Question

9. Divide * 1,290 into A, B and C such that A
2
is of B and B: C = 4: 3.
5


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Answer 1

Answer:

A got Rs.240

B got Rs.600

C got Rs.450.

Step-by-step explanation:

Let B = 4x and C = 3x,

then,

according to the Question,

A = (2/5) × B

A = (2/5) × 4x

A = 8x/5

Thus,

A got Rs.(8x/5), B got Rs.4x and C got 3x, when they divided Rs.1290.

That means, The sum of money got by A, B, and C has to be equal to Rs.1290

Hence,

A + B + C = 1290

(8x/5) + 4x + 3x = 1290

(8x/5) + 7x = 1290

(8x/5) + 7x × (5/5) = 1290

(8x/5) + (35x/5) = 1290

(35x + 8x)/5 = 1290

43x/5 = 1290

43x = 1290 × 5

43x = 6450

x = 6450/43

x = 150

Thus, putting in the values,

A got (8x/5) = (8 × 150)/5 = Rs.240

B got 4x = (4 × 150) = Rs.600

C got 3x = (3 × 150) = Rs.450

Hence,

A got Rs.240

B got Rs.600

C got Rs.450.

Hope it helped and believing you understood it. All the best.