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ICSE Class 8 Answered

Prabhu and Sohail share expenses in a 13:10 ratio while Saif and Prabhu share expenses in a 10:11 ratio. On a picnic, Prabhu spends ₹650,Sohai₹l 710,and Saif spends ₹555.. How will the three friends see to it that the expense sharing ratios are followed? 
Asked by Cl_narayan | 26 Jul, 2019, 04:37: PM
answered-by-expert Expert Answer
Money spent by Prabhu = Rs 650
Money spent by Sohail = Rs 710
Money spent by Saif = Rs 555
 
now by given ratios
if Prabhu spents 13x Rs then shohail's share is 10x
similarly in second case
Saif spends 10y and Prabhu 11y
now 
13x = 11 y
y = 13/11 x
 
so now
saif space equals fraction numerator 13 cross times 10 over denominator 11 end fraction straight x prabhu space equals space fraction numerator 11 cross times 13 over denominator 11 end fraction straight x equals 13 straight x Sohail space equals space 10 space straight x Ratios space are 10 space colon space 13 space colon space 130 over 11 110 space colon space 143 space colon space 130
total amount = 650+710+555=1915
Expected saif apostrophe straight s space contribution space space equals fraction numerator 130 over denominator 110 plus 143 plus 130 end fraction cross times 1915 equals 650 Prabhu apostrophe straight s space contribution space space equals fraction numerator 143 over denominator 110 plus 143 plus 130 end fraction cross times 1915 equals 715 sohail apostrophe straight s space contribution space space equals fraction numerator 110 over denominator 110 plus 143 plus 130 end fraction cross times 1915 equals 550
Answered by Arun | 27 Jul, 2019, 11:42: AM

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