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Rs. 78,400 was divided among three persons A, B, C in ratio A:B = 5:4 and B:C = 5:11. Then, the share of C is (in rupees) :

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Answer 1

Question:-

Rs. 78,400 was divided among three persons A, B, C in ratio A:B = 5:4 and B:C = 5:11. Then, the share of C is (in rupees) :

Given:-

• Total sum of money = ₹78,400.

• A:B = 5:4.

• B:C = 6:11.

To Find:-

• Share of C in rupees.

Solution:-

Concept used:

• Taking L.C.M. of common terms of ratio.

Taking L.C.M. of 4 and 6 as they are common in both the ratio.

∴ L.C.M. of 4 and 6 is 12.

Now, make value of B = 12 in both ratio.

• Then, A:B = 15:12.

• And, B:C = 12:22.

∴ A:B:C = 15:12:22.

• Now, let the share of A be 15x.

• The share of B = 12x.

• The share of C = 22x.

∴ 15x + 12x + 22x = 78,400.

=> 49x = 78,400.

∴ x = 1,600.

∴ The share of C = 22 × 1,600

∴ The share of C is Rs.35,200.

Answer:-

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Hope you have satisfied. ⚘

Answer 2

Step-by-step explanation:

Given :-

Rs. 78,400 was divided among three persons A, B, C in ratio A:B = 5:4 and

B:C = 5:11.

To find :-

Find the share of C is (in rupees) ?

Solution :-

Given that

Total amount to be shared = Rs. 78400

The ratio of the shares of A and B = 5:4

=> A:B = 5:4

=> 5/4

On multiplying both numerator and denominator with 5

=> (5/4)×(5/5)

=> (5×5)/(4×5)

=> 25/20

=> 25:20

=Therefore, A:B = 25:20 ---------(1)

The ratio of the shares of B and C = 5:11

=> B:C = 5:11

=> 5/11

On multiplying both numerator and denominator with 4

=> (5/11)×(4/4)

=> (5×4)/(11×4)

=> 20/44

=> 20:44

Therefore, B:C = 20:44 ---------(2)

Now We have

A:B = 25:20

B :C = 20:44

________________

A:B:C = 25:20:44

________________

Let the share of A = Rs. 25x

Let the share of B = Rs. 20x

Let the share of C = Rs. 44x

Sum of their shares = 25x+20x+44x

=> Rs. 89x

According to the given problem

Sum of the total shares = Rs. 78400

=> 89x = 78400

=> x = 78400/89

=> x = 880.90 (approximately)

The share of C = Rs. 44x

=> C = 44×880.90

=> C = 38759.60

Answer:-

The share of C = Rs. 38759.60

Check:-

The share of A = 25x

=> 25×880.90 = Rs.22022.50

The share of B = 20x

=> 20×880.90 = Rs. 17618

The share of C = Rs. 38759.60

Total amount

= Share of A + Share of B + Share of C

=> 22022.50+17618+38759.60

=> Rs. 78400.10

=> Rs. 78400

Verified the given relations in the given problem.

Used formula :-

a:b can be written as a/b