Question

There is a profit of 15%on selling a cycle for Rs402.50.At what price it should be sold to get 8%profit.​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{New\:S.P=378\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Selling \: price(S.P) = 402.5 \: rupees \\ \\ \tt: \implies Profit\% = 15\% \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies New \: S.P\: when \: profit\% \: is \: 8\% =?$

• According to given question :

$\tt \circ \: Let \: C.P \: be \: x \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies S.P = C.P + profit\% \: of \: C.P \\ \\ \tt: \implies 402.5 = x + 15\% \times x \\ \\ \tt: \implies 402.5 = x + \frac{15}{100}x \\ \\ \tt: \implies 402.5 = 1.15x \\ \\ \tt: \implies x = \frac{402.5}{1.15} \\ \\ \green{\tt: \implies x = 350 \: rupees} \\ \\ \bold{For \: new \: S.P} \\ \tt: \implies New \: S.P= C.P + New \: profit\% \: of \: C.P \\ \\ \tt: \implies New \: S.P= 350 + \frac{8}{100} \times 350 \\ \\ \tt: \implies New \: S.P=350 + 28 \\ \\ \green{\tt: \implies New \: S.P =378 \: rupees} \\ \\ \green{\tt \therefore New \: S.P\: is \: 378 \: rupees}$

Answer 2

Answer:

⭐ Question ⭐

✏There is a profit of 15%on selling a cycle for Rs402.50.At what price it should be sold to get 8%profit.

⭐ Given ⭐

✏ Selling Price (S.P) = Rs 402.5

✏ Profit% (P%) = 15%

⭐ To Find ⭐

✏ New S.P when the profit is given 8% = ?

➡ ATQ:-

✏ Let the Cost Price (C.P) be x

✍ As we know that the formula:-

✳ SP = CP + P% of CP✳

Then,

=> 402.5 = x + 15% × x

=> 402.5 = x + 15/100x

=> 402.5 = 1.15x

=> x = 402.5/1.15

=> x = Rs 350

➡ For the New SP:-

✍ As we know the formula:-

✳ New SP = CP + New P% of CP✳

Then,

=> New SP = 350 + 8/100 × 350

=> New SP = 350 + 28

=> New SP = Rs 378

⭐ New SP is Rs 378✔

Step-by-step explanation:

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