Question

Shamita has Rs. 27000 with her. She wants to buy a fridge, but the cost of the fridge is 25% more than the amount she has with her, so she needs to borrow some amount to buy the fridge. Before her visit to the shop, she travelled to her friend's place, her expenditure on conveyance is 16.67% of the amount she has. Find out the amount she has to borrow to buy the fridge.

1. Rs. 11250
2. Rs. 33750
3. Rs. 23750
4. Rs. 21250

Answer 1

Correct Answer - Option 1 : Rs. 11250

Given:

Amount that Shamita has = Rs. 27000

Expenditure on conveyance = 16.67%

Concept Used:

If a is x% more than b, then

a = (100 + x)% × b

Calculations:

Amount that Shamita has = Rs. 27000

Expenditure on conveyance = 16.67%

⇒ Expenditure on conveyance = (1/6) × 27000      [16.67% = 1/6]

⇒ Expenditure on conveyance = Rs. 4500

Amount left with Shamita after travel expense = Rs. (27000 - 4500) 

⇒ Amount left with Shamita after travel expense = Rs. 22500

Cost of fridge = (100 + 25)% of Rs. 27000

⇒ Cost of fridge = Rs. (5/4) × 27000 = Rs, 33750

Amount to be borrowed be Shamita = Rs. (33750 - 22500)

⇒ Amount to be borrowed be Shamita = Rs. 11250

∴ The amount that Shamita has to borrow to buy the fridge is Rs. 11250.