Question

(c) 23%
The ratio of Jim's salary for October to his salary
for November was 1.5 : 1.333 and the ratio of the
salary for November to that for December was
2: 2.6666. The worker got 40 rupees more for De-
cember than for October and received a bonus consti-
tuting 40 per cent of the salary for three months. Find
the bonus. (Assume that the number of workdays is
the same in every month.)
(a) 368.888 rupees (b) 152.5555 rupees
(c) 222.22 rupees (d) 265.6 rupees
ntogo rise in the​

Answer 1

Answer:

Let the salary for October, November and December be O, N and D resp

O/N = 1.5/1.33 = 3*3/2*4 = 9/8

So, let O = 9x and N = 8x

N/D = 2/2.667 = 2*3/8 = 6/8

So, let N = 6y and D = 8y

But 8x = 6y

So, x = 0.75y

So, O = 9*0.75y = 6.75y, N = 6y and D = 8y

But given that 8y = 6.75y + 40

So, 1.25y = 40

So, x = 32

So, O=216, N=192, D=256

So, Bonus = 0.4*(216+192+256)

= 0.4*664

= 265.6