If cost of a pair of trousers was 55percent the cost of a shirt. if Subham intended to buy a pair of trousers and a shirt both then how much money must he have, if the shirt cost 31.50ruppes more than the pair of trousers?
Answers
If the shirt cost 31.50 more than the pair of trouser, then he 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 * [C.P. of a shirt]
∴ C.P. of a pair of trouser = 0.55 * x ....... (i)
Also given that,
C.P. of the shirt = 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, he 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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