Question

An amount is distributed between pinki and dheeraj in ratio 3:7 respectively. If dheeraj got 240 rs. More than how much will be the total amount

Answer 1

Step-by-step explanation:

(3/10)x= x/2+240

3x=10x/2+2400

6x=(10x+2400)

-4x=2400

x=600

Answer 2

$\bf \: \underline {Given } \: \: \large{\curvearrowright}$

$\small \sf \: Ratio \: of \: amount \: distribution \: between \: Pinki \: and \: Dheeraj = 3 : 7$

$\small \sf \: Dheeraj \: got \: Rs. \: 240 \: more \: than \: Pinki.$

$\bf \: \underline{To \: find} \: \: \large{\curvearrowright}$

$\small \sf \: We \: have \: to \: find \: the \: total \: amount.$

$\bf\red{\star}\: \underline{ So,\:Let's\:Start} \: \red{\star}$

$\sf \: Let \: us \: assume \: that :$

$\sf \: \bull \longmapsto \: Pinki's \: Share \: be \: M$

$\sf \: \bull \longmapsto \: Dheeraj \: share \: be \: M \: + \: 240$

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

$\sf \longrightarrow \: \dfrac{M }{M + 240} = \dfrac{3}{7}$

$\sf \: \underline{Solving \: the \: above \: expression}$

$\sf \longrightarrow \: 7M = 3(M + 240)$

$\sf \longrightarrow \: 7M = 3M + 720$

$\sf \longrightarrow \: 7M - 3M = 720$

$\sf \longrightarrow \: 4M = 720$

$\sf \longrightarrow \: M = \dfrac{720}{4}$

$\sf \longrightarrow \: M = 180$

$\sf \: \underline{Now, \: Finding \: the \: total \: amount}$

$\sf \longmapsto \: M + M + 240$

$\sf \longmapsto \: \underline{180 + 180} + 240$

$\sf \longmapsto \: 360 + 240$

$\sf \longmapsto \: 600$

$\underline{ \boxed{ \pink{ \sf \: Hence \: the \: total \: amount \: is \: Rs.600}}}$