Question

A total amount of ₹ 1560 is to be divided among A , B and C such that A gets 50 % of what B gets and B gets 20 % of what C gets .How much will B get ?.....

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Answer 1

⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐

First of all, let C's share be Rs. X

Share of B = Rs. (X × 20/100) = Rs. X/5

Share of A = Rs. (X/5 × 50/100) = Rs. X/10

According to the given problem, we get :

X + X/5 + X/10 = 1560
=> 13X/10 = 1560
=> X = 15600/13 = 1200

So, C's share = Rs. 1200

B's share = Rs. (1200/5) =
Rs. 240 (Option 2)

Hence, option 2 is correct.



⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐

Answer 2

Let C's share be ₹ ' x '.

On reading the question we can say that,
B's share = 20 % of C's share
B's share = 20x / 100 = x / 5

Moreover,

A's share = 50 % of B's share
A's share = 50 % of ( x / 5 )
A's share = 50 / 100 * x / 5
A's share = x / 10

Also it is mentioned in the question that,

Total amount = ₹ 1560
A's share + B's share + C's share = ₹ 1560
( x / 10 ) + ( x / 5 ) + x = ₹ 1560
( x + 2x + 10x ) / 10 = ₹ 1560
13x = 15600
x = 1200

Hence,

B ' s share = x / 5 = 1200 / 5 = ₹ 240

Therefore,

Option ( 2 ) is correct.