John sold a watch to Sue at a gain of 20%, and Sue sold it to Rima at a profit of 10%. If Rima paid Rs2,178 for it. how much did
John pay (in Rs) for the watch?
Explanation:
- Rima paid Rs 2,178 for the watch.
- Sue sold it to Rima at a profit of 10%. Therefore, the price at which Sue sold it is the cost price for Rima.
- Let x be the price Sue paid; thus, \(1.1x = 2178\).
- Solving, \(x = \frac{2178}{1.1} = 1980\). So, Sue paid Rs 1,980.
- John sold it to Sue at a gain of 20%.
- Let y be the price John paid; therefore, \(1.2y = 1980\).
- Solving, \(y = \frac{1980}{1.2} = 1650\). So, John paid Rs 1,650.
- Correct Option: 1, \(\text{Rs 1,650} \)
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