A man bought two cows for Rs. 1030. By selling one of them at a gain of 10 p.c. and the other at a loss of 4 p.c., he got the same money in each case. Find the cost price of each cow.
Answers
Step-by-step explanation:
Solution
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We first find out the cost price of each cow and then add them to find the total amount spent. We know the total money received. Comparing them, we will know whether there is a loss or gain in the whole transaction.
First Cow:
S.P.=Rs.12,000.
Gain=20%. Therefore,
Cost price =
(100+gain)
100
×S.P.
=
(100+20)
100
×12000
=
120
100
×12000
=10000. Second Cow:
S.P.=Rs.12,000.
Loss=20%. Therefore,
Cost price =
(100−loss)
100
×S.P.
=
(100−20)
100
×12000
=
80
100
×12000
=15000.
Therefore, the total cost price is 10000+15000=25000
And total selling price is 12000×2=24000
Thus, cost price greater than selling price.
Hence, there is a loss of Rs. 1000.
Step-by-step explanation:
there is a loss of rs. 1000