Question

Match the following:
COLUMN-A COLUMN-B
_________ _________
(i) (a+b)² [ ] (a) (a+b)(a-b)
(ii) a²-b² [ ] (b) log a + log b
(iii) (a-b)² [ ] (c) log a×log b
(iv) log(ab) [ ] (d) log a - log b
(v) log(a/b) [ ] (e) a²+2ab+b²
(f) a²-2ab-b²
(g) a²-2ab+b²
Options:
(A) i-a, ii-f, iii-g, iv-c, v-b
(B) i-e, ii-a, iii-g, iv-b, v-d
(C) i-g, ii-e, iii-f, iv-d, v-b
(D) i-g, ii-a, iii-e, iv-c, v-d​

Answer 1

Let mass of one kind of tea x kg be mixed with another kind of tea mass y kg

SP of x kg tea = Rs 80x

Loss = (CP - SP)/CP

0•2 CP = CP - 80x

0•8CP = 80x. Or CP = 100x

Similarly

Profit = (SP - CP)/CP

0•25CP = 200y - CP

1•25CP = 200y . Or CP = 20000y/125 =160y

Total CP of x and y kg of tea = 100x + 160y

SP of x and y kg of tea = (x + y )×150

Profit = (SP - CP)/CP

0•25 = {(x + y )150 - (100x + 160y)}/(100x +160y)

0•25(100x + 160y) = (50x - 10y)

25x + 40y = 50x - 10y

25x = 50y

x/y = 2/1

Answer 2

Answer:

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