000
2) 11500
3) 11750
4) 12000
5) 12500
6) 12750
7) 13000
8) 13500
9) 13750
10) None of these

Solution

Total number of component = 2000.

If 5% competent found to be defective, then,

No. of non-defective component = 2000 - 5% of 2000 = 1900.

So,
Selling price of 1900 component = 1900 * 25 = 47, 500.

This content 25% profit of the vendor.

Let total price of the component = X.

SP = 47500

X + 25% of X = 47500

(100X +25X) /100 = 47500.

125X = 4750000

X = Rs. 38,000.

If 50 component ie 1000 components are deffective. then

Total collection = 25 *1000 = 25000.
Loss = 38000 - 25000 = Rs. 13,000.

Correct Option: 7 Best Solution (2)

G.S.Kantharao   4 years AGO

S.P of 2000 @ 25 each=Rs50000
C.P of 1900 =47500*100/125
=38000
S.P of 1000=25000
So loss =13000
My option is 7👈

Like? Yes | No   

mohanch   4 years AGO

given, 25% profit on 5% defects. hence, he needs 1900/1.25 = 1520 pieces for no lose. as he got 50% defects, lose = ((1520 - 1000) * 25) = 13000

Like? Yes | No