Question

c.p.a
6. If the principal amount to 3,550 in 4 years at the rate of 10 p.c.p.a. simple
1
2
interest, what is the principal ?
(1) 2,400 (2) * 2,800 (3) 2,500 (4) 3,000
1 2 3​

Answer 1

$\bf\purple{\underline{\boxed{Question}}}$

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IF The principal amount to 3,550 in 4 years at the rate of 10 p.c.p.a. simple.

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$\bf\purple{\underline{\boxed{Solution}}}$

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$\small\tt{let\:us\:assume\:principal\:to\:be\:x}$

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$\small\tt\red{\underline{\boxed{Formula\rightarrow\:\:\:SI\:=\:{\frac{P\times\:N\times\:R}{100}}}}}$

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$\small\tt{SI\:=\:{\frac{x\times4\times10.5}{100}}}$

$\small\tt{SI\:=\:{\frac{42x}{100}}}$

$\small\tt{As\:we\:know,}$

$\small\tt{Amount\:=\: Principal\:+\:SI}$

$\small\tt{Amount\:=\: x\:+\:SI}$

$\small\tt{Amount\:=\: x\:+\:{\frac{42x}{100}}}$

$\small\tt{Where \:amout\:is\:given\:3500}$

$\small\tt{So\:,}$

$\small\tt{3500\:=\: x\:+\:{\frac{42x}{100}}}$

$\small\tt{3500\:=\: {\frac{100x+42x}{100}}}$

$\small\tt{3500\:=\: {\frac{142x}{100}}}$

$\small\tt{3500\times100\:=\: 142x}$

$\small\tt{350000\:=\: 142x}$

$\small\tt{\cancel\frac{350000}{142}}\:=\:x$

$\small\tt{2500\:=\: x}$

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$\small\tt\red{Answer\rightarrow\:\:\:{\underline{\boxed{so, \: principal\:is\:Rs\:2500}}}}$

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$\bf\purple{\underline{\boxed{Hope\:It\: Help\:You}}}$