Question

A wholesaler bought dragonfruits and rambutans, the price of dragonfruits per kg being thrice that of rambutans per kg. He then sold 9 kg of rambutans at a profit of 10% and 18 kg of dragonfruits at a profit of 22% to a shopkeeper. However, the shopkeeper lost 6 kg of dragonfruits and 3 kg of rambutans in transit. He then mixed the remaining fruits and sold the mixture at Rs. 170 per kg, thus making an overall profit of 25%. At what price, in Rs. per kg did the wholesaler buy the Dragon fruit.

Answer 1

Answer:

You are Rahul Goel president Of The historical association of your school notice to inform the students of your school about an educational tour which has been organised tyo visit historical place in Jaipur

Answer 2

Solution :-

Let us assume that, the price of rambutans per kg is Rs.x .

so,

→ The price of dragonfruit per kg = 3 * x = Rs.3x .

now,

→ Price of 9 kg of rambutans = x * 9 = Rs.9x

→ Price of 18 kg of dragonfruits = 18 * 3x = Rs.54x

then,

→ SP of rambutans at a profit of 10% = CP * (100 + profit) / 100 = (9x * 110)/100 = Rs.9.9x

→ SP of dragonfruits at a profit of 22% = CP * (100 + profit) / 100 = (54x * 122)/100 = Rs.65.88x

so,

→ Total cost price for shopkeeper = 9.9x + 65.88x = Rs.75.78x

then,

→ Dragonfruits left after 6kg lost = 18 - 6 = 12kg .

→ Rambutans left after 3kg lost = 9 - 3 = 6kg .

given that,

• The shopkeeper mixed the remaining fruits and sold the mixture at Rs. 170 per kg, thus making an overall profit of 25%.

therefore,

→ 75.78x * (125/100) = (12 + 6) * 170

→ 75.78x * (5/4) = 18 * 170

→ 378.9x = 72 * 170

→ 378.9x = 12240

→ x ≈ Rs.32.30

hence,

→ The price of dragonfruit per kg = 3x = 32.30 * 3 = Rs.96.9 ≈ Rs.97 (Ans.)

∴ The wholesaler buy the Dragon fruit at Rs.97 per kg.

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