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Question

Ramesh bought two boxes for Rs. 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.


Solution

Total cost price of two boxes = Rs. 1300
S.P of each box is same.
Let S.P of each box = Rs. 100
S.P of first box = Rs. 100
Gain =20%
C.P =S.P×100100+gain%=100×100100+20=Rs.10000120
S.P of second box = Rs. 100
Loss =12%
C.P =S.P×100100Loss%=100×10010012=1000088
Now ratio in their C.P's
=10000120:1000088=1120:188=88:120=11:15
Sum of ratio's = 11 + 15 = 26
C.P of first box =Rs.1300×1126
= Rs. 550
and C.P of second box =Rs.1300×1526
= Rs. 750


Mathematics
RD Sharma
Standard VIII

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