Multiple choice

Shivi visited an fbb store. She purchased T-shirts and short-pants in the ratio of 4 : 3 during her first visit on 1st March, 2022 and paid Rs. 1,360 at the cash counter. During her second visit on 15th March, 2022, she purchased T-shirts and short-pants in the ratio of 3 : 1 and paid Rs. 1,080. The cost of a T-shirt, as well as a short-pant in rupees, is a positive integer. If Shivi purchased three short-pants on 15th March, 2022 which is equal to the half the number of short-pants purchased on 1st March, 2022, then the amount she paid in rupees for short-pants during second visit on 15th March, 2022 is ________.

  1. 80

  2. 120

  3. 360

  4. 450

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

From the given information, three short-pants were purchased on March 15, which equals half the number of short-pants purchased on March 1, meaning six short-pants were purchased on March 1. Since the first visit ratio of T-shirts to short-pants is 4 to 3, purchasing six short-pants means eight T-shirts were bought, making the total cost 8 times the price of a T-shirt plus 6 times the price of a short-pant equal to 1,360 rupees. The second visit ratio is 3 to 1, so buying three short-pants means nine T-shirts were bought, making the total cost 9 times the price of a T-shirt plus 3 times the price of a short-pant equal to 1,080 rupees. Solving this system of equations by multiplying the second equation by two and subtracting it from the first gives the price of a T-shirt as 80 rupees and the price of a short-pant as 120 rupees. The amount paid for the short-pants during the second visit is 3 multiplied by 120, which equals 360 rupees.