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Mathematics

A wrist watch is available at a discount of 9%. If the list price of the watch is ₹ 1,400, find the discount given and the selling price of the watch.

Profit, Loss & Discount

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Answer

Given:

M.P. of the watch = ₹ 1,400

Discount = 9%

Discount%=DiscountM.P.×1009=Discount1400×100Discount=9×1,400100=12,600100=126\text{Discount\%} = \dfrac{\text{Discount}}{\text{M.P.}}\times 100\\[1em] \Rightarrow 9 = \dfrac{\text{Discount}}{1400}\times 100\\[1em] \Rightarrow \text{Discount} = \dfrac{9 \times 1,400}{100}\\[1em] = \dfrac{12,600}{100}\\[1em] = ₹ 126\\[1em]

As we know,

Discount=M.P. - S.P126=1,400S.P.S.P.=1,400126=1,274\text{Discount} = \text{M.P. - S.P}\\[1em] \Rightarrow 126 = 1,400 - \text{S.P.}\\[1em] \Rightarrow \text{S.P.} = 1,400 - 126\\[1em] = ₹ 1,274\\[1em]

Hence, discount = ₹ 126 and S.P. = ₹ 1,274

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