Nikhil’s mother asks him to buy 100 pieces of sweets worth Rs. 100/-. The sweet shop has 3 kinds of sweets, kajubarfi, gulabjamun and sandesh. Kajubarfi costs Rs. 10/- per piece, gulabjamun costs Rs. 3/- per piece and sandesh costs 50 paise per piece. If Nikhil decides to buy at least one sweet of each type, how many gulabjamuns should he buy?
Explanation:
Let Nikhil buy a, b and c pieces of kajubarfi, gulabjamun and sandesh respectively.
Hence, we have,
a + b + c = 100, and … (i)
10a + 3b + 0.5c = 100 … (ii)
By, 2 × ii – i, we get,
19a + 5b = 100
Hence, a = (100 – 5b)/19
Now, (100 – 5b)/19 will be positive integer only if b = 1.
In that case, a = 5.
Hence, Nikhil must buy 1 gulabjamun.
Hence, option (a).
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