Ratio Division: Calculating Total Amount
- Represent Shares: The money is divided in the ratio 5 : 2 : 8. We can represent the shares of A, B, and C as $5x$, $2x$, and $8x$ respectively, where $x$ is a constant multiplier.
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Calculate Difference in Ratio Parts: The difference between the shares of A and C corresponds to the difference in their ratio parts.
Difference in parts = C's ratio part - A's ratio part = $8 - 5 = 3$ parts. -
Equate Difference to Value: This difference of 3 parts is equal to ₹7,740.
So, $3x = ₹7,740$. -
Find Value of One Part: Solve for $x$.
$x = \frac{₹7,740}{3} = ₹2,580$. -
Calculate Total Amount: The total amount is the sum of all the ratio parts multiplied by $x$.
Total ratio parts = $5 + 2 + 8 = 15$ parts.
Total Amount = $15 \times x = 15 \times ₹2,580$. -
Final Calculation:
Total Amount = $15 \times ₹2,580 = ₹38,700$.
Similar Questions
- If A : B = 3 : 5 and B : C = 4 : 7, then the value of A : B : C is:
- If $a : b :: 3 : 4$ then the value of the expression $\frac{5a - 3b}{7a + 2b}$ is:
- If the third proportional of 8 and 20 be x, then what is the value of x?
- If $0.75 : x :: 25 : 8$, then what is the value of $x$?
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- If $\frac{A}{4} = \frac{B}{5} = \frac{C}{6}$, then $A : B : C$ is:
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Important Questions from Ratio and Proportion
In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?
If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:
The third proportional to 9 and 15 is:
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
