Question

2. From the following infomation you are required to prepare a Balance Sheet
Current ratio
1.75
Liquid ratio
1.25
Stock tumover ratio
9
[Cost of sales / CL. Stock]
Gross profit ratio
25%
Debt collection period
1 92 months
Reserves & surplus to capital
0.2
Tumover on Fixed Assets
1.2
[Based on Cost of sales]
Capital gearing ratio
0.6
Fixed assets to Net worth
1.25
Sales for the year
1,20,000​

Answer 1

Answer:

This implies that

x2+2ax=4x−4a−13

or

x2+2ax−4x+4a+13=0

or

x2+(2a−4)x+(4a+13)=0

Since the equation has just one solution instead of the usual two distinct solutions, then the two solutions must be same i.e. discriminant = 0.

Hence we get that

(2a−4)2=4⋅1⋅(4a+13)

or

4a2−16a+16=16a+52

or

4a2−32a−36=0

or

a2−8a−9=0

or

(a−9)(a+1)=0

So the values of a are −1 and 9.