A sum of 2800 is invested, partly at 5% and partly at 4%. If the total income is 128 per annum, find the amount invested at 5%.


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Question Number 203825 by necx122 last updated on 29/Jan/24

$A s u m o f 2800 i s i n v e s t e d, p a r t l y a t 5 %$ $a n d p a r t l y a t 4 % . I f t h e t o t a l i n c o m e$ $i s 128 p e r a n n u m, f i n d t h e a m o u n t$ $i n v e s t e d a t 5 % .$
	Answered by esmaeil last updated on 29/Jan/24

	$A + B = 2800$ $0.05 A + . 04 B = 128 \to$ $0.05 \times A + 0.04 (2800 - A) = 128 \to$ $0.01 A = 16 \to A = 1600 \to$ $B = 1200$ $\to 0.05 \times 1600 = 80$
	Commented by necx122 last updated on 29/Jan/24
	This is great. Thank you.
	Commented by esmaeil last updated on 29/Jan/24

	${y o u}^{'} r e w e l c o m e .$
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