A merchant sold 25 caps at RS.9.90 per cap.In this transaction he incurred a loss of RS.40. What is the cost price of each cap?

Question

A merchant sold 25 caps at RS.9.90 per cap.In this transaction he incurred a loss of RS.40. What is the cost price of each cap?

With explanation.​

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Josie 3 weeks 2021-09-21T02:21:19+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-21T02:22:48+00:00

    Answer:

    • The cost price of each cap is Rs 11.50

    Step-by-step explanation:

    Given that:

    • A merchant sold 25 caps at Rs 9.90 per cap.
    • In this transaction he incurred a loss of Rs 40.

    To Find:

    • What is the cost price of each cap?

    We have,

    ∵ Selling price of one cap = Rs 9.90

    ∴ Selling price of 25 caps = Rs 9.90 × 25

    ∴ Selling price of 25 caps = Rs 247.50

    We know that,

    Cost price = Selling price + Loss

    ⟶ Cost price = Rs (247.50 + 40)

    ⟶ Cost price = Rs 287.50

    Now we have,

    ∵ Cost price of 25 caps = Rs 287.50

    ∴ Cost price of one cap = Rs 287.50/25

    ∴ Cost price of one cap = Rs 11.50

    Hence,

    • The cost price of each cap is Rs 11.50
    0
    2021-09-21T02:23:17+00:00

    Answer:

    Given :-

    • A merchant sold 25 caps at Rs 9.90 per cap. In this transaction he incurred a loss of Rs 40.

    To Find :-

    • What is the cost price of each cap.

    Formula Used :-

    \clubsuit Cost Price Formula :

    \longmapsto \sf\boxed{\bold{\pink{Cost\: Price =\: Selling\: Price + Loss}}}\\

    Solution :-

    First, we have to find the selling price of 25 caps :

    If, one caps sells at Rs 9.90 per cap.

    Then,

    \implies \sf S.P\: of\: 25\: caps =\: 9.90 \times 25

    \implies \sf S.P\: of\: 25\: caps =\: \dfrac{990}{100} \times 25

    \implies \sf S.P\: of\: 25\: caps =\: \dfrac{2475\cancel{0}}{10\cancel{0}}

    \implies \sf S.P\: of\: 25\: caps =\: \dfrac{2475}{10}

    \implies \sf\bold{\purple{S.P\: of\: 25\: caps =\: Rs\: 247.50}}

    Now, we have to find the cost price of cap :

    Given :

    • Selling Price = Rs 247.50
    • Loss = Rs 40

    According to the question by using the formula we get,

    \implies \sf Cost\: Price =\: Rs\: 247.50\: + Rs\: 40\\

    \implies \sf Cost\: Price =\: Rs(247.50 + 40)

    \implies \sf \bold{\green{Cost\: Price =\: Rs\: 287.50}}

    Now, we have to find the cost price of each cap :

    If, cost price of 25 cap is Rs 287.50

    Then,

    \longrightarrow \sf C.P\: of\: each\: cap =\: Rs\: \dfrac{287.50}{25}

    \longrightarrow \sf C.P\: of\: each\: cap =\: \dfrac{\dfrac{28750}{100}}{25}

    \longrightarrow \sf C.P\: of\: each\: cap =\: \dfrac{28750}{100} \times \dfrac{1}{25}

    \longrightarrow \sf C.P\: of\: each\: cap =\: \dfrac{28750}{2500}

    \longrightarrow \sf\bold{\red{C.P\: of\: each\: cap =\:Rs\:  11.50}}

    \therefore The cost price of each cap is Rs 11.50.

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