Question

the govt reduced the price of sugar by 10% . By this consumer can buy 6.2 kg more suger for ₹ 837 .the reduced price per kg sugar is​

Answer 1

Answer:

Step-by-step explanation:

Conceptually,

The consumer spent a total of Rs. 837, which means that they had definitely spent this amount in buying sugar.

What the government did is that it reduced the price of sugar by 10%

This implies that the consumer still spent Rs. 837 and saved 10% on it

Total saving = 10% of Rs. 837 = Rs. 83.7

Now, the consumer bought 6.2kg of sugar extra from the saved amount

This means, with Rs. 83.7 they bought 6.2kg sugar

By unitary method,

1 kg sugar would cost = 83.7/6.2 =Rs. 13.5/kg

Mathematically,

Let the original price of sugar = Rs. x/kg

After reduction by Government, the price becomes = x - 10% of x = 9x/10 per kg

Now,

(837/(9x/10))-(837/x) = 6.2

or, (10(837)–9(837))/9x = 6.2

or, (8370–7533)/9x = 6.2

or, 837/9x = 6.2

or, 9x = 135

or, x = 15

So, the original price of sugar = Rs. 15/kg

Reduce price of sugar = 9x/10 = (9x15)/10 = 135/10

= Rs. 13.5/kg