Question

solve this question with explanations. please i will mark your answers brainlist . i am not able to find answer​

Answer 1

Answer:

2160

Step-by-step explanation:

Let us assume cost of the tricycle be x.

It is given that it is sold at a gain of 15% = 15x/100.

Also it is given that if it sold for 108 the profit would have been 20% = 20x/100.

20x/100 - 15x/100 = 108

5x/100 = 108

5x = 10800

x = 2160.

The cost price of the tricycle  = 2160

Answer 2

Given :

• Gain% = 15%
• It was sold for ₹108 more & Profit would have been 20%

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To Find :

• Cost price of tricycle?

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Solution :

☯ Let the C.P. of tricycle be ₹ x

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★ Case 1 :

$:\implies\sf S.P. = \sf \dfrac{100 + G\%}{100} \times C.P.$

So, here Gain% is 15% [Given]. Let's put the values in the equation.

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$:\implies\sf \sf \bigg( \dfrac{100 + 15\%}{100} \bigg) \times C.P.$

$:\implies\sf S.P. = \sf \dfrac{115 x}{100}. \: . \: . \: . \: (1 )$

★ Case 2 :

$:\implies\sf S.P._2 = \sf \dfrac{100 + G\%}{100} \times C.P.$

$:\implies\sf \sf \bigg (\dfrac{100 + 20\%}{100} \bigg) \times x$

$:\implies\sf S.P._2 = \sf \dfrac{120 x}{100}. \: . \: . \: . \: .(2)$

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$\dag\;{\underline{\bf{According\;to\;the\;Question,}}}$

$:\implies\sf \dfrac{120 \: x}{100} - \dfrac{115 \: x}{100} =108$

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$:\implies\sf 5 x = 108 \times 100$

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$:\implies\sf x = \dfrac{108 \times \cancel{100}} {\cancel{5}}$

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$:\implies\sf x = 108 \times 20$

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$:\implies{\underline{\boxed{\frak{\purple{x = 2160}}}}}\;\bigstar$

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$\therefore\;{\underline{\sf{Hence,\;C.P.\;of\;tricycle\;is\; {\textsf{\textbf{₹\:2160}}}.}}}$