Question

2. Mrs. Arora left one-fourth of her property for her son, two-thirds for her daughter and the
remainder for her niece. If her niece's share is * 700000, what was the worth of her total
x = 700000.)
4
property? [Hint: Let the worth of her property be * x. Then, (1-1
1
WIN​

Answer 1

Answer:

186666

Step-by-step explanation:

let the total property worth be x

property worth share for son

=1/4 of x

1/4x

property worth share of daughter

=2/3of x

=2/3x

property worth share of niece=total-(son's property share +daughter's property share)

=x+(1/4x+2/3x)

lcm of 4 and 3=12

=x+(3x+8x/4) (here 4 is denominator for both 3x and 8x)

x+11x/4

lcm of 1 and 4=4

=4x+11x/4(here 4 is denominator for both 4x and 11x)

=15x/4

but niece's property share worth=700000

=15x/4=700000

15x=700000×4

15x=2800000

x=2800000/15

=186666(approx) (here 6 is repeating term so i didnt included decimal part

x was total property worth

x=186666

Answer 2

let the total property be x.

Son shares = 1/4 of x = 1/4x

Daughter shares = 2/3 of x = 2/3x

Niece shares = Rs. 700000 out of x

The Fraction of money shared by niece =

2/3x + 1/4x = 11/12x

x - 11/12x =  $\frac{12x- 11x}{12}$ = x/12

1/12x = 700000

x = 700000 * 12

SO, x = 84,00,000

Total property is Rs. 84,00,000.

Let us also find shares of son and daughter.

= Son shares = 1/4x = 1/4 of 84,00,000 = $\frac{1}{4} * 8400000$ = Rs. 2100000

= Daugh. shares = 2/3x = $\frac{2}{3} of 8400000$ = 2 * 2800000 = Rs. 5600000

Let us verify -

Son share + daughter share + niece share = Rs. 8400000

RS. 2100000 + 5600000 + 700000 = Rs. 8400000

Rs. 84,00,000 = Rs. 84,00,000

Left-hand side = Right-hand side

Hence, our answer is correct..........

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