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A lady went shopping and spent half of what she had on buying hankies and gave a rupee to a beggar waiting outside the shop. She spent half of what was left on a lunch and followed that up with a two rupees tip. She spent half of the remaining amount on books and three rupees on bus fare. When she reached home, she found that she had exactly one rupee left. How much money did she start with?​

Answer» <html><body><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><h2>________________________</h2><p><img align="absmiddle" alt="\sf \green{Let : - }" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%20%5Csf%20%5Cgreen%7BLet%20%20%3A%20%20-%20%7D" title="\sf \green{Let : - }"/></p><ul><li><strong><a href="https://interviewquestions.tuteehub.com/tag/lady-538529" style="font-weight:bold;" target="_blank" title="Click to know more about LADY">LADY</a> </strong><a href="https://interviewquestions.tuteehub.com/tag/started-3073717" style="font-weight:bold;" target="_blank" title="Click to know more about STARTED">STARTED</a> with <strong><a href="https://interviewquestions.tuteehub.com/tag/rs-625947" style="font-weight:bold;" target="_blank" title="Click to know more about RS">RS</a>.</strong><strong> </strong><strong>x</strong></li></ul><h2>________________________</h2><p><img align="absmiddle" alt="\rm \: Money \: spent \: on \: hankies \\ \twoheadrightarrow \bf \: \frac{x}{2} \\ \\ \rm Remainder = x - \frac{x}{2} \\ \twoheadrightarrow \bf \frac{2x - x}{2} \\ \twoheadrightarrow \bf \frac{x}{2} \\ \\ \rm \: Money \: spent \: to \: beggar \\ \twoheadrightarrow \bf \: rs. \: 1 \\ \\ \rm \: Remainder = \frac{x}{2} - 1 \\ \twoheadrightarrow \bf \frac{x - 2}{2} \\ \\ \rm \: Money \: spent \: on \: lunch \\ \twoheadrightarrow \bf \frac{x - 2}{4} \\ \\ \rm \:Remainder = \frac{x - 2}{2} - \frac{x - 2}{4} \\ \twoheadrightarrow \bf \: \frac{x - 2}{4} \\ \\ \rm \: Money \: spent \: on \: tip = rs.2 \\ \\ \rm \: Remainder = \frac{x - 2}{4} - 2\\ \twoheadrightarrow \bf \: \frac{x - 2 - 8}{4} \\ \twoheadrightarrow \bf \frac{ x - 10}{4} \\ \\ \rm \: Money \: spen t \: on \: books \\ \twoheadrightarrow \bf \frac{x - 10}{8} \\ \\ \rm \: Remainder = \frac{x - 10}{4} - \frac{x - 10}{8} \\ \twoheadrightarrow \bf \frac{x - 10}{8} \\ \\ \rm \: Money \: spent \: on \: bus \: fare \\ \twoheadrightarrow \bf rs. \: 3 \\ \\ \rm \: Remainder = \frac{x - 10}{8} - 3 \\ \twoheadrightarrow \bf \frac{x - 10 - 24}{8} \\ \twoheadrightarrow \bf \frac{x - 34}{8} \\ \\ \bold{ \bigstar \: ACQ} \\ \therefore \: \tt \frac{x - 34}{8} = 1 \\ \tt \dashrightarrow \: x - 34 = 8 \\ \dashrightarrow \tt \boxed{ \tt \: x = &lt;klux&gt;42&lt;/klux&gt;}" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%20%5Crm%20%5C%3A%20Money%20%5C%3A%20spent%20%5C%3A%20on%20%5C%3A%20hankies%20%5C%5C%20%20%5Ctwoheadrightarrow%20%5Cbf%20%5C%3A%20%20%5Cfrac%7Bx%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20%20%5Crm%20Remainder%20%3D%20x%20-%20%20%5Cfrac%7Bx%7D%7B2%7D%20%20%5C%5C%20%20%5Ctwoheadrightarrow%20%5Cbf%20%5Cfrac%7B2x%20-%20x%7D%7B2%7D%20%20%5C%5C%20%5Ctwoheadrightarrow%20%5Cbf%20%5Cfrac%7Bx%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5C%3A%20Money%20%5C%3A%20spent%20%5C%3A%20to%20%5C%3A%20beggar%20%5C%5C%20%5Ctwoheadrightarrow%20%5Cbf%20%5C%3A%20rs.%20%5C%3A%201%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5C%3A%20Remainder%20%3D%20%20%5Cfrac%7Bx%7D%7B2%7D%20%20-%201%20%5C%5C%20%5Ctwoheadrightarrow%20%5Cbf%20%5Cfrac%7Bx%20-%202%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5C%3A%20Money%20%5C%3A%20spent%20%5C%3A%20on%20%5C%3A%20lunch%20%5C%5C%20%5Ctwoheadrightarrow%20%5Cbf%20%5Cfrac%7Bx%20-%202%7D%7B4%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5C%3ARemainder%20%3D%20%20%5Cfrac%7Bx%20-%202%7D%7B2%7D%20%20%20-%20%20%5Cfrac%7Bx%20-%202%7D%7B4%7D%20%20%5C%5C%20%5Ctwoheadrightarrow%20%5Cbf%20%5C%3A%20%20%5Cfrac%7Bx%20-%202%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20%20%20%5Crm%20%5C%3A%20Money%20%5C%3A%20spent%20%5C%3A%20on%20%5C%3A%20tip%20%3D%20rs.2%20%5C%5C%20%20%5C%5C%20%20%20%5Crm%20%5C%3A%20Remainder%20%20%3D%20%20%5Cfrac%7Bx%20-%202%7D%7B4%7D%20%20-%202%5C%5C%20%5Ctwoheadrightarrow%20%5Cbf%20%5C%3A%20%20%5Cfrac%7Bx%20-%202%20-%208%7D%7B4%7D%20%20%5C%5C%20%5Ctwoheadrightarrow%20%5Cbf%20%5Cfrac%7B%20x%20-%2010%7D%7B4%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5C%3A%20Money%20%5C%3A%20spen%20t%20%5C%3A%20on%20%5C%3A%20books%20%20%5C%5C%20%20%5Ctwoheadrightarrow%20%5Cbf%20%5Cfrac%7Bx%20-%2010%7D%7B8%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5C%3A%20Remainder%20%3D%20%20%5Cfrac%7Bx%20-%2010%7D%7B4%7D%20%20%20-%20%20%5Cfrac%7Bx%20-%2010%7D%7B8%7D%20%20%5C%5C%20%5Ctwoheadrightarrow%20%5Cbf%20%5Cfrac%7Bx%20-%2010%7D%7B8%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5C%3A%20Money%20%5C%3A%20spent%20%5C%3A%20on%20%5C%3A%20bus%20%5C%3A%20fare%20%5C%5C%20%5Ctwoheadrightarrow%20%5Cbf%20rs.%20%5C%3A%203%20%5C%5C%20%20%5C%5C%20%5Crm%20%5C%3A%20Remainder%20%3D%20%20%5Cfrac%7Bx%20-%2010%7D%7B8%7D%20-%203%20%20%5C%5C%20%20%5Ctwoheadrightarrow%20%5Cbf%20%5Cfrac%7Bx%20-%2010%20-%2024%7D%7B8%7D%20%20%5C%5C%20%20%5Ctwoheadrightarrow%20%5Cbf%20%5Cfrac%7Bx%20-%2034%7D%7B8%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cbold%7B%20%5Cbigstar%20%5C%3A%20ACQ%7D%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%5Ctt%20%20%5Cfrac%7Bx%20-%2034%7D%7B8%7D%20%3D%201%20%5C%5C%20%20%20%5Ctt%20%20%5Cdashrightarrow%20%5C%3A%20x%20-%2034%20%3D%208%20%5C%5C%20%20%5Cdashrightarrow%20%5Ctt%20%5Cboxed%7B%20%5Ctt%20%5C%3A%20x%20%3D%2042%7D" title="\rm \: Money \: spent \: on \: hankies \\ \twoheadrightarrow \bf \: \frac{x}{2} \\ \\ \rm Remainder = x - \frac{x}{2} \\ \twoheadrightarrow \bf \frac{2x - x}{2} \\ \twoheadrightarrow \bf \frac{x}{2} \\ \\ \rm \: Money \: spent \: to \: beggar \\ \twoheadrightarrow \bf \: rs. \: 1 \\ \\ \rm \: Remainder = \frac{x}{2} - 1 \\ \twoheadrightarrow \bf \frac{x - 2}{2} \\ \\ \rm \: Money \: spent \: on \: lunch \\ \twoheadrightarrow \bf \frac{x - 2}{4} \\ \\ \rm \:Remainder = \frac{x - 2}{2} - \frac{x - 2}{4} \\ \twoheadrightarrow \bf \: \frac{x - 2}{4} \\ \\ \rm \: Money \: spent \: on \: tip = rs.2 \\ \\ \rm \: Remainder = \frac{x - 2}{4} - 2\\ \twoheadrightarrow \bf \: \frac{x - 2 - 8}{4} \\ \twoheadrightarrow \bf \frac{ x - 10}{4} \\ \\ \rm \: Money \: spen t \: on \: books \\ \twoheadrightarrow \bf \frac{x - 10}{8} \\ \\ \rm \: Remainder = \frac{x - 10}{4} - \frac{x - 10}{8} \\ \twoheadrightarrow \bf \frac{x - 10}{8} \\ \\ \rm \: Money \: spent \: on \: bus \: fare \\ \twoheadrightarrow \bf rs. \: 3 \\ \\ \rm \: Remainder = \frac{x - 10}{8} - 3 \\ \twoheadrightarrow \bf \frac{x - 10 - 24}{8} \\ \twoheadrightarrow \bf \frac{x - 34}{8} \\ \\ \bold{ \bigstar \: ACQ} \\ \therefore \: \tt \frac{x - 34}{8} = 1 \\ \tt \dashrightarrow \: x - 34 = 8 \\ \dashrightarrow \tt \boxed{ \tt \: x = 42}"/><strong></strong></p><p><strong>So,</strong><strong> </strong><strong>lady </strong><strong>started </strong><strong>with </strong><strong>Rs.</strong><strong> </strong><strong>4</strong><strong>2</strong></p><h2><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong><strong>_</strong></h2></body></html>


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