Question

a shopkeeper gains 1 rupee on selling each eraser and loses 50 paise on selling each pencil. He sells 45 erasers and some pencils losing 5 rupees in all. Find the number of pencils he sells

Answer 1

Answer:

10 pencil. as 10x 0.50 = 5

Answer 2

Answer:

$\orange\leadsto\sf{Given:-}$

$\leadsto\sf\orange{Sold \: erasers =} \sf{ 45}$

$\leadsto\sf\orange {Gain \: on \: 1 \: eraser = } \sf{1rupee}$

$\leadsto\sf\orange {Loss \: on \: 1 \: pencil = } \sf{50 paise}$

$\leadsto\sf\orange {Total \: Loss =} \sf{ 5rupees}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\orange\leadsto\sf{Find:-}$

$\leadsto\sf\orange{Sold \: pencils = } \: \sf{? }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\orange\leadsto\sf{Let:-}$

$\leadsto\sf \orange{Pencil \: sold \: be \: x}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\orange\leadsto\sf{Solution:-}$

$\leadsto \sf \orange{ \: Gain \: on \: 1 \: eraser = } \sf{1rupee}$

$\leadsto \sf \orange{ \: Gain \: on \: 45 \: erasers = } \sf{1rupee \times 45}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = 45rupees}$

$\leadsto\sf\orange{Convert \: into \: Paise}$

$\leadsto \sf \orange{ 1 \: rupee = } \sf{100 \: paise}$

$\leadsto \sf \orange{ 45 \: rupees = } \sf{45 \times 100 \: paise}$

$\leadsto \sf \orange{ 45 \: rupees = } \sf{4500 \: paise}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\leadsto\sf\orange{Lose \: on \: 1 \: pencil = } \sf{ - 50paise}$

$\leadsto\sf\orange{Lose \: on \: x \: pencil =} \sf{ x \times - 50paise}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = - 50x \: paise}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\leadsto\sf\orange{According \: to \: Question:-}$

$\orange\leadsto \sf{Loss \: on (\: 45 \: Erasers + x \: Pencil )= - 5rupees}$

$\orange\leadsto \sf{Loss \: on (\: 45 \: Erasers + x \: Pencil )= - 500paise}$

$\orange\leadsto \sf{ - 50x = -500 - 4500}$

$\orange\leadsto \sf{ - 50x = -5000}$

$\orange\leadsto \sf{ x = \frac{ \cancel- 500 \cancel0}{ - 5 \cancel0} }$

$\orange\leadsto \sf{ x = \frac{ \cancel5 \cancel0 \cancel0}{ \cancel5} }$

$\leadsto \sf \orange{x = 100}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\leadsto\sf\orange{Pencil \: sold = }\sf{100}$