a watch was sold at a profit of 12%.had it been sold for 33rs more the profit would have been 14%.find cost price of the watch
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Step-by-step explanation:
Let the original price of watch will be x.
Profit = 12% of x
= 12/100x
= 3/25 x
SP = CP + Profit
₹33 = x + 3/25x
₹33 = 28/25x
₹33 × 25/28 = x
₹825/28 = x = CP
New profit = 14% of CP
= 14/100 × ₹825/28
= 7/50 × ₹825/28
= 7/28 × ₹825/50
= 1/4 × ₹33/2
= ₹33/8
New SP = ₹825/28 + ₹33/8
= ₹ 33.59
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