Question

raju sold bicycle to amit at 8% profit.amit repairing it spending rs 54. then sold to nikhil for rs 1134 with no loss no profit. find the cost price of the bicycle for which raju purchased it.

Answer 1

THANKS FOR THE QUESTION !

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GIVEN :

=> RAJU SOLD A BICYCLE TO AMIT AT 8% PROFIT

=> AMIT REPAIRED IT FOR RS 54

=> SOLD IT TO NIKHIL AT RS 1,134 WITH NO LOSS NO GAIN ......

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LET,

=> THE COST PRICE OF THE BICYCLE :

=> 100X

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RAJU TOOK IT FOR RS 100X

=> HE SOLD TO AMIT AT 8% PROFIT

=> 8% OF 100X

=> 8 / 100 * 100X

=> 8X
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SELLING PRICE OF BICYCLE :

=> COST PRICE + PROFIT

=> 100X + 8X

=> 108X

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AMIT REPAIRED IT FOR RS 54

=> NEW COST PRICE :

=> PRIMARY CP + REPAIRING COST :

=> 108X + 54RS

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AMIT SOLD IT AT NO PROFIT NO LOSS

=> MEANS HE SOLD IT AT COST PRICE

=> 108X + 54RS

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BUT SELLING PRICE IS GIVEN

=> AMIT SOLD IT TO NIKHIL AT RS 1,134

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=> 108X + 54 RS = 1,134 RS

=> 108X = 1,134 RS - 54 RS

=> 108 X = 1,080 RS

=> X = 1,080 RS / 108

=> X = 10 RS

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TO FIND :

=> THE PRICE FOR WHICH RAJU TOOK THE BICYCLE

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RAJU TOOK THE BICYCLE FOR PRIMARY COST PRICE :

=> 100X

=> 100 * 10 RS

=> 1,000 RS

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HOPE IT WILL HELP U ........

THANKS AGAIN ..........

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Answer 2

Raju➡️Amit sold Bicycle at=8% profit

Amit Repairing spending=₹54

Amit➡️Nikhil sold Bicycle at=0% profit

Means CP That Amit sold to Nikhil =₹1134
But we all know he spent =₹54

Means Actual SP in which Amit buy from Raju
=₹(1134-54)
=₹1080

This Means Raju Sold it for=₹1080
And gain 8% profit
➡️Let CP of Raju's Bicycle=₹x
Means
X+(X×8%)=1080
X+(X×8/100)=1080
X+(x×2/25)=1080
X+2X/25=1080
25x+2x/25=1080
27x/25
X=1080×25/27
X=₹1000

Raju Buy it for=₹1000