Profit And Loss

Quantitative Finance Level 2

A shopkeeper sold a TV at 18% discount on print rate. If the customer paid Rs.8856 for the TV and the printed price is 20% more than its cost price. What is the cost price of the TV?

Rs.10500 Rs.9500 Rs.8400 Rs.9000

Yuki Kuriyama by Yuki Kuriyama , 22, India

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1 solution

Tapas Mazumdar
Sep 16, 2016

Discount rate = 18 % 18\% of M P Here M P = Printed price or rate MP~~~~~~~~~~~~~~~~~~\color{#302B94}{\text{Here} ~ MP= \text{Printed price or rate}}

So,

S P = 82 % of M P ⟹ 8856 = 82 % of M P ⟹ M P = R s . 10800 \begin{aligned}SP & =82\%~\text{of} ~MP \\ & \implies 8856=82\% ~\text{of} ~MP \\ & \implies MP=Rs.~10800 \end{aligned}

Now,

M P = 120 % of C P ⟹ 10800 = 120 % of C P ⟹ C P = 10800 × 100 120 ⟹ C P = R s . 9000 \begin{aligned} MP & =120\% ~\text{of} ~CP \\ & \implies 10800=120\% ~\text{of} ~ CP \\ & \implies CP=\dfrac{10800\times100}{120} \\ & \implies CP=Rs.~9000 \end{aligned}

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