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Question

Q6. Ram spends Rs.3620 for buying pants at the rate of Rs.480 each and shirts at the rate of Rs.130. What will be the ratio of pants to shirts when maximum number of pants is to be bought?


A

(a) 7:2

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B

(b) 7:3

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C

(c) 2:7

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D

(d) None of the above

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Solution

The correct option is

A

(a) 7:2



Let p and s be, respectively, the number of pants and shirts. Both p and s are integers.

Also, p x 480 + s x 130 = 3620

13s + 48p = 362 -----(1)

Here for maximum p, minimum number of s will be purchased.

At this stage instead of solving (1) you should try answer choices.

p = 7 gives 13s + 336 = 362

Therefore, s = 2


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