Question

divide ruppes 1750 among P,Q,R such that P gets 50% of what Q gets and Q gets 50% of what R gets.​

Answer 1

${\huge{\sf {\orange{\underline{Answer}}}}}$

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P gets ₹ 250

Q gets ₹ 500

R gets ₹ 1000

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${\huge{\sf {\orange{\underline{Explanation: }}}}}$

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Let us assume that R gets ₹ x

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So,

Q gets 50% of R

⇢ $50\% \times x$

⇢ $\frac{50}{100} \times x$

⇢ $\frac{1}{2} \times x$

⇢ $\frac{x}{2}$

$\: \: \:$

P gets 50% of Q

⇢ $50\% \times \frac{x}{2}$

⇢ $\frac{50}{100} \times \frac{x}{2}$

⇢ $\frac{1}{2} \times \frac{x}{2}$

⇢ $\frac{x}{4}$

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According to Sum,

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$x + \frac{x}{2} + \frac{x}{4} = 1750$

Taking the LCM of 1, 2, 4 = 4

↬ $\frac{4x \: + \: 2x \: + \: x}{4} = 1750$

↬ $\frac{7x}{4} = 1750$

↬ $7x = 1750 \times 4$

↬ $x = \frac{1750 \: \times \: 4}{7}$

↬ $x = 250 \times 4$

↬ $x = 1000$

$\: \: \:$

Amount R got = $x$ = ₹ 1000

Amount Q got = $\frac{x}{2} = \frac{1000}{2}$ = ₹ 500

Amount P got = $\frac{x}{4} = \frac{1000}{4}$ = ₹ 250

Answer 2

Hi sis

kasi hoo

May God cherish u all the happiness