Question

A. Find the C.P. when
1. S.P. = 400, Profit = 60.
2. S.P. = 532, Loss = 18.​

Answer 1

Answer:

S.p - C.p = profit/gain

400 - C.p = 60

Therefore C.p = 400 - 60 = 340

Answer 2

Answer :

1. C.P. = Rs. 250
2. C.P. = Rs. 450.85 ≈

Step-by-step explanation :

$\underline{ \tt{Find \: \: the \: \: C.P. \: \: when}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{1. \: \: \: \: \: S.P. \: = \: 400, \: Profit \: = \: 60}$

As we know that,

$\bf{ C.P.} \: = \sf{ \dfrac{100}{(100 + gain\%)}\: \times \: S.P.}$

Therefore,

$\bf{ C.P.} \: = \sf{ \dfrac{100}{(100 + 60)}\: \times \: 400} \\ \\ \\ = \sf{ \dfrac{100}{160}\: \times \: 400} \\ \\ \\ = \sf{ \cancel{ \dfrac{100}{160}}\: \times \: 400} \\ \\ \\ = \sf{ \dfrac{5}{8}\: \times \: 400} \\ \\ \\ = \: \sf{ \dfrac{5}{ \cancel{8}}\: \times \: \cancel{400}} \\ \\ \\ \sf{ = \: 5 \times 50} \\ \\ \\ \bf{ = 250} \: \: \: \: \bigstar$

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$\underline{ \tt{Find \: \: the \: \: C.P. \: \: when}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{2. \: \: \: \: \: S.P. \: = \: 532, \: Loss \: = \: 18 }$

As we know that,

$\bf{ C.P.} \: = \sf{ \dfrac{100}{(100 - loss\%)}\: \times \: S.P.}$

Therefore,

$\bf{ C.P.} \: = \sf{ \dfrac{100}{(100 - 18)}\: \times \: 532} \\ \\ \\ = \sf{ \dfrac{100}{82}\: \times \: 532} \\ \\ \\ = \sf{ \cancel{ \dfrac{100}{82}}\: \times \: 532} \\ \\ \\ = \sf{ \dfrac{50}{59}\: \times \: 532} \\ \\ \\ \sf{ = \frac{50 \times 532}{59}} \\ \\ \\ \sf{ = \dfrac{26600}{59}} \\ \\ \\ \: \bf{ = 450.85 \approx} \: \: \: \bigstar$