A baker ordered 10 kg of premium flour and some additional kg of standard flour. The price of premium flour per kg was twice that of the standard flour. Due to an ordering error, the quantities of the two types of flour were interchanged. This decreased the total cost by 25%. Find the ratio of the quantity of premium flour to standard flour in the original order.
5 : 2
Step 1 – Set variables. Let standard price = \(p\) per kg, premium = \(2p\) per kg, standard quantity = \(x\) kg.
Step 2 – Original and swapped costs:
Original: \(10(2p) + xp = 20p + xp\). Swapped: \(x(2p) + 10p = 2xp + 10p\).
Step 3 – 25% decrease condition:
\((20p + xp) - (2xp + 10p) = 0.25(20p + xp)\)
\(10p - xp = 5p + 0.25xp \implies 5p = 1.25xp \implies x = 4\) kg.
Step 4 – Ratio: Premium : Standard = \(10 : 4 = 5 : 2\).
Hence, the correct answer is 5 : 2.
Similar Questions
If \((x+y):(x-y)=5:2\), find \((x^3+y^3):(x^3-y^3)\)
What should be subtracted from 7, 9, 8, 11 so that the remaining numbers may be proportional?
- A ribbon is cut into three pieces in the ratio 2:3:5. If the length of the longest piece is 20 cm, what is the total length of the ribbon?
- Three numbers are such that the second is 150% of the first, and the third is 80% of the second. What is the ratio of the first to the third?
The present ages (in years) of A and B are in the ratio of 3:4. Five years back, the ratio of their ages was 2:3. What is the present age (in years) of A?
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:
If 20% of (P + Q) = 50% of (P – Q), then find the ratio P : Q.
A:B = 3:4, B:C = 6:7, C:D = 14:15. What is the ratio A:D?
If \(60\% \text{ of } A = 0.3 \text{ of } B = \tfrac{1}{6} \text{ of } C\), find \(A : B : C\).
- Three numbers are in the ratio 2:3:5. If their average is 100, what is the difference between the largest and the smallest number?
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:
