if a,b,c divide rupees 1200 in the ratio 2:3:5 then b share is ?
Answers
Answer:
b = ₹360
Step-by-step explanation:
a = 2x
b = 3x
c = 5x
2x + 3x + 5x = ₹1200
10x = 1200
x = 1200/10
x = 120
a = 2x = 2 × 120 = ₹240
b = 3x = 3 × 120 = ₹360
c = 5x = 5 × 120 = ₹600
Check ⇒
240 + 360 + 600 = 1200
1200 = 1200
L.H.S = R.H.S
Hence, verified.
The answer is correct.
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Answer :
Given :
Ratio = 2:3:5
Total Amount = Rs. 1200
Required to find :
- Amount received by " b "
Solution :
Given ratio = 2:3:5
Let the ;
- Amount received by a be 2x
- Amount received by b be 3x
- Amount received by c be 5x
This is because in the question it is given that the amount of money had been divided among the three in the ratio of 2:3:5
The total amount they have is Rs. 1200
So, According to problem
Here we have to equal the sum of the ratio's with the total amount .
That is
Sum of the ratio's = Total amount
Hence ,
Sum of the ratio's = 2x + 3x + 5x
= 10x
Now,
equalise this value with the total amount.
That is ;
10x = 1200
By solving further we get
==> x = 1200/10
==> x = 120
Therefore,
The value of x is 120 .
Hence ;
Amount received by b is 3 × 120
= Rs. 360
similarly,
Amount received by a is 2 × 120
= Rs. 240
Amount received by c is 5 × 120
= Rs. 600
Verification :
Amount received by a + b + c = Total amount
360 + 240 + 600 = 1200
1200 = 1200
Therefore,
Hence verified..