Three brothers − A, B and C divided a property among themselves and their mother in the ratio 3 : 3 : 3 : 4. If their mother got Rs.5,000 more than each son, how much did all the three brothers together get?Rs.15,000Rs.65,000Rs.30,000Rs.45,000
Question
Three brothers − A, B and C divided a property among themselves and their mother in the ratio 3 : 3 : 3 : 4. If their mother got Rs.5,000 more than each son, how much did all the three brothers together get?Rs.15,000Rs.65,000Rs.30,000Rs.45,000
Solution
The problem states that the property was divided in the ratio 3:3:3:4 among three brothers and their mother. This means that for every 13 parts of the property, each brother received 3 parts and the mother received 4 parts.
The mother received Rs. 5,000 more than each son. This means that the difference between 4 parts (mother's share) and 3 parts (each son's share) is Rs. 5,000.
So, 1 part of the property is equal to Rs. 5,000.
The total amount received by all three brothers is 3 parts (for brother A) + 3 parts (for brother B) + 3 parts (for brother C) = 9 parts.
So, the total amount received by all three brothers is 9 parts * Rs. 5,000 per part = Rs. 45,000.
Therefore, the three brothers together got Rs. 45,000.
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