Question 55

A man sold two gifts at ₹30 each. On one gift he gained 18%, and on the other gift he lost 18%. What is his over all gain/loss (in ₹)?

Solution

Let the two items be X and Y respectively

X be sold at 18% gain

Y be sold at 18% loss

Cost price of x = $$\frac{30}{118} \times$$ 100 = Rs 25.42

Cost price of y = $$\frac{30}{82} \times$$ 100 = Rs 36.58

Gain on sale of x = 30 - 25.42 = 4.58

Loss on sale of y = 36.58 - 30 = 6.58

Net loss = Rs 6.58 - Rs 4.58 = Rs 2

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