Sundari gave 1/8 of her property to each of 5 social organisations, 1/15 to each of 3 religious trusts, 1/24 to each of her two sons. The remaining property valued Rs. 1,15,000/- was donated for construction of a school building in the name of her husband. Find the total value of her property.
Answers
Step-by-step explanation:
1/8 *3
= 1/8*3/1= 3/8
Sundari gave 3/8 of her property to each 3 religions.
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Total value of property is Rs. 12,54,545,55.
Given:
Sundari gave 1/8 of her property to each of 5 social organisations, 1/15 to each of 3 religious trusts, 1/24 to each of her two sons. The remaining property valued Rs. 1,15,000/- was donated for construction of a school building in the name of her husband.
To find:
Find the total value of property
Solution:
Let the total value be x,
Property given to 5 organisations = 1/8 * x each = x/8 * 5 = 5x/8
Property given to each religious trust = 1/15 * x = x/15
Total property given to religious trust = 3 * x/15 = 3x/15 = x/5
Property given to each son = 1/24 *x= x/24
Total property given to sons = 2 * x/24 = 2x/24 = x/12
Total property given = Property given to organisations + property given to religious trust + property given to sons
= 5x/8 + x/5 + x/12
Taking LCM of 8,5 and 12 and multiplying it to all numbers
LCM = 120
= 5x*15/ 120 + x*24/120 + x*10/120
= (75x + 24x + 10x)/120
= 109x/120
Remaining property = Total property - Property given
115000 = x - 109x/120
115000 = (120x-109x)/120
115000 = 11x/120
11x = 115000 * 120
11x = 13800000
x = 13800000/11
x = 12,54,545.55
Hence, total value of property is Rs. 12,54,545,55.
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