Three friends Akbar Ali, Richard and Ramya went to a vegetable market to purchase
vegetables. From the vegetable shop, Akba

Three friends Akbar Ali, Richard and Ramya went to a vegetable market to purchase
vegetables. From the vegetable shop, Akbar Ali purchased 1 kg of each Potato, Onion and
Tomato for a total of Rs 85. Richard purchased 4 kg of potato, 3kg of onion and 2 kg of tomato
for Rs 280 while Ramya purchased 6 kg potato, 2 kg onion and 3 kg tomato for Rs 345

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2 thoughts on “Three friends Akbar Ali, Richard and Ramya went to a vegetable market to purchase <br /> vegetables. From the vegetable shop, Akba”

  1. Given : Akbar Ali purchased 1 kg of each Potato, Onion and Tomato for a total of Rs 85.

    Richard purchased 4 kg of potato, 3kg of onion and 2 kg of tomato

    for Rs 280

    Ramya purchased 6 kg potato, 2 kg onion and 3 kg tomato for Rs 345

    To Find : Price of potato , onion and tomato

    Solution:

    1 kg of each Potato, Onion and Tomato for a total of Rs 85.

    => P + O + T = 85 Eq1

    4 kg of potato, 3kg of onion and 2 kg of tomato for Rs 280

    => 4P + 3O + 2T = 280 Eq2

    6 kg potato, 2 kg onion and 3 kg tomato for Rs 345

    => 6P + 2O + 3T = 345 Eq3

    Eq2 – 2 * Eq1

    => 2P + O = 110

    Eq3 – 3 * Eq1

    => 3P – O = 90

    Adding both

    5P = 200

    => P = 40

    2P + O = 110 => 2(40) + O = 110

    => O = 30

    P + O + T = 85

    40 + 30 + T = 85

    => T = 15

    Potato = 40 Rs per kg

    Onion = 30 Rs per kg

    Tomato = 15 Rs per kg

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