Question

Suman generally spent Rs.1500 for buying a month's provision of potatoes. However, lower
yleld this year caused the cost of one kilogram of potatoes to be increased by 20%. Owing to
this, Suman had to buy 30 kg fewer potatoes than usual. What was the cost of potatoes this
year?
O
10
O
12
14.
16
None of these
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Pero​

Answer 1

Answer:

Rs. 1800 is your answer

Answer 2

Answer:

The cost of potatoes after 20% increase in price this month is Rs. 12.5 .

Step-by-step explanation:

Given that :

• Monthly expenditure on potatoes = Rs. 1500
• Due to 20% rise in prices, Suman buys 30 lg fewer potatoes

To find :

• Present cost of potatoes

Solution :

• Let, the present cost of potatoes after 20% rise in price this month be Rs. x. Then, cost of potatoes previous month is

$x - x \frac{20}{100} = \frac{80}{100} x = 0.8x$

• If previous month consumption of potatoes be y kg. Then

$0.8xy = 1500 \\ or \: \: \: xy = \frac{1500}{0.8} = 1875$

• Presently, this month potatoes consumption is reduced by 30 kg due to increase in price.

$x(y - 30) = 1500 \\ xy - 30x = 1500 \\ 30x = xy - 1500 \\ putting \: value \: of \: xy \: we \: get \\ 30x = 1875 - 1500 \\ 30x = 375 \\ x = \frac{375}{30} = 12.5$

• Hence, presently the cost of potatoes after 20% increase in price is Rs. 12.5 .