Question

When the price of sugar was increased by 32%,a family reduced its consumption in such a way that expenditure on sugar was only10% more than before.if 30 kg were consumed per month before, find the new monthly consumption

Answer 1

The new monthly consumption is 25 kg.

Step-by-step explanation:

Consider the provided information.

Let the price of sugar was 100 rupees and they consumed 30 kg per month.

Therefore, the previous expenditure is: 100 × 30 = 3000 rupees

Family reduced its consumption in such a way that expenditure on sugar was only 10% more than before.

3000 + 10% of 3000 = $3000+\frac{10}{100}\times 3000=3300$

Hence, new expenditure is 3300 rupees.

The price of sugar was increased by 32%.

Therefore the new price is: 100+32% of 100 =  $100+\frac{32}{100}\times 100=132$

Thus, the new sugar price is 132 rupees.

Let they consumed x kg sugar per month.

132 × x= 3300

132x=3300

x=25

Hence, the new monthly consumption is 25 kg.

#Learn more

A shopkeeper marks the price of an article at rs. 80. find the cost price if after allowing a discount of 10% he still gains 20% o the cost price.

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