A basket contains apples and oranges in the ratio 4:3. After removing 8 apples and adding 6 oranges, the new ratio becomes 1:1. How many fruits were there originally?
98
Let the number of apples be \(4x\) and oranges be \(3x\), based on the given ratio of 4:3.
After removing 8 apples and adding 6 oranges, the new ratio becomes 1:1, so \(\frac{4x-8}{3x+6} = 1\).
This gives \(4x - 8 = 3x + 6\), so \(x = 14\).
The original total number of fruits is \(4x + 3x = 7x = 7 \times 14 = 98\).
Hence, the answer is 98.
Similar Questions
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- 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?
- Three friends share a winning prize in the ratio 2:3:4. If the total prize is Rs. 9000, how much more does the person with the highest share get than the lowest?
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Important Questions from Ratio and Proportion
The cost of a diamond is directly proportional to the square of its weight. The cost of a 14 gm diamond is Rs. 2560. This diamond got broken down into two pieces in the ratio of 5 ∶ 9. How much loss percent is incurred due to this breakage ? (Correct to two decimal places)
Atul purchased Bread costing Rs.20 and gave a 100 rupee note to the shopkeeper. The shopkeeper gave the balance money in coins of denomination Rs.2, Rs.5 and Rs.10. If these coins are in the ratio 5 ∶ 4 ∶ 1, then how many Rs.5 coins did the shopkeeper give?
A person divides a certain amount among his three sons in the ratio of 3 ∶ 4 ∶ 5. If he had divided this amount in the ratio of 1/3,1/4,1/5, his son, who had got the lowest share earlier, would get Rs.1,188 more. Find the amount (in Rs).
In a school 3/8 of the number of students are girls and the rest are boys. One-third of the number of boys are below 10 years and 2/3 the number if girls are also below 10 years. If the number of students of age 10 or more years is 260. then the number of boys in the school is:
If a : b : c = \(\frac{1}{4} : \frac{1}{3} : \frac{1}{2}, \) then \( \ \frac{a}{b} : \frac{b}{c} : \frac{c}{a} = ?\)
