. The cost of 2 purses and 5 slippers is ₨. 2300. If a purse costs ₨. 30 more than a slipper, find the price of each.
Answers
★ Given:
The cost of 2 purses and 5 slippers is ₨. 2300.
The cost of a purse is ₨. 30 more than a pair of slippers.
★ To Find:
The price each of purse and a pair of slippers.
★ Solution:
It is given that the cost of a purse is ₨. 30 more than a pair of slippers.
Let the cost of pair of slippers be x.
So, cost of a purse = 30 + x.
It is also given that the cost of 2 purses and 5 slippers is ₨. 2300.
Forming an equation from the given statements:
2 (30 + x) + 5x = ₨. 2300
→ Opening the brackets:
60 + 2x + 5x = ₨. 2300
60 + 7x = ₨. 2300
7x = 2300 - 60
7x = 2240
x = 320
So,
Cost of slippers = x = ₨. 320
Cost of purse = x + 30 = ₨. 320 + 20 = ₨. 350
★ Final Answers:
Cost of slippers = ₨. 320
Cost of purse = ₨. 350
★ Verification:
Substituting the values in the equation:
2 (30 + x) + 5x = ₨. 2300 with the value of x, we can find out whether our answer is right.
2 (30 + 320) + 5 x 320
2 x 350 + 5 x 320
= 700 + 1600
LHS = RHS
Hence verified!