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Rudiy27
3 years ago
12

.Sayad bought a watch and sold to Dakshes at 10% profit. Dakshes again sold it to shayata for rs 6050 at 10% profit.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0

Answer:

Step-by-step explanation:

Cost Price Dakshes:

SP = ₹ 6050

Profit = 10 %

CP = \frac{100}{100+profit}*SP\\\\=\frac{100}{110}*6050\\\\= 5500

CP of Dakshes = ₹5500

Cost price of the watch for Dakshes is the selling price for Sayad

<u>Sayad:</u>

SP = ₹ 5500

Profit 10 %

CP =\frac{100}{110}*5500\\\\

       = ₹5000

CP of Dayad = ₹ 5000

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<h2>Explanation:</h2><h2></h2>

The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:

\angle BCE=\beta \\ \\ \angle DCE=\theta

Every internal angle of any rectangle measures 90 degrees, so:

\beta +\alpha=90 \\ \\ (4x-23)+(5+5x)=90 \\ \\ \\ Isolating \ x: \\ \\ (4x+5x)+(5-23)=90 \\ \\ 9x-18=90 \\ \\ 9x=108 \\ \\ x=\frac{108}{9}=12

So:

\beta=4x-23=4(12)-23=25^{\circ}

So the measure of angle BEC can be found as follows:

We know that triangle ΔCEB is an isosceles triangle because the diagonals of any rectangle measure the same. So

\angle EBC=\beta

The sum of internal angles of any triangle add up to 180 degrees, so:

\beta + \beta+\angle BEC=180^{\circ} \\ \\ 2\beta+\angle BEC=180^{\circ} \\ \\ \angle BEC=180^{\circ}-2\beta \\ \\ \angle BEC=180^{\circ}-2(25^{\circ}) \\ \\ \angle BEC=180^{\circ}-50^{\circ} \\ \\ \boxed{\angle BEC=130^{\circ}}}

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Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

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Average range of change from 3 to 9

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