Question
A man bought a horse and sold it at a
gain of 10%. Had he bought it at 20% less and sold it if for Rs. 10 more, he would have made a profit of 40%. What is the cost price of the horse?Solution
Let the actual C.P. be Rs. 100 Actual S.P. at 10% gain = Rs. 110 Supposed C.P. at 20% less = Rs.80 Supposed S.P. at 40% gain = `140/100xx80 = Rs.112` Diff. in S.P. = 112 - 110 = Rs. 2 If the difference is Rs. 2, then C.P. = Rs. 100 If the difference is Rs. 10, then C.P. `=100/2xx10 = Rs.500`
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