Nikhil’s mother asks him to buy 100 pieces of sweets worth 100/-. The sweet shop has 3 kinds of sweets, kajubarfi, gulabjamun and sandesh. Kajubarfi costs 10/- per piece, gulabjamun costs 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?
Question
Nikhil’s mother asks him to buy 100 pieces of sweets worth 100/-. The sweet shop has 3 kinds of sweets, kajubarfi, gulabjamun and sandesh. Kajubarfi costs 10/- per piece, gulabjamun costs 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?
Solution
To solve this problem, we need to consider that Nikhil is buying at least one of each type of sweet.
Step 1: Convert all the prices to the same unit. In this case, we'll use paise because the smallest unit is in paise. So, 10 rupees is 1000 paise, 3 rupees is 300 paise, and 50 paise is already in paise. The total amount Nikhil has is 100 rupees, which is 10000 paise.
Step 2: Subtract the cost of one of each sweet from the total amount Nikhil has. This is because he has to buy at least one of each type of sweet. So, 10000 - 1000 (kajubarfi) - 300 (gulabjamun) - 50 (sandesh) = 8650 paise.
Step 3: Now, we need to find out how many gulabjamuns he can buy with the remaining amount. To do this, we divide the remaining amount by the cost of one gulabjamun. So, 8650 / 300 = 28.83.
Since Nikhil can't buy a fraction of a sweet, we round this down to the nearest whole number. So, Nikhil should buy 28 gulabjamuns.
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