The last time Rahul bought Diwali cards, he found that the four types of cards that he liked were ...
The last time Rahul bought Diwali cards, he found that the four types of cards that he liked were priced Rs.9.00, Rs.7.00, Rs.4.50 and Rs.5.50 each. As Rahul wanted 30 cards, he took five each of two kinds and ten each of the other two, putting down the exact number of 20 rupees notes on the counter payment. How many notes did Rahul give?
Answer/Solution
9
Steps/Work
Explanation :
Let the four cards be a, b ,c and d. 'x' be the number of notes.
Then, according to the question,
=> 5a + 5b + 10c + 10d = 20*x.
=> a + b + 2(c+d) = 4 * x . -----------------------------(i)
Since, a + b = 9+7 = 16
And,
=> c + d = 4.50+5.50= 10 .
Putting these values in (i), we get :-
=> 16 + 2 *10 = 4 * x.
=> x = 9 .
Answer : D
Let the four cards be a, b ,c and d. 'x' be the number of notes.
Then, according to the question,
=> 5a + 5b + 10c + 10d = 20*x.
=> a + b + 2(c+d) = 4 * x . -----------------------------(i)
Since, a + b = 9+7 = 16
And,
=> c + d = 4.50+5.50= 10 .
Putting these values in (i), we get :-
=> 16 + 2 *10 = 4 * x.
=> x = 9 .
Answer : D