Practice Questions
Concept Explanation
To divide amount M in ratio a : b : c, total parts = a + b + c.
Share of first part = M × a/(a+b+c).
Difference between shares = (difference in parts)/(total parts) × M.
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Q1 Easy
Divide Rs. 900 in ratio 2 : 3. Larger share is:
ExplanationLarger share = 900 × 3/5 = Rs. 540. -
Q2 Medium
Rs. 1,200 divided in ratio 3 : 4 : 5. Smallest share is:
ExplanationSmallest = 1200 × 3/12 = Rs. 300. -
Q3 Easy
Divide Rs. 560 between A and B in ratio 5 : 3. A gets:
ExplanationA gets 560 × 5/8 = Rs. 350. -
Q4 Medium
Rs. 2,400 split in ratio 1 : 2 : 3. Middle share is:
ExplanationMiddle = 2400 × 2/6 = Rs. 800. -
Q5 Medium
Difference between shares when Rs. 770 is divided in ratio 4 : 7 is:
ExplanationDifference = 770 × 3/11 = Rs. 210. -
Q6 Easy
Three partners share Rs. 1,800 in ratio 2 : 3 : 4. Largest share:
ExplanationLargest = 1800 × 4/9 = Rs. 800. -
Q7 Easy
Rs. 675 divided in ratio 5 : 4. Second share is:
ExplanationSecond = 675 × 4/9 = Rs. 300.
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Q8 Medium
A sum of Rs. 990 is divided so first : second = 7 : 4. First share:
ExplanationFirst = 990 × 7/11 = Rs. 630. -
Q9 Medium
Rs. 1,440 in ratio 5 : 7 : 12. Share corresponding to 7 parts:
ExplanationShare = 1440 × 7/24 = Rs. 420. -
Q10 Easy
If Rs. 500 is divided in ratio 2 : 3, the smaller part is:
ExplanationSmaller = 500 × 2/5 = Rs. 200. -
Q11 Hard
Rs. 900 divided in ratio 2 : 3 : 4. Difference between largest and smallest share:
ExplanationDifference = 900 × (4−2)/9 = Rs. 200. -
Q12 Medium
A inherits Rs. 2,200 in ratio 6 : 5. Elder sibling gets:
ExplanationElder = 2200 × 6/11 = Rs. 1,200. -
Q13 Medium
Rs. 1,020 split in ratio 5 : 12. Smaller share is:
ExplanationSmaller = 1020 × 5/17 = Rs. 300. -
Q14 Hard
Rs. 3,150 divided in ratio 2 : 5 : 8. Difference between largest and smallest share:
ExplanationDifference = 3150 × (8−2)/15 = Rs. 1,260.
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DS1 Easy
What is the larger share?
Statement IRs. 800 is divided in ratio 3 : 5.
Statement IIThe difference between shares is Rs. 200.
ExplanationEach alone: larger = Rs. 500. -
DS2 Medium
What is the total amount divided?
Statement ITwo shares are in ratio 4 : 7.
Statement IIThe larger share is Rs. 420.
Explanation420 = 7k/11 × total → need total. 420 corresponds to 7 parts if total unknown. Actually larger = 7/11 × M = 420 → M = 660.
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DS3 Medium
What is the first share?
Statement ITotal is Rs. 1,500.
Statement IIRatio is 2 : 3 : 5.
ExplanationFirst = 1500 × 2/10 = Rs. 300. -
DS4 Hard
What is the difference between shares?
Statement IAmount Rs. 660 in ratio 5 : 6.
Statement IISmaller share is Rs. 300.
ExplanationEach gives difference Rs. 60.