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Satish Sells a Washing Machine for Rs. 8,900 and Makes a Profit of 20%. He Sells Another Washing Machine at a Loss of 15%. If on the Whole, He Neither Gains Nor Loses, Find the - Mathematics

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Question

Satish sells a washing machine for Rs. 8,900 and makes a profit of 20%. He sells another washing machine at a loss of 15%. If on the whole, he neither gains nor loses, find the cost price of the second washing machine.

Sum

Solution

For the first washing machine :
S.P. = Rs.8900 and profit = 20%
∴ C.P. = (100100+Profit%)×S.P.

∴ C.P. = (100100+20)×8900

∴ C.P. = 100120×8900

∴ C.P. = 8900012

∴ C.P. = Rs.222503
Since in the whole transaction, there is no profit and no loss,
∴ Loss on the second washing machine
= Profit on the first  washing machine 
= 20% of 222503

= 15×222503

= Rs.44503
For the second washing machine :
Loss = 15% and Loss = Rs.44503, so we have to find the C.P.
C.P. of the second washing machine
= Rs.44503×10015
= Rs.9888.87
Hence, C.P. of the second washing machine is Rs.9888.87 approximately.

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To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given
  Is there an error in this question or solution?
Chapter 2: Profit , Loss and Discount - Exercise 2.2

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 2 Profit , Loss and Discount
Exercise 2.2 | Q 29

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