Mr. Rathnayake donated 18 of a certain amount of money to a charity and invested 47 of the remainingamount for a business.(i) What fraction of the amount remains after he has donated to the charity.(ii) What fraction of the total amount of money has been allocated for the business?(iii)The amount of money remains, after donating to a charity and investing to a business isRs. 60 000. Find the total amount of money Mr. Rathnayake had at the begining
Question
Mr. Rathnayake donated 18 of a certain amount of money to a charity and invested 47 of the remainingamount for a business.(i) What fraction of the amount remains after he has donated to the charity.(ii) What fraction of the total amount of money has been allocated for the business?(iii)The amount of money remains, after donating to a charity and investing to a business isRs. 60 000. Find the total amount of money Mr. Rathnayake had at the begining
Solution
(i) If Mr. Rathnayake donated 1/8 of his money to charity, then he has 7/8 of his money left.
(ii) He then invested 4/7 of the remaining amount in a business. To find out what fraction of the total amount this is, we multiply the fractions: (4/7) * (7/8) = 4/8 = 1/2. So, he invested 1/2 of his total money in the business.
(iii) The remaining money, after donating to charity and investing in a business, is Rs. 60,000. This represents the remaining 1/2 of his total money (since 1/8 went to charity and 1/2 went to the business, leaving 1/2). Therefore, to find the total amount of money Mr. Rathnayake had at the beginning, we can simply double the remaining amount: Rs. 60,000 * 2 = Rs. 120,000.
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