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1. There are six columns of coins and there are eight
coins in each column. One of the columns is entirely of
fake coins and other five columns contain real coins.
Weight of one fake coin is 1 gm more than the real coin
which is 50 gm. How you can tell which column contains fake
coin by single weight?


2.You want to purchase a two wheeler. You got three options
from the counter.

1) Pay Rs. 40,400 on single payment

2) Pay Rs. 20,000 now and remaining by two equal annual
installment of Rs. 11,600

3) Pay Rs. 15,000 now and remaining by three equal annual
installment of Rs. 10,000

Which option is most attractive? (Take annual interest rate
9%)

Answer Posted / prajakta

Answer 1.
case 1: RS. 40,400
case 2: RS. 43,200
case 3: Rs. 45,000
Now annual interest is 9%,
He gets 2628 interest in bank for 2nd option if he
deposits the rest amount i.e.,
(40400-20000) and (40400-(20000+11600)) in bank. But
40400+2628=43028<43200 i.e., even if he adds the interest
got in bank to the original(40400); amount he has to pay is
more than that. Therefore 2nd would be a wrong choice. In
3rd option he gets interest in bank as Rs4158 n
40400+4158=44558<45000.
Therefore 1st option is the best.

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