Question

If the carriage of 810 kg, for 70km cost Rs.45, what will be the co
of 840kg for a distance of 63 km at the half of the former rate?
1. Rs. 21
2. Rs. 20
&
3. Rs. 22
4. RS. 26​

Answer 1

Given,

Initial rate was Rs. 45 for 810 kg for 70km.

Final weight = 840 kg

Final distance = 63 km

Rate is halved than before.

To find,

The final cost.

Solution,

We can easily solve this mathematical problem by using the normal arithmetic method.

Now,

For 810 kg upto 70 km the cost is = Rs. 45

For 1 kg upto 70 km the cost is = Rs. (45/810)

For 1 kg upto 1 km the cost is = Rs. (45/810×70)

After the half rate,

For 1 kg upto 1 km the cost is = Rs. (45/810×70×2)

For 840 kg upto 63 km the cost is = (45×840×63)/(810×70×2) = Rs. 2381400/113400 = Rs. 21

Hence, the final price will be Rs. 21 (option 1)

Answer 2

SOLUTION

GIVEN

The carriage of 810 kg, for 70km cost Rs.45

TO TO CHOOSE THE CORRECT OPTION

The cost of 840kg for a distance of 63 km at the half of the former rate

1. Rs. 21

2. Rs. 20

3. Rs. 22

4. RS. 26

EVALUATION

SOLVE USING RULES OF THREE

We represent the given problem in the table below

$\sf{ \: \: \: \: Weight \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Distance \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Cost }$

$\sf{ \: \: \: \: \: \: \: 810 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 70 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 45}$

$\sf{ \: \: \: \: \: \: \: 840 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 63 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ?}$

Here Weight and Cost are in direct proportion

As weight of the carriage increases the Cost will increase

Also Distance and Cost are in direct proportion

As Distance decreases the Cost will decreases

It is also stated that the new rate ( to be determined) is at the half of the former rate

Hence the required Cost

$\displaystyle \sf{ = \frac{1}{2} \times 45 \times \frac{840}{810} \times \frac{63}{70} }$

$\sf{ = 21}$

∴ The required Cost = Rs 21

FINAL ANSWER

Hence the correct option

1. Rs 21

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