Question 31

Some capsules were bought for Rs. 176. If the price of each capsule had been Rs. 3 less, 6 more capsules would have been bought for the same amount. What was the number of capsules bought ?

Solution

Let capsules bought = $$x$$

Acc. to ques,

=> $$\frac{176}{x} - \frac{176}{x + 6} = 3$$

=> $$\frac{176 \times 6}{x (x + 6)} = 3$$

=> $$x (x + 6) = 352 = 22 \times 16$$

=> $$x (x + 6) = 16 (16 + 6)$$

=> $$x = 16$$

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