<u>Given </u><u>:</u><u>-</u>
- A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer.
- The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer .
- Customer has to pay 13% VAT .
<u>To </u><u>Find </u><u>:</u><u>-</u>
- Amount to be paid by the customer .
<u>Sol</u><u>u</u><u>tion </u><u>:</u><u>-</u>
Here , according to the question ,
Therefore cost after adding VAT ,
Again the values added by the retailer before selling to customer ,
- Transport = Rs 250
- Profit = Rs 300
- Tax = Rs 150
Therefore total cost after adding these ,
Again Selling price after addition of 13% VAT ,
<u>Hence </u><u>the </u><u>amount </u><u>to </u><u>be </u><u>paid </u><u>by </u><u>the </u><u>customer </u><u>is </u><u>Rs </u><u>6</u><u>1</u><u>5</u><u>4</u><u> </u><u>.</u>
Consider angle XZY in the attached figure. It is always 1/2 the measure of arc XY, no matter where Z may be located on the major arc XZY. This is true even when ZY is very short.
Now, consider what happens when Z falls on top of tangent point Y. The angle is still half the measure of arc XY, still 62°.
Selection C is appropriate.
_____
I apologize for any confusion caused by my choice of Z as the name of the point I added. Nothing in my explanation is intended to refer to the Z already shown in the unmodified figure.
Answer:
B. Beth's age is 18 years, and Sally's age is 42 years.
Step-by-step explanation:
You can solve this question in a couple of different ways. First, you can use process of elimination. You know that Sally is older than Beth because she has to be 3 times older 6 years ago, so you can get rid of options C and D because they both show Beth as being older. Now you only have A and B, and you can use a different process. Now from just looking at it, you can tell that A actually already shows Sally as 3 times Beth's age, 15 * 3 = 45. If you go to B, you can go ahead and subtract 6 from 18 (Beth's age) which will give you 12, and then multiply that by 3 to get 36. Now if you take 42 (Sally's age) and subtract 6 from it as well, you will get 36. This means that is lines up. To simplify, you are subtracting 6 from both 18 and 42, and then you are multiplying the lower number by 3 to see if it gets to the bigger number.
Hope this helped ^-^
We know that:

Then:

Therefore:

Simplifying the above result we get:

Answer: