vibha sold a watch to nandni at a gain of 12% . nandni sold it to neeta at a loss of5%. if neete paid 1330 for it how much did vibha pay for the watch.
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Let the CP for Vinod be Rs.x.
Profit%. = 12%
SP for Vinod = (1+r/100)*CP
= (1+12/100)*Rs.x
= Rs.28x/25
SP for Vinod = CP for Arun
CP for Arun. = Rs.28x/25
Loss%. = 5%
SP for Arun. = (1-r/100)*CP
= (1-5/100)*Rs.28x/25
= 24/25*Rs.28x/25
= Rs. 6x/7
SP for Arun = CP for Manoj
CP for Manoj= Rs.6x/7
But the given CP for Manoj is Rs.3990.
Rs.6x/7. = Rs.3990
Rs.x. = Rs.3990*7/6
= Rs. 4655
Ans.= Vinod paid Rs.4655 for the watch.
Hope this helps you!
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Cp of watch for neete = sp of watch for nandi
Sp =1330 loss =5%
Cp =1400
Cp of watch for nandni = sp of watch for vibha
Sp =1400 gain =12%
Cp =1568
So cp of watch =₹1568
Sp =1330 loss =5%
Cp =1400
Cp of watch for nandni = sp of watch for vibha
Sp =1400 gain =12%
Cp =1568
So cp of watch =₹1568
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