Question

If the price of each apple is reduced by 8% and hence a man can buy 4 more apple in Rs 1150. Find the price of each apple before reduction.

25

26

27

28


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Answer 1

Answer:

Step-by-step explanation:

Let the original price of rice be Rs.x per kg.

So he buys y kg of rice for Rs.77.

When the price becomes 0.8x he gets (y+3.5) for the same Rs.77. So the equations are

xy = 77 … (1)

0.8x*(y+3.5) = 77 … (2)

From (1) x = 77/y, put that value in (2) to get

0.8*(77/y)*(y+3.5) = 77 … (3), or cancelling 77 on both sides,

0.8*(y+3.5) = y or

0.8y +2.8 = y, or

2.8 = 0.2 y, or

y = 2.8/0.2 = 14.

From (1) x = 77/14 = Rs.5.5 per kg

Check: With 20 reduction in the price of rice its cost becomes 0.8*5.5

=Rs. 4.4/kg. And for Rs 77 he gets 77/4.4 = 17.5 kg, i.e. 3.5 kg more than previously.