The cost of pair of a trouser was 55% the cost of shirt if Shubham intended to buy a pair of a trouser and shirt both then how much money must have if the shirt cost rupees 31. 50 paise more than the pair of trouser
Answers
If the shirt cost 31.50 more than the pair of trouser, then Shubham must have Rs. 108.50 with him.
Step-by-step explanation:
Let the cost of a shirt be Rs. "x".
It is given that,
C.P. of a pair of trouser = 55% of the C.P. of a shirt
∴ C.P. of a pair of trouser = 0.55 * x ....... (i)
Also given that,
C.P. of the shirt = Rs. 31.50 more than C.P. of the pair of trouser
∴ x = 31.50 + 0.55 * x ...... [substituting from (i)]
⇒ x - 0.55x = 31.50
⇒ 0.45 x = 31.50
⇒ x = 31.50/0.45
⇒ x = Rs. 70 ← Cost of a shirt
∴ Cost of a pair of trouser = 0.55 * x = 0.55 * 70 = Rs. 38.5
Thus,
In order to buy a pair of trouser and a shirt both, Shubham must have with him,
= [The cost of a shirt] + [cost of a pair of trouser]
= Rs. 70 + Rs. 38.5
= Rs. 108.5
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