for any values of a,if 7sina+4cosa=1,then find the value of 7cosa-4sina
Answers
Step-by-step explanation:
The loss percent of overall dealing is 1 %
Solution:
Given that let the number of chocolates bought be LCM of 11 and 9
L.C.M of 11 and 9:
List all prime factors for each number
Prime Factorization of 9 is:
9 = 3 \times 39=3×3
Prime Factorization of 11 is:
\text{prime factor of 11} = 11prime factor of 11=11
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
3, 3, 11
Multiply these factors together to find the LCM.
LCM = 3 x 3 x 11 = 99
So the total number of chocolates bought = 99 + 99 = 198
Given that whole lot is sold at one rupee per chocolate
So, Selling price of 1 chocolate = Rs 1
Therefore, S.P of 198 chocolates = 1 x 198 = Rs 198
Given that Some chocolates are bought at the rate of 11 for 10 Rs
So cost price of 99 chocolate at rate of 11 of Rs 10
\rightarrow \frac{99}{11} \times 10 = \text{Rs } 90→
11
99
×10=Rs 90
Given that same number at the rate of 9 for 10 Rs
So cost price of 99 chocolate at rate of 9 of Rs 11
\rightarrow \frac{99}{9} \times 10 = \text{ Rs } 110→
9
99
×10= Rs 110
Therefore C.P of all 198 chocolates = Rs 90 + Rs 110 = Rs 200
On comparing cost price and selling price, we get
cost price > selling price , which denotes loss
Let us calculate the loss
Loss = Cost price - selling price
Loss = Rs 200 - Rs 198 = Rs 2
Therefore loss = 2
\text{ loss } \% = \frac{loss}{Cost price} \times 100 loss %=
Costprice
loss
×100
\begin{gathered}\text{ loss } \% = \frac{2}{200} \times 100\\\\\text{ loss } \% = 1\end{gathered}
loss %=
200
2
×100
loss %=1
Therefore loss percent is 1 %
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