Question

Divide 380 rupees among anita,sunita and kavita such that shares of anitha and sunita are in the ratio 1:2 and that of sunitha and kavitha are in the ratio 3:5

Answer 1

Answer:

Share of Anita (A) = Rs. 60

Share of Sunita (S) = Rs. 120

Share of Kavita (K) = Rs. 200

Step-by-step explanation:

Let the share of Anita = A

Share of Sunita = S

and Share of Kavita = K

∴ A + S + K = 380  ....(1)

From 1st condition

A:S = 1:2

∴ A = (1/2)S .... (2)

From 2nd condition

S:K = 3:5

∴ 5S = 3K

∴ K = (5/3) S ....(3)

Putting the values of A and K from eq 2 and 3 in eqn (1), we get

A + S + K = 380

∴ (1/2)S + S + (5/3)S = 380

∴ (3S + 6S + 10S)/6 = 380

∴ 19S = 380 × 6

∴ S = (380 × 6) ÷ 19

∴ S = 120 ... (4)

Putting in eqn 2,

A = (1/2) × 120

∴ A = 60 ... (5)

Putting value of S in eqn3,

K = (5/3) × 120

∴K = 200  ...(6)

∴ Share of Anita (A) = Rs. 60

Share of Sunita (S) = Rs. 120

Share of Kavita (K) = Rs. 200

Answer 2

Answer:

Anita's Share = 60

Sunita's Share = 120

Kavita's Share = 200

Step-by-step explanation:

Anita : Sunita : Kavita

Let Anita, Sunita and Kavita be A, S and K respectively.

Therefore, A:S = 1:2

or A/S = 1/2

And, S:K = 3:5

or S/K = 3/5

A:S:K = A/S : S/S :K/S

or A:S:K/S

Therefore, 1/2:1:5/3

LCM of 2 and 3 is 6

so,

A = 1/2×6=3

S = 1/1×6=6

K = 5/3×6=10

Hence 3:6:10 is the Ratio

Now 3+6+10 = 19

Divide 380( Total Money to be divided ) by 19

380/19 = 20

Total Money of Anita=20×3=60

Total Money of Sunita=20×6=120

Total Money of Kavita=20×10=200

Therefore, Anita, Sunita and Kavita will get Rs.60, Rs.120 and Rs.200 respectively.

Hope it helps you...