Mother divided the money among Ron, Sam and Maria in the ratio 2:3:5. If Maria got ₹ 1500, find the total amount and the money received by Ron and Sam.
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Given :
Mother divided the money among Ron, Sam and Maria in the ratio 2:3:5. Maria got ₹ 1500.
To FinD :
The total amount and the money received by Ron and Sam.
Solution :
Analysis :
First we have to find each of one's share br equating the ratio. Then with the help of Maria's share we can get the total money and share of Ron and Sam.
Explanation :
Let the common Ratio be "x".
- Ron = 2x
- Sam = 3x
- Maria = 5x
We know that Maria's share is Rs.1,500.
☯ According to the question,
⇒ 5x = 1500
⇒ x = 1500/5
⇒ x = 300
∴ x = 300.
The shares :
- Ron = 2x = 2 × 300 = Rs.600
- Sam = 3x = 3 × 300 = Rs.900
- Maria = 5x = 5 × 300 = Rs.1,500
Total Money :
We are provided with Ron, Sam and Maria's share so we can add up those sums and get the total amount of money.
⇒ Total Money = Rs.(600 + 900 + 1500)
⇒ Total Money = Rs.3,000
∴ Total Money = Rs.3,000.
Ron's Share = Rs.600
Sam's Share = Rs.900
Total Amount = Rs.3,000.
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