Management Aptitude Test Dec 2013 Paper

(b) Let the rate per cent of bill be r% per annum.
Let the amount of bill be ₹ A.
Then, according to the question
A =

1200(100+ 7 12 r)

100

= 12 (100+

7

12

r)    .... (i)
A =

1016

100

(100+

5

2

r)100 = 10.16 (100+

5

2

r)   .... (ii)
From Eqs. (i) and (ii), we get
12 (100+

7

12

r) = 10.16 (100+

5

2

r)
⇒ 1200 + 7r = 1016 + 25.4r
⇒ 18.4r = 184
∴ r = 10%
Hence, rate per cent of the bill is 10% per annum.