If A : B = 7 : 5, B : C = 2 : 3, and C : D = 4 : 5, find the ratio A : D.
56 : 75
Step 1 – Use the chain rule for ratios:
\(\dfrac{A}{D} = \dfrac{A}{B} \times \dfrac{B}{C} \times \dfrac{C}{D}\)
Step 2 – Substitute values:
\(\dfrac{A}{D} = \dfrac{7}{5} \times \dfrac{2}{3} \times \dfrac{4}{5} = \dfrac{56}{75}\)
Hence \(A : D = 56 : 75\). The correct answer is option 3).
Similar Questions
The monthly incomes of A, B and C are in the ratio 2:9:3 and their expenses are in the ratio 3:9:5. If A’s saving is half of his total income, then savings of A, B and C are, respectively, in the ratio of:
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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:
