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A sum of money becomes $910 after 5 year at a simple interest rate of 6% p.a. find the sumplease send me fast gissss!!!! |
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Answer» Answer: The sum of money is Rs. 700. \mathfrak{\large{\UNDERLINE{\underline{\pink{Explanation :-}}}}} Explanation:−
Given : Sum of money amounts to = Rs .910 In = 5 years At the Rate = 6% To find : The sum of money Solution : We know that, \boxed{\SF{AMOUNT = Principal + Simple \: Interest}} Amount=Principal+SimpleInterest
Consider the Principal as x Simple Interest will be 910 - x $$\rule{300}{1.5}$$ ★ $$\boxed{\sf{SI = \frac{Principal \times Rate \times Time}{100}}}$$ $$\sf{\implies} \: 910 - x = \dfrac{x \times 6 \times 5}{100}$$ $$\sf{\implies} \: 910 - x = \dfrac{x \times30}{100}$$ $$\sf{\implies} \: 910 - x = \dfrac{30x}{100}$$ $$\sf{\implies} \:100(910 - x) = 30x$$ $$\sf{\implies} \:91000 - 100x = 30x$$ $$\sf{\implies} \:91000 = 30x + 100x$$ $$\sf{\implies} \:91000 = 130x$$ $$\sf{\implies} \:x = \dfrac{91000}{130}$$ $$\sf{\implies} \:x = 700$$ Principal = Rs. 700 $$\therefore$$ The sum of money is Rs. 700 |
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