CBSE Class 8 Mathematics
Question 13 of 15
Fractions in Disguise — Question 13
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Question Three shops sell the same items at the same price. The shops offer deals as follows:
Shop A: “Buy 1 and get 1 free.”
Shop B: “Buy 2 and get 1 free.”
Shop C: “Buy 3 and get 1 free”.
Answer the following:
(i) If the price of one item is ₹ 100, what is the effective price per item in each shop? Arrange the shops from cheapest to costliest.
(ii) For each shop, calculate the percentage discount on the items.
[Hint: Compare the free items to the total items you receive.]
(iii) Suppose you need 4 items
(i) Effective price per item at shop A = ₹ \(\frac {100}{2}\) = ₹ 50 Effective price per item at shop B = ₹ \(\frac {200}{3}\) = ₹ 66\(\frac {2}{3}\) Effective price per item at shop C = ₹ \(\frac {300}{4}\) = ₹ 75 Cheapest to costliest: A; B; C. (ii) Discount at shop A = \(\frac {1}{2}\) × 100% = 50% Discount at shop B = \(\frac {1}{3}\) × 100% = 66\(\frac {2}{3}\)% Discount at shop C = \(\frac {1}{4}\) × 100% = 25% (iii) To buy 4 items, we choose shop A. Pay for 2, and the other 2 are free.