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According to a will, the wealth of Rs. 11,50,000 was to be divided between the son and the daughter in the ratio 2/3 : 5/4, respectively. How much share did the son get (in Rs. lakh)?
- a)5
- b)6
- c)7
- d)4
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
According to a will, the wealth of Rs. 11,50,000 was to be divided be...
Given information:
- The total wealth is Rs. 11,50,000.
- The ratio of the son's share to the daughter's share is 2/3 : 5/4.
To find: The son's share in Rs. lakh.
Let's solve the problem step by step:
Step 1: Find the common denominator for the given ratio.
The denominators are 3 and 4. The common denominator is the least common multiple (LCM) of 3 and 4, which is 12.
Step 2: Convert the given ratio to the common denominator.
The ratio 2/3 can be written as 8/12 (multiply the numerator and denominator by 4).
The ratio 5/4 can be written as 15/12 (multiply the numerator and denominator by 3).
Step 3: Calculate the shares based on the converted ratio.
The total ratio is 8/12 + 15/12 = 23/12.
To find the son's share, we need to calculate (2/3) * (11,50,000 / 23) = (2/3) * 50,000 = 33,333.33.
Step 4: Convert the son's share from rupees to lakh.
33,333.33 / 1,00,000 = 0.33333 lakh.
Therefore, the son's share is 0.33333 lakh, which can be rounded off to 0.33 lakh or approximately 0.3 lakh.
Hence, the correct answer is option 'D' - 4 lakh.
- The total wealth is Rs. 11,50,000.
- The ratio of the son's share to the daughter's share is 2/3 : 5/4.
To find: The son's share in Rs. lakh.
Let's solve the problem step by step:
Step 1: Find the common denominator for the given ratio.
The denominators are 3 and 4. The common denominator is the least common multiple (LCM) of 3 and 4, which is 12.
Step 2: Convert the given ratio to the common denominator.
The ratio 2/3 can be written as 8/12 (multiply the numerator and denominator by 4).
The ratio 5/4 can be written as 15/12 (multiply the numerator and denominator by 3).
Step 3: Calculate the shares based on the converted ratio.
The total ratio is 8/12 + 15/12 = 23/12.
To find the son's share, we need to calculate (2/3) * (11,50,000 / 23) = (2/3) * 50,000 = 33,333.33.
Step 4: Convert the son's share from rupees to lakh.
33,333.33 / 1,00,000 = 0.33333 lakh.
Therefore, the son's share is 0.33333 lakh, which can be rounded off to 0.33 lakh or approximately 0.3 lakh.
Hence, the correct answer is option 'D' - 4 lakh.
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Community Answer
According to a will, the wealth of Rs. 11,50,000 was to be divided be...
Total amount = Rs. 11,50,000
= 11,50,000
Son's share = 2x/3
Daughter's share = 5x/4
According to the question:
= 11,50,000x = Rs. 6,00,000
Son's share = 
= Rs. 4,00,000 = Rs. 4 lakh
= Rs. 4,00,000 = Rs. 4 lakhAttention SSC CGL Students!
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