Question

The price of a smartphone is 5000 more than the cost of two feature phones. If the cost of 4 feature phones and two smartphone is 88,000, then find the cost of a smartphone and a feature phone.​

Answer 1

Answer:

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Answer 2

Answer:

$\underline{\bf Given}:$ ↴

Here in this question, it is given that the price of a smartphone is 5000 more than the cost of two feature phones and it is also mentioned that the cost of 4 feature phones and two smartphones is 88,000.

$\bf \underline{To \: find} :$ ↴

We have to find the cost of a smartphone and a feature phone

$\bf \:\underline{\underline{Solution}} :$ ↴

$\sf \: \underline {Let \: us \: assume \: that},$

$\sf \implies The \: cost \: of \: a \: smartphone \: be \: (A)$

$\sf \implies The \: cost \: of \: a \: feature \: phone \: be \: (B)$

$\sf \: \underline{According \: to \: question},$

$\bf \: Case \: (1) :$ ↴

$\small \sf \: The \: price \: of \: a \: smartphone \: is \: Rs. \: 5000 \: more \: than \: the \: cost \: \: of \: two \: feature \: phones .$

$\red{ \sf \implies A =2B +5000 \: \: \: \: \bf{[Equation : 1] }}$

$\bf \: Case \: (2) :$ ↴

$\small \sf \: The \: cost \: of \: 4 \: feature \: phones \: and \: two \: smartphones \: is \: Rs. \: 88000 .$

$\red{ \sf \implies 4B +2A=88000 \: \: \: \: \bf{[Equation : 2] }}$

$\bf \: Now,$

$\sf \: Finding \: the \: cost \: of \: a \: smartphone \: and \: a \: feature \: phone.$

$\sf \: In \: equation - 2,$

$\bf \implies 4B +2A=88000$

$\sf \implies 4B +(2B + 5000)=88000$

$\sf \implies 4B +4B + 1000=88000$

$\sf \implies 8B + 1000=88000$

$\sf \implies 8B =88000 - 1000$

$\sf \implies 8B =78000$

$\sf \implies B = \dfrac{78000}{8}$

$\sf \implies B = \: \dfrac{\!\!\!\not7\!\!\!\not8\!\!\!\not0\!\!\!\not0\!\!\!\not0}{\!\!\!\not8}$

$\sf \implies B = 9750$

$\underline{ \red{ \sf The \: cost \: of \: four \: feature \: phone = Rs. \: 9750}}$

$\sf Now \: we \: will \: find \: the \: cost \: of \: a \: smartphone.$

$\sf \: For \: that, we \: have \: to \: put \: the \: value \: of \: B \: (9750) \: into \: [Equation - 1]$

$\sf \: In \: equation - 1,$

$\bf \implies A =2B +5000$

$\sf \implies A =2 \times 9750 +5000$

$\sf \implies A =19500 +5000$

$\sf \implies A =24500$

$\underline{ \red{ \sf The \: cost \: of \: Smartphone = Rs. \: 24500}}$