Find the compound interest at 4% p.a. for 3 years on the principal which gives the simple interest of 2400
at the same rate and for the same time.
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Step-by-step explanation:
ˢⁱᵐᵖˡᵉ ⁱⁿᵗᵉʳᵉˢᵗ ᶠᵒʳᵐᵘˡᵃ :
ⁱⁿᵗᵉʳᵉˢᵗ = ᵖʳⁱⁿᶜⁱᵖˡᵉ × ʳᵃᵗᵉ × ᵗⁱᵐᵉ
ⁱⁿᵗᵉʳᵉˢᵗ = ᵖ × ⓪.⓪④ × ③
②④⓪⓪ = ⓪.①②ᵖ
ᵖ = ②④⓪⓪/⓪.①②
ᵖ = ②⓪⓪⓪⓪
ᵗʰᵉ ᶜᵒᵐᵖᵒᵘⁿᵈ ⁱⁿᵗᵉʳᵉˢᵗ ᵃᶜᶜᵘᵐᵘˡᵃᵗⁱᵒⁿ ᶠᵒʳᵐᵘˡᵃ :
ᵖ(① + ⁱ)ⁿ = ᵃᶜᶜᵘᵐᵘˡᵃᵗⁱᵒⁿ
②⓪⓪⓪⓪ × (①.⓪④)³ = ②⓪⓪⓪⓪ × ①.①②④⑧⑥④ = ②②④⑨⑦.②⑧
ᵃᵐᵒᵘⁿᵗ = ②②④⑨⑦.②⑧
ʳˢ ②②④⑨⑦.②⑧
REFER to the attachment
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