Question

Find the value of the following (using suitable property)

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Answer 1

Answer:

Suppose males are M and females are F

Then M+F=8000———(1)

After increase 6% for male and 10% for female

(M+M×6/100)+(F+F×10/100)=8600

Or 106M/100 +110F/100 =8600

Or 1.06 M +1.10 F = 8600 —————(2)

Multiplying Equation (1) by 1.06

1.06 M+ 1.06 F =1.06×8000

Or 1.06M +1.06 F =8480 ————(3)

Deduct eq (3) from eq (2)

0.04 F =120

Or F =120/0.04

Or F =3000

So females were 3000 and rest males 5000.

Testing for correctness

Increase 10% in Females =3000×10/100=300

And increase 6% in males =5000×6/100 =300

Total increase =300+300=600

So present population =8000+600=8600

Answer 2

Answer:

Find the product using suitable properties: (a) 738 x 103 (b) 854 x102 (c) 258 x 1008 (d) 1005 x168

Answer:

1. (a) 738 × 103.

= 76014.

1. b) 854 × 102.

= 87108.

(c) 258 × 1008.

= 260064.

(d) 1005 × 168.