Jocelyn54251idn
Answered

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5) Zachary loaned a certain amount in the bank for 3 years at 4% simple interest annually and paid P600 interest after the term. How much did he loan? A. P6 000 B. P5 000 C. 24 000 D. P3 200​

Sagot :

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[tex]\large{ \tt{ \underline{Problem:}}}[/tex]

  • Zachary loaned a certain amount in the bank for 3 years at 4% simple interest annually and paid P600 interest after the term. How much did he loan?

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[tex]\large{\tt{\underline{Solution:}}}[/tex]

[tex] \large \mathrm {We \: know \: that \: : T} = 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large\mathrm { R = 4\%} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large \mathrm{I = 600} [/tex]

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[tex] \mathrm{Formulate \: and \: substitute: \: 600 = prt} \\ \mathrm{Multiply \: the \: monomials :0.12x \: 600 } \\ \mathrm{Divide \: both \: sides \: of \: the \: equation \: by \: the } \\ \mathrm{coefficient \: of \: variable :x \frac{600}{0.12} } \\ \mathrm {Multiply \: both \: the \: numerator \: and \: denominator} \\ \mathrm{with \: the \: same \: integer :x = \frac{60000}{12} } \\ \mathrm{Cross \: out \: the \: common \: factor : x = \red{ 5,000.00}}[/tex]

∴ Answer: Php 5,000.00

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