Question 4

Neha Chaudhary bought some goods for Rs. 10000. She sold half of the goods at a loss of 25%. At what percent of profit should she sell the remaining goods so that she gets a gain of 38% on the whole transaction ?

Solution

Total CP = Rs. 10,000

Total SP for a profit of 38% = $$10,000 \times \frac{138}{100}$$

= Rs. 13,800

SP of half of goods = $$5,000 \times \frac{75}{100}$$

= Rs. 3,750

=> Required SP of remaining goods = 13,800 - 3,750 = Rs. 10,050

Required gain = 10,050 - 5,000 = Rs. 5,050

$$\therefore$$ Required gain % = $$\frac{5050}{5000} * 100$$ = 101%

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