100 Mens Joyful Mathematica- Independent Practice 18.1 2 3. An article is sold at Rs 220 and bought at Rs 200. Find the profit percentage made Jyoti bought a mobile set at Rs 11500 and sold at Rs 10000. Find loss percentage in transaction. 4 dozen eggs are bought at Rs 8 per egg, and sold at Rs 10 per egg. Find the net profit and profit percentage made. A man lost 10% by selling a cycle at Rs 4500. Find the cost price of the cycle When an article is sold at Rs 2200, 10% Profit is made. Find the selling price of same article when it is sold at 5% loss. Manorama sells an article at 25% profit. If she had charged Rs 50 more, the profit would have been 30%. Find the cost price of the article.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

the graph g(x) is f(x) translated 7 units in the negative y direction and translated 2 units in the negative x direction