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Fresh watermelon contains 75% of water by weight, whereas dry watermelon contains 50% of water by weight. Radhika buys 100kg of fresh watermelons for a total price of Rs. 300. At what price per kg should she sell the dry watermelon (fresh watermelon are dried up) to earn 60% profit?

Fresh watermelon contains 75% of water by weight, whereas dry watermelon contains 50% of water by weight. Radhika buys 100kg of fresh watermelons for a total price of Rs. 300. At what price per kg should she sell the dry watermelon (fresh watermelon are dried up) to earn 60% profit? Correct Answer Rs. 9.6

Given :

Fresh watermelon contains 75% of water by weight.

Dry watermelon contains 50% of water by weight.

Radhika buys 100kg of fresh watermelons for a total price of Rs. 300.

Concept : 

Weight of watermelons pulp is same in dry watermelon and in fresh watermelon

Solution :

Weight of watermelons pulp in fresh watermelon = 100 × 25% = 25 kg

So, Weight of watermelons pulp in dry watermelon = 25 kg

⇒Weight of water in dry watermelon = 25 kg

Hence, total weight of dry water melon = 25 + 25 = 50 kg

Hence, Selling price = 1.6 × cost price= 300 × 1.6 = Rs. 480

∴ Price per kg = 480/50 = Rs. 9.6

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