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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 ?

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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 ?
1). 13
2). 16
3). 17
4). 8


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2 answers

0 vote
Answered by on | Votes 0 |
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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0 vote
Answered by on | Votes 0 |
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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