Previous Year Questions

For Surbhi:

Dearness allowance = ₹Y

Basic salary = 100/25 * Y = ₹4Y

Total salary = 12500

Y + 4Y = 12500

Y = 2500

Dearness allowance = ₹2500

Basic salary = ₹10000

For Deepa:

Dearness allowance = ₹2100

Basic salary = 100/25 * 2100 = ₹8400

Total salary = 2100 + 8400 = ₹10500

Let the items A and B sold by Deepa is 'p' and 'q' respectively.

p * 12% of 8400 + q * 15% of 8400 = 6300

4p + 5q = 25

p = (25 - 5q)/4 = 5(5 - q)/4

Here 5 - q must be divisible by 4.

So, q = 1 => p = 5*(5 - 1)/4 = 5

So, items A and B sold by Deepa is 5 and 1 respectively.

For Maya:

Basic salary = 130% of Surbhi's basic salary = 130% of 10000 = ₹13000

Dearness allowance = 25% of 13000 = ₹3250

Total salary = 13000 + 3250 = ₹16250

Let the items A and B sold by Maya is 'r' and 's' respectively.

r * 12% of 13000 + s * 15% of 13000 = 12480

4r + 5s = 32

s = (32 - 4r)/5 = 4(8 - r)/5

Here 8 - r must be divisible by 5.

So, r = 3 => s = 4*(8 - 3)/5 = 4

So, items A and B sold by Maya is 3 and 4 respectively.

In tabular form -

Dearness allowance of Surbhi and Maya together = 2500 + 3250 = ₹5750

Dearness allowance of Rakhi = 5750 + 250 = ₹6000

Total salary = X = 5 * 6000 = ₹30000

Y = 2500

X/2 - 2Y = 30000/2 - 2*2500

= 15000 - 5000

= ₹10000