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A man buys 3 type-I cakes and 6 type-II cakes for Rs. 900. He sells type-I cakes at a profit of 15% and type-II cakes at a loss of 10%. If his overall profit is Rs.30, the cost price (in Rs.) of a type-I and of a type-II cakes is
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- 100, 100
- 160, 70
- 180, 60
- 120, 90
Correct Option: B
Let the C.P. of each cake of type–I be Rs. x and that of type – II be Rs. y.
given in question ,
∴ 3x + 6y = 900
⇒ x + 2y = 300 ..... (i)
| Again, 3 × | + | = 930 | 100 | 100 |
⇒ 115x + 180q = 31000
By equation (i) × 2 – (ii),
| ⇒ y = | = Rs. 70 | 50 |
From equation (i), x + ( 2 × 70 ) = 300
⇒ x = Rs. (300 – 140) = Rs. 160
