Question

The cost of a box of sweet chocolates and a box of bitter chocolates are in the ratio 2:3. If a box of sweet chocolates cost rupees 270, what is the, a. cost of a box of bitter chocolate b. cost of 10 boxes of bitter chocolates​

Answer 1

Information provided with us:

➪ The cost of a box of sweet chocolates and box of bitter chocolates are in ratio 2:3

What we have to calculate :

➪ The cost of box of a bitter chocolates

➪ The cost of 10 boxes of a bitter chocolates

$\\ \qquad{\rule{200pt}{3pt}}$

$\red{❒}$ Assumption༄

➪ Consider the cost of box of sweet chocolates be 2 x and box of bitter chocolates be 3 x respectively

✰We know that ༄

➪ The cost of box of a sweet chocolates is 270 Rs

$\pink{❒}$ So༄

$\red{❒}$According to the above Condition given in question

$\qquad \pink{\: \:\bigstar \: {\underline{\overline{\boxed{\sf{Cost \: of \: box \: of \: sweet \: chocolates = 270 \:Rs}}}}} \: \bigstar}$

$\longrightarrow\bigstar \: \: \sf\boxed{\bold{\orange{ 2 \: x = 270}}}\: \: \: \bigstar$

$\longrightarrow\bigstar \: \: \sf\boxed{\bold{\purple{ x = \dfrac{270}{2} }}}\: \: \: \bigstar$

$\longrightarrow\bigstar \: \: \sf\boxed{\bold{\red{ x= 135 \: Rs }}}\: \: \: \bigstar$

$\\ \qquad{\rule{200pt}{3pt}}$

✰Now ༄

$\qquad \green{\: \:\bigstar \: {\underline{\overline{\boxed{\sf{Cost \: of \: box \: of \: bitter \: chocolates = 3 \: x }}}}} \: \bigstar}$

➪ Substitute the obtained value of x and solve

$\longrightarrow\bigstar \: \: \sf\boxed{\bold{\orange{ 3 \times (135) }}}\: \: \: \bigstar$

$\implies\bigstar \: \: \bf\boxed{\bold{\blue{405\:Rs}}}\: \: \: \bigstar$

✰ Henceforth ༄

$\rm \: Thus \: cost \: of \:box \:of \:a\: bitter \: chocolates \: is$

$\implies\bigstar \: \: \sf\boxed{\bold{\gray{405 \: Rs}}}\: \: \: \bigstar$

$\\ \qquad{\rule{200pt}{3pt}}$

✰Now ༄

$\qquad \orange{\: \:\bigstar \: {\underline{\overline{\boxed{\sf{Cost \: of \:10 \: boxes\: of \: bitter \: chocolates \: }}}}} \: \bigstar}$

$\longrightarrow\bigstar \: \: \sf\boxed{\bold{\red{ 405 \times 10 }}}\: \: \: \bigstar$

$\implies\bigstar \: \: \bf\boxed{\bold{\blue{4050\:Rs}}}\: \: \: \bigstar$

✰ Henceforth ༄

$\rm \: Thus \: cost \: of \:10 \: boxes \:of \:a\: bitter \: chocolates \: is$

$\implies\bigstar \: \: \sf\boxed{\bold{\gray{4050\: Rs}}}\: \: \: \bigstar$

Answer 2

Given - Ratio of box of sweet and bitter chocolates.

Find - Cost of box of sweet chocolate

Solution - a. cost of a box of bitter chocolate - Rupees 405

b. cost of 10 boxes of bitter chocolates - Rupees 4050

Let the cost of box of sweet chocolate and bitter chocolates be 2x and 3x.

Now, as per the question, 2x = 270

x = 270/2

x = 135

So, the cost of box of bitter chocolates = 3x

Cost of box of bitter chocolates = 3*135

Cost of box of bitter chocolates = Rupees 405

Cost of 10 boxes of bitter chocolates is 405*10

Cost of 10 boxes of bitter chocolates is Rupees 4050.