Question : A sells a cycle to B at a profit of 33% and B sells it to C at a loss of 25%. If C bought the cycle for INR 3059, then the cost price of it for A was:
Option 1: INR $3066 \frac{2}{3}$
Option 2: INR $2044 \frac{1}{3}$
Option 3: INR $4054 \frac{1}{3}$
Option 4: INR $5014 \frac{2}{3}$
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Correct Answer: INR $3066 \frac{2}{3}$
Solution : Selling price of B = 3059 Loss = 25% of cost price 75% of the cost price of B = 3059 The cost price of B = $\frac{3059}{0.75}$ = the selling price of A Profit = 33% of the cost price of A 133% of cost price of A = $\frac{3059}{0.75}$ ⇒ $\frac{133}{100}$ × cost price of A = $\frac{3059×4}{3}$ ⇒ The cost price of A = $\frac{3059×4×100}{3×133} = \frac{9200}{3} = 3066\frac{2}{3}$ Hence, the correct answer is INR $3066 \frac{2}{3}$.
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